Problem : If two identical elements each having a reliability of 0.95 are in parallal redundancy in a system, determine the system reliability. If they are connected in standby redundancy, what would be the change in system reliability?
Q: Three balls are selected at random from a bag containing 2 red, 4 orange and 3 green balls. What is ...
A: Given,no.of red balls=2no.of orange balls=4no.of green balls=3Total no.of balls=9
Q: 10. Determine the probability density function for the cumulative distribution function shown below....
A: Ans#- Given cumulative distribution function F(x) = 0,x<-20.25x+0.5-2≤x<10.5x+0.2...
Q: 10. A multiple-choice test has 4 choices, one ofwhich is a correct answer. If a student just guesses...
A: ( 10 ) Given that n =4 , p= 0.25 ,p( x =3 ) =?
Q: The table below shows the number of survey subjects who have received and not received a speeding ti...
A:
Q: Consider the following figure, if a dart is thrown at this, what is the probability that it will lan...
A: Here Dart is thrown
Q: In how many ways can 10 engineers and 4 doctors be seated at a round table if no two doctors sit tog...
A: Given that 10 -- engineers 4 -- doctors In how many ways seated round a table if no two doctors sit ...
Q: O a. If F(X,Y)=F(X)F(Y), it is not necessarily true that p(XY)=p(X)p(Y) O b. If p(XY)=p(X)p(Y), then...
A: Given the statement(s) : We need to choose the correct statement(s).
Q: An auto parts store sells an average of 8.3 oil filters per week. Use the Poisson distribution to fi...
A: Given that average = 8.3 ,p( x = 6 ) = ?
Q: How many ways can a four-letter word be arranged from the word "PHILIPPINES"?
A: Given Given word PHILIPPINES
Q: The probabilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20, 0.30...
A: Given that Find Variance of A = ?
Q: If 14% of active duty soldiers in the U.S. Army are women. Find the probability that none of the fou...
A: Let X be the number of women soldier in U.S army from binomial distribution with probability (p)= 0....
Q: Define P ( z ≥ 1.45 ) P ( -1.34 ≤ z ≤ 1.52 )
A:
Q: The probabilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20, 0.30...
A:
Q: A box contains 5 balls. Two are numbered 1, one is numbered 2, and two are numbered 3.The balls are ...
A: Solution-: We find the mean, variance, and standard deviation of the numbers on the balls.
Q: 1) A shipment of five computers contains two that are slightly defective, If a retailer receives thr...
A: Since you have asked multiple questions, we will solve the first question for you. If you want the o...
Q: The service stations along a highway are located according to a Poisson distribution in space, with ...
A: Given,The average no.of service station in 15 miles is 1so, the average no.of service station in 45 ...
Q: here are two sacks that has apples and oranges. Sack 1 has 1 apple and 9 oranges. ack 2 has 1 apple ...
A: Solution
Q: A chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to cus...
A: Given, X 1 2 3 4 P(X) 0.3 0.5 0.1 0.1
Q: 3. A bowl contains 5 red balls, 3 green balls, and 2 white balls. if one ball is chosen at random a....
A:
Q: From a sack of fruit containing 3 apples, 2 bananas, and 3 oranges, a random sample of 4 pieces of f...
A: Solution
Q: find the missing element in the sample space S=(x|x^3+2x^2-5x-6=0) where S={-3,-1,_}
A:
Q: Could you please provide answers to this question al
A: From the given information, the total number of cases is, n=534+528+881=1943. 1) 95% CI for the week...
Q: A radio shop sells, on an verage, 200 radios per day with a standard deviation of 50 radios After an...
A:
Q: 1. Identify the following as discrete or continuous random variables. (a) Q: Total number of points ...
A: Identify the following are Discrete or continuous
Q: A pair of dice is rolled over and over again. What is the probability of the event E that the sum of...
A: To solve this problem, we need to recall the following concepts of probability. If two events A and...
Q: Deriving the Maximum Likelihood Estimator 1 punto posible (calificable) iid We use the same statisti...
A:
Q: Records show that the performance of male college students in Mathematics in terms of final grade is...
A: We have given that Sample sizes n1=44 , n2=36 Sample means X̄1=93.45 , X̄2=87.42 ...
Q: Suppose that events A, B, and C are independent. (a) Use a Venn diagram to find an expression for P(...
A: Given that uppose that events A, B, and C are independent. Using this we have to solve:- (a) Use a ...
Q: Determine if the compound events are mutually exclusive or not. 1. Getting a 1-peso coin or a 25-cen...
A: @solution:::: Any two occasions are supposed to be totally unrelated on the off chance that they c...
Q: Find out the probability of getting a total of either 7 or 11 in a single roll of two dice?
A:
Q: Calculate the probability of 800 heads in 1600 tosses of a coin. If you cannot solve this exactly, c...
A: Number of tosses (n) = 1600 The probability of getting head in a single toss = 1/2 = 0.50.
Q: If we take samples from the population that has an unknown probability distribution, the sampling di...
A: Above statement is true or false
Q: Toss a coin 10 times and record the number of heads. After all members of the class have completed t...
A: Generally speaking, the outcomes of a random experiment are called random variables. Sometimes the o...
Q: Consider an experiment in which you will draw two cards sequentially from a bag containing 4 cards m...
