10. Consider the random variable X whose probability distribution is given below: X Pr(X = x) 1 2 2k 3 4 5k 5k (a) Find the value of k. (b) Find the of 3X + 1. (c) Find the variance of X.

Q: Suppose X, Y are two discrete random variables with probability function given by: Y X -1 1 1/9 1/9…

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Q: If the joint probability distribution of X and Y is given by * f (x, y) x+y for x = 0,1,2,3; y =…

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Q: The joint PDF of two continuous random variables X and y is given: S(x, v) = e,x> 0, y> 0. Let U =…

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Q: A company that produces fine crystal knows from experience that 18% of its goblets have cosmetic…

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Q: how many study groups of 3 girls and 2 boys can be formed?

A: here given class contains 32 girls and 18 boys  here use counting principle

Q: Let X be a random variable with probability distribution as shown below: , 2<x< 10 0, elsewhere f(x)…

A: The E(g(X)) is calculated as E(g(X)) = E(10X + 5) = 10.E(X) + 5

Q: #5: Calculate the chi-square test statistic, p-value, and effect size. Report the following measures…

A: Given Information: Month Frequency Observed Jan 0.0025 0 Feb 0.0075 1 March 0.02 5 April…

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Q: Use technology to find the P-value for the hypothesis test described below. The claim is that for a…

A: Given  Mean = 13  By this we cannot identify that the test is right or left or two tailed  n = 24…

Q: With 10 degrees of freedom What value of X? leaves to its left a value of a = 0.02? None 2.99 3.059…

A: We have given that,  Degree of freedom (df) = 10 and significance level (α) = 0.02 Then,  We will…

Q: I 2 3 If A = | 2 4 .6 verify (54)Y = 5.A". | 2 3

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Q: (a) Suppose that 20 % persons in a large group of people are obese. If persons are checked one by…

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Q: Each person in a group of students was identified by year and asked when he or she preferred taking…

A: We have given that the data into contingency table. Total number of students = 144

Q: Question 2 Suppose that a die is rolled twice. Let X be the minimum value to appear in the two…

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Q: One represents a population distribution. The other two are sampling distributions of x-bar; one for…

A: The Histogram for Population: The population data contains all the information about the…

Q: Find the probability of the following events. A. A number is drawn from the set {1, 2, 3, ..., 20}.…

A: Followings are the explanation of the question A number is drawn from the set {1,2,3,....,20} i.e.…

Q: Errors in estimating population proportions occur because? a. The p bar value is not the same as the…

A: Population proportion: If the proportion is computed for population it is termed as population…

Q: A system for a random amount of time X (in units of months) is given by a density Stxe*² ; x>0,…

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Q: I duration. What is the probability that the duration of a particular rainfall event at this…

A: Given Mean=2.675

Q: If the odds of winning on a scratch-off lottery ticket are 17:2,834, what is the probability of…

A: From the provided information, The odds of winning on a scratch-off lottery ticket are 17:2834

Q: Let X be a random variable with probability density function, What is EX? , What is Var(X)? cx(5 –…

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Q: ) Let {X(t)} be a BM with parameter σ = 2 and X(0) = 0. Find P(T−1 < T2 < T−2).

A: Given that - Let {X(t)} be a BM with parameter σ = 2 and X(0) = 0.

Q: Question * Let X and Y be two continuous random variables with joint probability density function…

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Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that…

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Q: ) In an experiment, a ball is drawn from an urn containing 7 red balls and 8 yellow balls. If the…

A: The following information has been given: The number of red balls =7. The number of yellow balls=8.…

Q: Give the marginal probability of (a) * Y = response time (Nearest second) X = number of Bars of…

A: marginal probability of ( a ) =?

Q: If the probability of a person winning on a scratch-off lottery ticket is 0.016, the odds of winning…

A: Given: P(winning a scratch -off lottery ticket) = 0.016

Q: 10. Consider the random variable X whose probability distribution is given below: X Pr(X =r) 2k 5k…

A:

Q: Q6 The actual volume of seven oil cans labeled as 12 liters are as follows: 11.77, 11.90, 11.64,…

A: We have given that,  The data set are :- 11.77, 11.90, 11.64, 11.84, 12.13, 11.99, 11.77 Then,  We…

Q: spade. 14. A card is drawn from a standard deck of 52 cards. Find the probability that it is a red…

A: 14)GivenTotal no.of cards in a deck = 52No.of red cards in a deck = 26No.of black cards in a deck =…

Q: need the

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Q: In the instant lottery with 30% winning tickets, if X is equal to the number of winning tickets…

A: Given :  Probability of success,p = 0.30

Q: Suppose X, Y are two discrete random variables with probability function given by: Y X-1 1/8 1/8 1/8…

A: Multiplication of marginal probabilities are are compared with joint pmf.

Q: If the probability of a person winning on a scratch-off lottery ticket is 0.375, the odds of winning…

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Q: What is the probability that a student selected randomly either preferred Obama or is an…

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Q: (a) Suppose that 20 % persons in a large group of people are obese. If persons are checked one by…

A: If we have a sequence of trials each having two outcomes, say Success and Failure, trials being…

Q: Let X and Y be two continuous random variables with joint probability density function given by:…

A: Option C is the correct answer.

Q: Give the marginal probability of (d) * Y = response time (Nearest second) X = number of Bars of…

A: Probability The probability of an event specifies the likelihood of its happening. For example, the…

Q: Question * In a health examination survey of a prefecture in Japan, the population was found to have…

A: Z-score formula : Z =(X - μ)/σ

Q: Then the mean number (to the nearest whole number) of students who will finish the exam in less than…

A: The distribution function is defined as F(x) = P(X ≤ x) Let p be the probability that a student…

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Q: The nutrition label for Oriental Spice Sauce states that one package of sauce has 11601160…

A: We have given that,  Sample mean (x̄) = 1037.92, sample standard deviation (s) = 267.98 and sample…

Q: The accompanying summary data on Ceo, particle sizes (nm) under certain experimental conditions was…

A: From the given information, Range Frequency 3.0-&lt;3.5 6 3.5-&lt;4.0 14 4.0-&lt;4.5 28…

Q: ellow balls. If the ball is red, three coins are tossed. Otherwise two coins are tossed. How many…

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Q: Question * Test scores for a given elass are normally distributed with a mean of 80 and standard…

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Q: A USE SALT (a) (c) = 0.9842 2.15 (b) P(0 SZSc) = 0.2939 0.82 (c) P(c s Z) = 0.1190 1.18 (d) P(-c…

A: Given (d) P(- c &lt;= Z &lt;= c) = 0.6476 (e) P(c &lt;= |Z|) = 0.0128

Q: The average time to get your order at a restaurant is 15 minutes. What is probability that you will…

A: here given ,  p(a ≤ X ≤ b) = ∫ab1μ e-x15 dx

Q: Simplify each of the following expression. (8!7!) 5!4! 7. 12! 3!2! 10 8. 4!3! 45! 0. 43!5!

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

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A: Given: Total investment = P10000 Expected selling tickets worth = 500000 P(Rain) = 0.2 P(No rain)= =…

Q: B. Determine the Variance and Standard Deviation of each random variable. Write your answer in your…

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