totalNumberHW04POS bricks were examined for cracks. crackedNumberHW04P05 were found to be cracked. The same totalNumberHW04P05 bricks were then examined for discoloration. discoloredNumberHW04POS bricks were found to be discolored. A total of noDamageNumberHW04P05 bricks were neither cracked nor discolored. One of the totalNumberHW04P05 bricks is selected at random. 1) Find the probability that selected brick was cracked, discolored or both. 2) Find the probability that it was both cracked and discolored. 3) Find the probability that it was cracked but not discolored. Show all your caleulations and explanations, do not skip steps. Displaying only the final answer is not enough to get credit. Note: round numerical answers to the fourth decimal place where applicable.
Q: beats beats Suppose that pulse rates among healthy adults are normally distributed with a mean of 80...
A:
Q: 44. A regression analysis yields the line ŷ = 32 + 0.4x. One of the subjects, Racheal, has a = 60 an...
A: As per guideline plse mention Question number... otherwise post separately. Sol for Q44.given below
Q: QUESTION An Internet Service Provider opens 10 new accounts per day, on average. Let X be a random v...
A: We have given that Poisson probability distribution. P(X=x) = e-λ*λx/x! , X= 0 , 1 , 2...... 7
Q: (a) both machines will be performing a usual function, (b) neither will be operating, (c) only machi...
A: Here use venn diagram Here A = machine A operate usually B = machine B operate usually
Q: The probability that an evening college student will graduate is 0.4. Determine the probability that...
A: We have given that Success of probability p =0.4 Number of trials n=5 X~binomial ( n,p)
Q: Suppose we pick one card from a deck of cards, what is the probability of getting a King or a Spade?
A:
Q: A normal quantile graph is created by breaking the data into different sections based on the probabi...
A: In statistics, a normal quantile plot has a very important role to play. It is mainly used to make c...
Q: 3.45 Write the event a patient has an illness as T. Write the event that a test reports the patient ...
A: Probability of one head = 38 Probability of two heads = 38 Probability of three heads = 18 Probabili...
Q: There is a p(x1) = 0.4 probability to observe x1 = 10 and p(x2) = 0.6 probability to observe x2 = 5...
A: We have given that X 10 5 P(X) 0.4 0.6
Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random, fin...
A: Farmula used nCr=n!/(r!(n-r)!) r!=r(r-1)(r-2)x....x3x2x1
Q: probability or drawing standard deck of cards, given that the first card is an ace? The cards are no...
A: Given that the first one is Ace there are a total 51 cards remaining in the deck with 3 Aces , so dr...
Q: Direct evidence of Newton's universal law of gravitation was provided from a renowned experiment by ...
A: Given data: 5.36,5.29,5.58,5.65,5.57,5.535.62,5.29,5.44,5.34,5.79,5.10,5.27,5.39,5.42,5.47,5.63,5.34...
Q: Given that P(4) = 0.2, P(B)= 0.7, and P(A|B) = 0.12. Then P(A B)= 0.233 0.184 O None of other option...
A: Given P(A)=0.2P(B)=0.7P(A|B)=0.12
Q: your Suppose one of these kinds of fish is caught at random. Determine each of the following and hun...
A: We have given that the information in cross tabulation. The total number of fish are 42.
Q: Expected values and Binomial distribution 2. A packet of vegetable seeds has a germination rate of 9...
A:
Q: Construct a 98% confidence interval to estimate the population mean when x= 131 and s = 34 for the s...
A: We have given that Sample mean = 131 Sample standard deviation s=34
Q: Ane the events E and F the event "the "sum, is even. independent ? Explain
A: Here two dice are rolled So Total possible outcomes = 6×6 = 36
Q: The probability that both locations will have high sales next quarter is (E)
A: Here Given Automobile dealer owns two dealership at two different location And Probability of High...
Q: 30. The chess clubs of two schools consists of, respectively, 8 and 9 players. four members from eac...
A:
Q: A teacher constructed a test in which the first part is composed of five true-or-false questions and...
A:
Q: Alcohol withdrawal occurs when a person who uses alcohol excessively suddenly stops the alcohol use....
A:
Q: Using the t table, give the confidence coefficients for each of the following: а. n %3D 12, 95% conf...
