Solve and find the distribution and expected value of X Samples to use for Question 1010. Suppose a box contains 10 marbles: 4 blue and 6 red. You randomly draw two marbles withoutreplacement: if you draw two blue marbles, you win $10: if you draw two red marbles, you win$5. Otherwise, you win nothing. Let X denote your winnings. Find the distribution and theexpected value of X.on

Suppose a box contains 10 marbles: 4 blue and 6 red. You randomly draw two marbles without…

Answered: 10. Suppose a box contains 10 marbles:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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t- distribution is a probability distribution used to estimate parameters EXCEPT when: a. The population standard deviation is known b. The sample size is small c. The population variance is unknown d. The sample size is small and population variance is unknown
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. + Part (a) O Part (b) Part (c) Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Write the probability statement. P(X > x) = |0.98
X P(x) 0 0.15 1 1 0.25 2 0.2 3 0.4 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places Submit Question acer
statistic
Using the Central Limit Theorem. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 1.2 kg and a standard deviation of 4.9 kg (based on Data Set 13 "Freshman 15" in Appendix B). If 1 male college student is randomly selected, find the probability that he gains between 0.5 kg and 2.5 kg during freshman year.
Weights (X) of men in a certain age group have a normal distribution with mean ? = 170 pounds and standard deviation ? = 28 pounds. Find each of the following probabilities. (Round all answers to four decimal places.) (a) P(X ≤ 191) = probability the weight of a randomly selected man is less than or equal to 191 pounds. (b) P(X ≤ 156) = probability the weight of a randomly selected man is less than or equal to 156 pounds. (c) P(X > 156) = probability the weight of a randomly selected man is more than 156 pounds
Random variable has a normal distribution w/ mean = 25 & variance = 2.25 Determine the following probabilities: • P (20 < X < 28) • P (X < 27)
The random variable X has a pdf f(x) = 5x 0≤x≤ 0.6325. What is the median of X 0.316 0.333 0.350 0.500 0.447 No answer
Expected shortfall (ES) is the expected loss conditional on the loss being less than the value at risk (VaR) level. Select one: True False
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inheri: the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements P(x) 0.034 1 0.165 0.301 3 0.301 that are not satisfied. 4 0.165 0.034 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, not every probability is between 0 and 1 inclusive. O C. No, the random variable x's number values are not associated with probabilities. O D. No, the sum of all the probabilities is not equal to 1. O E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. H=2.5…

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10. Suppose a box contains 10 marbles: 4 blue and 6 red. You randomly draw two marbles without replacement: if you draw two blue marbles, you win $10: if you draw two red marbles, you win 85. Otherwise, you win nothing. Let X denote your winnings. Find the distribution and the expected value of X.