Answered: Consider a random variable with the…

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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A random variable X has the following distribution: X P(X=x) -1 .3 0 1 .5 2 Let Y=X². Find the expected value of random variable Y. 0.38 0.6 5 4 O-1
Consider the table below gives the probabilities of the distribution of random variable X. Value of X P(X=x) (denoted by x) f(x) 0 1 2 3 4 567 00 8 0.14 b C 0.10 0.13 0.13 d 0.02 0.01 In reference to the table, suppose that b = f(1) =0.2 and c = f(2)= 0.06. What is the probability P(X ≥ 4) equal to?
The annual premium for a $20,000 insurance policy against the theft of a painting is $350. If the (empirical) probability that the painting will be stolen during the year is 0.02, what is your expected return from the insurance company if you take out this insurance? Let X be the random variable for the amount of money received from the insurance company in the given year. E(X)= dollars
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Consider the distribution table below x 5 10 15 20 P ( X = x ) 0.5 0.2 0.2 0.2 Then Answer options: The standard deviation of X is 5.025 The variance of X is 25.25 The expected value of X is 11.5 None of the choices, the table cannot be a probability distribution table.
Calculate xpectation and variance of X, if the probability distribution of the random variable X is given by X 1 0.3 f - 0 0.1 1 0.1 2 3 0.3 0.2 shodm
The annual premium for a $15,000 insurance policy against the theft of a painting is $200. If the (empirical) probability that the painting will be stolen during the year is 0.01, what is your expected return from the insurance company if you take out this insurance? ..... Let X be the random variable for the amount of money received from the insurance company in the given year. E(X) = dollars %3D
When conducting research on allergic reactions to a new drug, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who develop an allergic reaction. x P(x) 0 0.665 1 0.278 2 0.052 3 0.004 4 0.001 5 0.000 a. Find its mean and standard deviation. (Round to one decimal place as needed) b. What is the probability of at least 3 males developing an allergic reaction? (Round to three decimal places as needed)
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Two six-sided dice are rolled and the random variable x is the sum of the values produced by each die. a. List the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x. b. Calculate the variance of x. c. Calculate the standard deviation of x. a. List the possible outcomes for the variable x. Choose the correct answer below. O A. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 О В. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ОС. 1,2, 3, 4, 5, 6 O D. 3, 4, 5, 6, 7, 8, 9, 10, 11 Determine the probability for each outcome. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or fractions.) O A. P(1) =. P(2) = P(3) = P(4) = P(5) = P(6) = О В. Р/2)- P(3) = , P(4) = , P(5) = P(6) = P(7) = P(8) = P(9) = , P(10)= P(11) = P(12) = %3D O C. P(3) = P(4) = , P(5) = , P(6) = ,P(7) = P(8) = P(9) = P(10) = P(11) = O D. P(1)= , P(2) = , P(3) = P(4) = , P(5) = P(6) = P(7) = P(8) = P(9) = P(10) = P(11) = P(12)…
please answer a,b
Find the expected value of X

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Consider a random variable with the following probability distribution: X P(X) 0 0.25 1 0.5 2 0.25 What is the expected value (mean) of X?