A:
Q: The degrees of freedom for the sample containing 10 measurements is v = 10. True False
A:
Q: Question 1: In a group of 100 students, 90 study Mathematics, 80 study Physics, and 5 study none of ...
A:
Q: A die and an equal n-segment colour spinner (with n-different colours) are spun simultaneously. The ...
A:
Q: Let X, Y Xave the jaint MF a houun in the gallomung t akle: pCX,y) 1 6.07 O.05 8.03 0.07 0.06 0.01 0...
A:
Q: 200 students were surveyed about sports they regularly participate in. a) How many don't participate...
A: In the given problem we have given that, 200 students were surveyed about sports they regularly part...
Q: In how many ways can you choose 2 clubs and 3 hearts in a standard deck of cards? Compute the total ...
A: Principle counting can be understand using the two methods, they are permutation and combination. Pe...
Q: Question Darryl plays a card game with his sister. He uses a 52 card deck and she chooses 1 card. If...
A: Given that, Darryl plays a card game with his sister. He uses a 52 card deck and she chooses 1 card....
Q: The PDF of a random variable Y is y/2 0<y<2 fy (y) otherwise a. What is E[Y]? b. What is Var[Y]? Ans...
A: The PDF of random variable Y is f(y) = y/2 , 0<y<2 , 0 otherwise
Q: In how many ways can 12 people be divided into 3 groups where 4 persons must be there in each group?...
A: Solution: Given information: n= 12 Total number of people. There are 3 groups each group has 4 peop...
Q: Let X and Y have the joint pmf defined by f(x,y) = where x = 1,2 and y = 2,4 a. Solve for c. b. Show...
A: Solution
Q: An airport limousine can accommodate up to four passengers on any one trip. The company will accept ...
A: Given : n = 6 p = 0.25 q = 1-p = 1-0.25 = 0.75
Q: 2) Shade (BU C) U A A
A: Given that (B∪C)'∪A We have to shade the given area
Q: A problem in statistics is given to five students A, B, C, D and E. Their chances of solving it are ...
A: Here, P(A) =1/2 , P(B) =1/3, P(C) =1/4,P(D) =1/5 and P(E ) =1/6.
Q: A coin is flipped and a number cube is rolled. The tree diagram below shows the possible outcomes. U...
A: a) A coin is flipped and a number cube is rolled.
Q: The 2010 Philippines Census found the chance of a household being a certain size. The data is in the...
A: A discrete random variable is a variable whose values are obtained by counting. Though, the values c...
Q: ACTIVITY 3- Solve the following problems on permutations. Write your complete solution in your answe...
A:
Step by step
Solved in 3 steps
- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 23.4 The system is tested on a sample of one hundred computers and the average connection speed is found to be far below 400 kilobits. What hypothesis should probably be rejected? Explain. If the customer needs a connection speed of 400 kilobits to run her application programs, what is the business decision that corresponds to the decision regarding the hypotheses?With the urgency of trying to get so many individuals vaccinated against the Covid-19 virus, it is important to be able to offer clinics in places where most individuals can and want to be able to access clinics in their neighbourhoods. Unfortunately, costs of setting up clinics and running them are somewhat expensive. The county health unit in one particular county in Ontario is not only responsible for setting up and running these clinics, it is also responsible for any expenses involved with these clinics. The health unit in this county has identified 8 potential locations, the neighbourhoods (labelled 1 through 10) in the county that each location is most likely to attract potential individuals to get their vaccinations, and, the estimated total costs of setting up and running the clinics in each of these potential locations until the clinics are no longer needed there. The following table includes the potential locations (labelled A through H), the neighbourhoods in the county…
- SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing interocular lenses used in the human eye following cataract surgery. Three hundred lenses were tumble polished using the first polishing solution, and ofthis number, 253 had no polishing-induced defects. Another 300 lenses were tumble-polishedusing the second polishing solution, and 196 lenses were satisfactory upon completion.(a) Is there any reason to believe that the two polishing solutions differ? Use α = 0.01In the oil-wildcatting problem (book chapter 7), suppose that the company could collect information from a drilling core sample and analyze it to determine whether a dome structure exists at Site 1. A positive result would indicate the presence of a dome, and a negative result would indicate the absence of a dome. The test is not perfect, however. The test is highly accurate for detecting a dome; if there is a dome, then the test shows a positive result 99% of the time. On the other hand, if there is no dome, the probability of a negative result is only 0.85. Thus, P(+ | Dome) = 0.99 and P(- | No Dome) = 0.85. Use these probabilities, the information given in the example, and Bayes' theorem to find the posterior probabilities P(Dome | +) and P(Dome | -). If the test gives a positive result, which site should be selected? Calculate expected values to support your conclusion! If the test result is negative, which site should be chosen? Again, calculate expected values
- It describes a scenario in which a math teacher named Matt allows his students to use a 1-page reference sheet during exams, and compares the effectiveness of this method to a colleague's method of providing a pre-made reference sheet for students.A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units ofVit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.Required:1. Formulate the following:a. Decision variablesb. Objective functionc. Constraints2. Graph3. Identify feasible region.4. Solve for the value of X and Y at each point.5. Decision.In the system in Figure 2.7, each component fails with probability 0.3 independently ofother components. Compute the system’s reliability.