A: Given,α=1-0.95=0.05α2=0.025
Q: In linear models the Variance-Covariance matrix plays key role when estimating the parameters. State...
A: Find the estimate of β and variance of estimate of β
Q: a) You are considering a sales job that pays you on a commission basis or a salaried position that p...
A: Expected value is given by, E(X)= ΣXi*p(xi) Expected value for commission Insurance Agent, E(X1)= (1...
Q: TOPIC: PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS 6) A number is drawn at random from the set ...
A:
Q: In rolling a die, the probability of getting odd number is an example of O sum rule O product rule
A: There are total 6 faces in a die. There are total 3 odd numbers (1,3,5). Then the probability of ge...
Q: TOPIC: PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS 8)A fair die is tossed three times. Find the...
A:
Q: If X has an exponential distribution with probability mass function -2x f(x) = P(X = x) = {le¬A*, 0,...
A: Given,f(x)=P(X=x)=λe-λx; x>00; elsewhere
Q: 3. A random sample of size 16 is taken from a normal population with mean u. If the sample mean is 6...
A:
Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to d...
A:
Q: The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurant...
A: Given n=3 P=1/3
Q: Below is a graph of a normal distribution with mean u=-2 and standard deviation o= 2. The shaded reg...
A:
Q: Texting: Five teenagers are selected at random. Let X be the number of them who have sent text messa...
A: As per company guidelines I solved exactly three subparts of the question .thank you X
Q: Theorem 1.7.4 x" -le* dx is convergent if and only if n> 0.
A:
Q: Normal probability tables typically list z-score values between -3.49 and 3.49 O True O False
A:
Q: Theorem 2.1.5 If A, A2 ..., A, are n ( z 2) events, then P UA i- 1 E P(A;} – E P(A¡ N A}} + £ P(A¡N ...
A:
Q: The probability distribution for the number of students in Statistics classes offered at a small col...
A:
Q: If a card is drawn randomly from a deck of 52 cards, what is the probability that the card is from t...
A: GivenTotal no.of cards in deck = 52
Q: In a company, a mechanic maintains four very important machines in a production process, which usual...
A: Let λ1 denotes the average of machine breaks down time. Let λ2 denotes the average of repairing time...
Q: What percent of the group watched none of the three sports last year
A: Let is define some events A : a group watch soccer. B : a group watch basketball. C : a group watch ...
Q: IDENTIFY WHETHER EACH RANDOM VARIABLE IS DISCRETE OR CONTINUOUS AND CITE TWO POSSIBLE VALUES FOR EAC...
A: A variable is said to be discrete if it takes only specific values i.e integers or whole numbers. A ...
Q: Specifically, we see from model selection that it may be desirable to select only a subset from avai...
A: Given information: The number of observations is n. The number of predictor variables is n – 1.
Q: The standard deviation of the lifespan of a certain brand of LED light bulbs Is 20 months. The quali...
A: We have given that. 1) X~N( μ , ?^2 ) μ =147 , ? =20 , n=70 Z-score =( x - μ )/?
Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to d...
A:
Q: Let X be a continuous random variable with the following cumulative distribution function: x 2 Then ...
A: We have given that Cumulative distribution function. F(x) First i want convert cdf to pdf Differen...
Q: Given that P(A) = 0.2, P(B) 0.7, and P(A|B) 0.12. Then P(A B) 0.233 0.184 None of other options 0.20...
A: Let A and B are two events with P(A) = 0.2 , P(B) = 0.7, P(A/B) = 0.12 Then, We will find P(A'∩B') =...
Q: Abigail needs to create a four-digit password to access her voice mail. She can repeat some of the d...
A:
Q: 8. Theorem 1.7.4 x -le* dx is convergent if and only if n > 0.
A:
Q: Theorem 1.7.2 [ x-'(1– x)" -dx is convergent if and only if m > 0 and n> 0. Scanned with CamScanner
A:
Step by step
Solved in 2 steps
- A second-stage smog alert has been called in a certain area of LosAngeles County in which there are 50 industrial firms. An inspector willvisit 10 randomly selected firms to check for violations of regulations. a. If 15 of the firms are actually violating at least one regulation,what is the pmf of the number of firms visited by the inspector thatare in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by a simpler pmf.c. For X= the number among the 10 visited that are in violation,compute E(X) and V(X) both for the exact pmf and theapproximationg pmf in part (b).A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations.a. If 15 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by a simpler pmf.c. For X = the number among the 10 visited that are in violation, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b).A fleet of 100 taxis is divided into two groups of 50 cars each to see whether premium gasoline reduces maintenance costs. Premium unleaded fuel is used in group A, while regular unleaded fuel is used in group B. The total maintenance cost for each vehicle during a one-year period is recorded. Premium fuel will be used if it is shown to reduce maintenance costs.
