Obtain the expected value of a random variable with four values 1,2,3,4 with probabilities P(1)= 1/4 ; P(2)=1/4 ; P(3)=1/8 ; P(4)=3/8

Q: How many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if the number is odd and…

A: numbers: {3,2,7,6,0,4,9} make 4 digit numbers  no repeatation odd numbers: last digit must be odd.…

Q: A = {1, 2, 5, 7, 9}, B = {1, 3, 4, 7, 8} C = {3,4,6,8} Verify by direct computation each equa a. AU…

A: Given,A={1,2,5,7,9}B={1,3,4,7,8}C={3,4,6,8}

Q: A process yields 10% defective items. If 100 items are randomly selected from the process, use…

A: Givenp=0.10sample size(n)=100Let "x" be the no.of…

Q: Each question of a 5-question multiple choice exam has 5 possible answers. Suppose a student picks…

A: From given data we have : Total No. of question = 5

Q: 1. A data set is Gaussian with an average of 3 and a standard deviation of 2. a. What percentage of…

A: 3. In the problem 1, let us assume that lognormal distribution instead of normal. Mean=3Standard…

Q: Question 17 The random variable X represents the number of credit cards that adults have along with…

A:

Q: We would like to test a hypothesis regarding one population mean.  The null hypothesis is H0: μ =…

A: GivenThe null hypothesis is H0:μ=31.7sample size(n)=22Mean(x)=28.9standard deviation(s)=6.4

Q: The return period of very severe sea storms resulting in structural failures in a ship is assumed to…

A: Obtain the probability that a ship will not be damaged in 20,000 hours.   The probability that a…

Q: containing 2 balled colored green and purple. An experiment consists of repeatedly drawing one ball…

A: Given that  A jar containing 2 ball which color are green and purple  3 ball are drawn at random one…

Q: Suppose that W is a discrete random variable and its cumulative distribution function is given in…

A: E(W)=3.375 P(W=3) =0 P(2 <= W <= 5)=19/32

Q: Create a diagram showing the distributions in question 3 and describing the relationships between…

A: Given information: The information about 3 continuous distributions is given.

Q: There are two bags each containing 10 books all having different titles but of the same size. A…

A:

Q: A fruit-canning company produces 250ml pineapple juice cans at its bottling plant. The population…

A: Given that, The population standard deviation for volume of pineapple juice filled in the cans is,…

Q: You work as a health inspector and must visit each of the 15 restaurants in town once each week, If…

A:

Q: Ten nominees for an award are seated at a round table at a banquet. (a) Three awardees are chosen.…

A: Solution: From the given information, the number of nominees is 10.

Q: In how many ways can a president, secretary, and a treasurer be chosen from 12 students

A: Given Total no.of students(n)=12

Q: What is the probability that a tourist visited at least one of these places?

A: It is given that  P( Beijing ) = 68% = 0.68 P( Xi’an ) = 61% = 0.61 P( Beijing and Xi’an ) = 29% =…

Q: How

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Q: Question 20 Which of the following is NOT a property of a binomial experiment?

A: which of the following is not a property of a binomial experiment.

Q: The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a…

A: Given n=20, mean μ=197.5, standard deviations σ=8  (a) P(X=207.5)=? (b)  P(x̄>195.30)=?

Q: 3. The Cov(X) of a random vector X'= (X₁, ..., Xn) is defined as E{(X-E(X))'(X-E(X)}. True or false,…

A: We know that, X' is a vector and Covariance of a vector X is equal to the variance of X.  Which…

Q: A certain club consists of 5 men and 6 women. How many ways are there to form a committee…

A: A certain club consists of 5 men and 6 women.

Q: Let X be a discrete random variable with probability function 2 f(x) = P(X= z) = for z=1,2,3,... 3…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: I was given this as the correct answer instead:   C(8,4) + C(9,4). Or 70+126= 196

A: Clearly mentioned : None of husband's friends will attend a party that is attended by any of his…

Q: Probability and Statistics – Consider a game of chance using 5 dice. (Recall that a die has 6-sides,…

A: Given information: Number of dice used = 5 Number of times five dice are rolled = 10

Q: (a) Determine the value z such that Pr(Z > z) = 0.05. (b) Calculate the z-value corresponding to X =…

A: It is given that  Mean, μ = 65 Standard deviation, σ = 20     Note: According to Bartleby expert…

Q: Empirical Results With Replacement 1. L 2. L 4. GR 7. o 10. R 13. GR 16. O 19. L 22. GR 5. B 8. GR…

A: Solution: The data for the with replacement and without replacement is given.

