What is the Reliability of the system below?
Q: Cost of Pizzas A pizza shop owner wishes to find the 95% confidence interval of the true mean cost…
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Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…
A: f(x,y)=(x+y)/21 ; x=1,2,3 and y=1,2
Q: Suppose that 35% of all voters prefer Candidate A. If 8 people are chosen at random for a poll, what…
A: We have given that p = 35% = 0.35 n = 8 Here we will use binomial distribution The PMF of the…
Q: Two letters are chosen at random from A to Z for a password. The letters must be different from one…
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Q: An advertisment claims that 639% of customers are satisfied with a certain bank, What is the…
A: Given that n=490 , p=63.9%=0.639 , q=1-p=1-0.639=0.261
Q: Probability: An Event and its Complement Determine the following probabilites. Write your answer in…
A: Given,The probability that a person will get the flu in a given year is 14%.
Q: It’s never lupus. Lupus is a medical phenomenon where antibodies that are supposed to attack foreign…
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Q: Which of the following statements are true about random sampling: O four tosses of an unbiased coin…
A: Random sampling refers to the type of sampling in which sampling can be done without any biasness…
Q: You wish to test the following claim (H.) at a significance level of a = 0.05. H.:µ = 79.7 H:µ <…
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Q: Jse the confidence interval to find the estimated margin of error. Then find the sample mean. A…
A: Solution: The given confidence interval is ( 3.0, 3.6) Lower limit= 3.0 Upper limit= 3.6
Q: Probability of Two Events: Intersection and Union A single card is drawn at random from a deck of 52…
A: Given that There are 52 card in the deck in which they divided into two color i.e red(26) and black…
Q: (a) In a dog show it is claimed that a dog could read the words Zero', One', "Two', 'Three', 'Four',…
A: a) The number of ways a dog fails to pick the numbered bones in the order of 'nine', 'zero' and…
Q: 1. In how many ways can 3 boys and 2 girls be seated in a row for picture taking if the boys would…
A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: The weather channel reports that the chance of rain for the next 3 days is 40%. What is the…
A: A number of events are said to be independent if the probability of occurrence of any one of them is…
Q: Use the spinner below. 12 1 11 2 10 3 4 8 7 5 6 P(>2) =
A: For the given data p(>2)=? p(odd number ) =?
Q: You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ >…
A: From the provided information, Sample size (n) = 73 Sample mean (M) = 77.2 Standard deviation (s) =…
Q: Which of the following is true about the probability density function (pdf) of a continuous random…
A: We have given that the statement about to the probability density function (pdf) of a continuous…
Q: 21. A die is rolled. a. an even number or a 3? b. an odd number or a 4? с. an even number or a 1?
A: We have given that, If a die is rolled then the sample space (s) is, s = { 1, 2, 3, 4, 5, 6 } = 6…
Q: a. Find a 95% confidence interval for u. b. Find a 90% confidence interval for u. H. c. Find a 99%…
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Q: One hundred cards numbered 1 to 100 are placed in a box. A card is selected at random from a box.…
A: An event is an outcome or a set of outcomes of a random experiment to which a probability is…
Q: A random sample of 93 observations produced a mean x = 25.5 and a standard deviation s 2.8. a. Find…
A: Given n=93, sample mean x̄=25.5, s=2.8
Q: Show E(XY)
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Q: If probability events A and B are independent what can we be sure of? P(ANB) = P(A) P (B) P(A) +…
A: It is given that The two events A and B are independent.
Q: a. If L is the event that 2 heads appear, find L b. If M is the event that a red ball is drawn, find…
A: here given, two coins are tossed and a balls is drawn from bag contains yellow and red ball H = head…
Q: A bag contains 4 blue marbles and 5 red marbles. If two marbles are drawn one after the other…
A: The bag contains 4 blue marbles and 5 red marbles.
Q: uppose you are playing a game where you bet $5 and have a 48% chance of winning. The bet is 1:1.…
A: Given that Suppose you are playing a game where you bet $5 Chance of winning = 48% P(win) = 0.48…
Q: Eight members of the committee will be chosen from 15 senior and 10 junior students. 13.) If there…
A: We have given that Senior students = 15 Junior students = 10 Total number of students = 15 We have…
Q: Which of the following is true about the probability density function (pdf) of a continuous random…
A: For a continuous random variable of a pdf, f(x) is used for the graph of the distribution. The total…
Q: A quality-control inspector has ten assembly lines from which to choose products for testing. Each…
A: A quality-control inspector has ten assembly lines from which to choose products for testing. Each…
Q: Show E(X²)
A: First we have to determine the marginal pdf of X tp calculate the value of E(X2).
Q: A company manufactures panes of glass. The probability that a pane of glass has bubbles is 0.01. If…
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Q: Please help with a,bc C. Based on your answer to part (b), choose what the administrator can…
A: Given that Hypothesized Population Mean (\mu)(μ) = 2424 Population Standard Deviation…
Q: 3. Suppose the log-ons to прuter fet rR 1OTIOW a POisson process with an average counts per minute.…
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Q: A population of 2,800 students from a certain region have normally distributed National Examination…
A: Given,sample size(n)=35mean(μ)=89standard deviation(σ)=5
Q: Matching questions ask you to match each question on the left with one of the choices on the right.…
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Q: Without looking at the bags, a young boy reaches into one of them and withdraws a U.S. coin.…
A: here define events boy reached into Green bag = G boy reached into blue bag = B U.S. coin = S…
Q: from the letters of the word STATISTICS?