- A survey of a random sample of U.S. adults by The Pew Research Center for the People and the Press conducted in early January 2010 recorded each participant’s highest level of education completed and whether they knew that responding to the Census was required by law. Of the 973 participants who had some college or less, 271 knew that responding to the Census was required by law. Of the 526 participants who had a college degree or more, 195 knew that responding to the Census was required by law. Is there an association between a person’s level of education and her/his Census awareness? 1. Calculate an appropriate standardized statistic in the context of the study?Students who are home-schooled often attend their local schools to participate in various types of activities such as sports or musical ensembles. According to the government, 82% of home-schoolers receive their education entirely at home, while 12% attend school up to 9 hours per week and 6% spend from 9 to 25 hours per week at school. A survey of 85 students who are home-schooled revealed the following information about where they receive their education. Entirely at home Up to 9 hours 9 to 25 hours 50 25 10 At α=0.05, is there suffificient evidence to conclude that the proportions differ from those stated by the government?In many colleges, educators are changing their approach to instruction from a “teacher/lecture-centeredmodel” to a “student-centered model” where students learn in a laboratory environment in which lectureis deemphasized and students can proceed at a pace suitable to their learning needs. In once schoolwhere this model was being introduced, of the 743 students who enrolled in the traditional lecture model, 364 passed; of the 567 in the student-centered model, 335 passed. Use a 0.05 level ofsignificance to test the claim that student-centered model results in a higher pass rate than the traditionalmodel?
- A cohort study was conducted over five years among 200 trial attorneys and general practice attorneys after stringent tort law reform, to see how many would develop heart conditions over time. In total, 50 attorneys developed heart disease. It was found that 40 who developed disease practiced trial law, while 10 who developed disease did not practice trial law. One hundred (100) who did not develop disease also did not practice trial law, and 50 who did not develop disease practiced trial law. Set up the 2 x 2 table and calculate the appropriate rate of riskThe University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 139 users of the current system, the University finds that 66 say they like the current system. In another sample of 92 experimental users of the “new” system, the University finds that 73 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, what is the test statistic? (please round your answer to 2 decimal places)If a manufacturer is trying to put together a sample collection of her safetyproduct and order is not important, how many combinations can becreated with 15 items that will be placed in packages containing fiveitems? If order is important, how many permutations can be created?
- At a company, the quality assuran_ce staff has set up a criter_ion to assure if the quality of their products are ready to be expor_ted. Each of the exported box contains 25 pieces of their product. Three inspection staffs are assigned to do one by one inspection. Namely, the first inspector will randomly select one piece from the box and record if it is defective or non-defective and return that piece to box. The second inspector has repeated the same way of inspection as the first inspector and, lastly, the third inspector also repeats the same action one more time. The criteri_on is as follows. If all inspectors have not found any defective product, then {th_e} box is accepted to be exported. On the other hand, if at least one of the inspector has found the defective product, the whole box must be rejected and must be returned for reproduction. By considering this way of inspection process, find The prob that a box contaning exact_ly 3 defective product would pass the inspection…What is the qoutientAs part of a study on how people of different ages use mobile technology, each person in a sample of 258 cell phone users age 20 to 39 was asked if they use their cell phones to stay connected while they are in bed. The same question was also asked of each person in a sample of 129 cell phone users age 40 to 49. In the 20 to 39 years age group, 168 people indicated that they do stay connected while they are in bed, whilst in the 40 to 49 years old age group, 61 people stay connected while in bed.Let: ??̂ 1 = Proportion of cell phone users age 20 to 39 who stay connected while they are in bed ??̂ 2 = Proportion of cell phone users age 40 to 49 who stay connected while they are in bed ??̂= Pooled proportion of cell phone users who stay connected while they are in bed