Q: From a standard​ 52-card deck, how many 2​-card hands consist entirely of red ​cards?

A: Given that  Total cards = 52 Red cards = 26 Black cards = 26

Q: i) Let X be a random variable that is approximately normal. Assume the population standard deviation…

A: i)Givenstandard deviation(σ)=11.6confidence interval=95%Margin of error(E)=2

Q: Possession of a third breast is a rare recessive disorder.  A man who has a third breast marries a…

A:

Q: how many 4 digit numbers can be formed from 3 2 7 6 0 4 9 if the number is greater then 4000 and…

A: Given digits is3,2,7,6,0,4,9Total no.of digits = 7

Q: Let A, B and C be independent events. Show that: P(A ∪ B|C) = P(A|C)P(B|C) When this condition…

A: It seems that the problem is incorrect. It should be P(A ∩ B|C) = P(A|C)P(B|C) instead of P(A ∪ B|C)…

Q: According to the United Healthcare, a visit to a hospital emergency room has a mean cost of $2,200.…

A: Given that the mean and standard deviation of the normal distribution are  Mu = 2200 and standard…

Q: Suppose that a password is exactly six characters and each character is 1 of the 26 lowercase…

A: The number of lowercase letters is 26 and the number of integers is 10.

Q: An interest rate of 15% is used to evaluate a new system that has a first cost of $212,400, annual…

A:

Q: (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 186. Use…

A: Formula: Regression line is                 Y = a + b X

Q: Find the area of the shaded region the graph to pick standard normal distribution of bone density…

A: The z score is used to obtain the area corresponds to the probability value. It is calculated by…

Q: 19. The populations of two countries are given for January 1, 2000, and for January 1, 2010. a.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: f(x, y) = 2 xy² 30 x = 1, 2, 3; y = 1, 2 Determine the marginal distributions of X and Y, and then…

A: It is given that the joint pmf f(x,y) for the discrete random variables X and Y is f(x,y) = xy2/30,…

Q: There are 210 grade 12 students enrolled for se quidance department to determine the number 8…

A:

Q: 5. Suppose Y has c.d.f. F(t) = 0, 1/6, 3/6, 1, for t < -1; for -1 < t < 2; for 2 ≤ t < 22; for t≥…

A: From the given information, The cdf of Y is,

Q: Before items from a production line are distributed, a manufacturing organization employs an…

A: Introduction: Denote X as the number of defects discovered in a box, when 3 goods from the box of 20…

Q: Using the Binomial distribution,  If n=6, and p=0.6, find P(x=5)

A: Given that  n = 6 , p = 0.6 , q = 1 - p = 1 - 0.6 = 0.4 X ~ Binomial (n = 6 , p = 0.6) Note : nCr =…

Q: 1.A company trying to decide which 3 colors to include in a promotional mini box of 3 crayons. They…

A: 1) Combination Rule: There are n different items and r number of selections, the selections are made…

Q: SSE = Syy-₁Sxy = 9.865562 0.0928(46.755) Recall SST 9.865562. It follows that r2, rounded to three…

A: Solution: Given information: Syy=9.865562β1^=0.0928Sxy=46.755

Q: 10. Suppose we have a picker at the front of an aisle of length 20 meters. The picker walks at a…

A: Given f(t)=c 0&lt;t&lt;20

Q: ANOVA test, a table is helpful to organize values in calculation of the test statistic and…

A: Given K=4

Q: If an event “A” has probability 0.40 of occurring, what is the probability of the complement of…

A: Given information- We have given the probability of occurrence of event A. P(A) = 0.40 We have to…

Q: What is the equilibrium market share? L0.4 0.3 0.

A:

Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

A: A B C D total order accurate 317 272 246 136 971 order not accurate 30 57 35 12 134 total…