A: Given the letters of the word STATISTICS
Q: At any given time, a subatomic particle can be in one of two states, and it moves randomly from one…
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Q: Using change of variables: Let y = f(x), where x and y take values in IRn. The probability…
A: Taking n = 1, we have: f: R-> R If X and Y are discrete, then we have: PY( y) = ∑x:f(x)=yPX(x)…
Q: and simplify any fractions as needed. What is the probability that Roy will choose a blue marble…
A: We have given that Roy has 12 marbles of two colours white and blue. Each marble is labeled with a…
Q: Write the Sample space, outcome or event of the ff: 2. A bag contains six identical balls: two…
A: let E is the event of drawing 3 balls from the bag and S denote the sample space Hence, total…
Q: 12. During a laboratory experiment, the average number of radioactive particles passing through a…
A: Let X be the particles passing through a counter from Poisson distribution with average (λ) = 4…
Q: INSTRUCTION: EXPLAIN THE STEP BY STEP SOLUTION IN SENTENCES/PARAGRAPH. An adult rabbit's average…
A: Let X be the random variable from normal distribution with mean (μ) = 30 and standard deviation (σ)…
Q: 3) Suppose that the time in hours needed to locate and correct a problem in the software that…
A: Here, mean is 10 and variance is 9. Standard deviation will be 3. We will use z-standard normal…
Q: Suppose that 10 employees are to be divided among three jobs, with three employees going to job 1,…
A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…
Q: Randall at Churchill Circuits (CC) has just received an emergency order for one of CC's…
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Q: Assuming a constant failure rate of 0.012 with an exponential probability distribution, if only a…
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Q: compute the probability of getting 6 or more questions correct out of 8 questions correct on the…
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Q: Answer the following items by calculating the probability of committing an error. Given: u = 300, &…
A: Given information:- μ=300, x¯=290σ=25, n=35
Q: Two dice are rolled. The sum of the dice is a 2 or 3. Compute the probability of the compound event…
A: We have given that, Tw dice are rolled the the sample space (s) is, s = {(1,1), (1,2),…
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- 2.) Consider an M/M/2 system with an arrival rate of 9 per minute and a service rate of 8 per minute. What is the average time a customer spends in the system? Take your answer to three decimal places. Omit the units in your answer.The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 8.2% daily failure rate. Complete parts (a) through (d) below.At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. The fast food joint takes exactly 2 minutes (this is constant). The average total time in the system is 6.0 minutes. 8.0 minutes. 5.4 minutes. 2.5 minutes.
- 3.) M/M/2 Mean Arrival Rate: 20 customers/hour Mean Service Rate: 12 customers/hour Number of Servers: 2 Customer Waiting Cost $10/hour Assume an 8-hour day. Assume the customer waiting cost is based on time in the system. What is the daily cost of customer waiting?At Chairs and More, assemblers are apud according to the following differential piece rate scale 1-25 chairs in a week, $10 each; 26-40 chairs in a week $13 each; 40 up chairs in a week $17.50. Salina Grant assembled 47 chairs in one week. Find her gross pay.In 2013 the average houshold credit card balance was $9,884. In 2016 the average houshold credit card balance was $11,184. (a) Compute the average yearly change in credit card balance from 2013 to 2016 (b) Use this to predict what the average credit card balance was in:i. 2014ii. 2015iii. 2017iv. 2018 (c) In 2014 the avearge balance was $10,450 and in 2015 the avearge balance was $10,762. Where your predictions good for those years? (d) In 2017 the average balance was $10,821 and in 2018 the aveage balance was $9,333. Where your predictions good for those years?
- You give a final attempt to bring the effect of Size back into the equation by forcing the assumption of homoskedasticity onto your estimation. The results are as follows: cost^= = 7,311.17 + 3,985.20 × Reputation – 0.20 × Size (1,985.17) (593.65) (0.07)+ 8,406.79 × Dpriv – 416.38 × Dlibart – 2,376.51 × Dreligion (1,423.59) (1,096.49) (989.23) R 2=0.72, SER = 3,682.02Calculate the t-statistic on the Size coefficient and perform the hypothesis test that its coefficient is zero. Is this test reliable? Explain.An automated machine dispenses milkshakes into large-size cups at a local fast food chain. The amount dispensed is normally distributed or N(23,1.4), all measures in ounces. If the cups can hold a maximum of 25 ounces, and 700 milkshakes are sold on a particular day, about how many of the milkshakes will overflow?The chart below gives price and fuel efficiency for the Ford Escape, a small SUVs with conventional or hybrid engines from a web search on February 21, 2022. Car Model Price Average Mileage (mpg) Ford Escape S model (conventional) $26,510 28 city/ 34 highway Ford Escape SE (hybrid) $29,170 44 city/ 37 highway What is the annual cost to drive the conventional Ford Escape for 10,000 miles (5,000 city driving and 5,000 highway) if gas costs $3.57 per gallon? What is the annual cost to drive the hybrid model Ford Escape for 10,000 miles (5,000 city driving and 5,000 highway) if gas costs $3.57 per gallon? How much money would you save annually if you bought the hybrid model instead of the conventional Ford Escape, assuming you drove 10,000 miles each year? How many years of driving the more fuel-efficient hybrid would it take for you to make up difference in its higher sticker price over the price of the conventional model?
- At Chairs and More, assemblers are paid according to the following differential piece rate of scale 1-25 chairs in a week, $10 each ; 26-40 chairs in a week $13 each;Percentage of the population classified as used in 2010 is? 28.8% 6.3% 12.4% 36.2% the average annual crude birth rates for the period at 1991 to 2001 was? 6.9 7.8 6.2 687.2Workers who manufacture belts are sometimes paid based on the number of belts they produce. Compute Ada's gross pay if she made 744 belts. The rate per belt is given by the differential piecework schedule below. Pay Level Items Produced Rate per Item 1 1–240 $3.20 2 Over 240 $4.13 a$2,604.00 b$2,849.52 c$3,372.00 d$3,840.72