Let X be the random variable defined as the number of bl Question 4 3 pts Exerci

Question

Let X be the random variable defined as the number of bl Question 4 3 pts Exercise 8F11 10.c. Selecting marbles from a bowl is a simple example of a hypergeometric distribution. Consider the following: a bowl contains 10 black marbles and 20 white marbles. Seven are selected at random. Let X be the random variable defined as the number of black marbles in the selection, and let Y be the number of white marbles in the selection. What is E (Y)? Question 5 3 pts Exercise 8F1110.d. Selecting marbles from a bowl is a simple example of a hypergeometric distribution. Consider the following: a bowl contains 10 black marbles and 20 white marbles. Seven are selected at random. Let X be the random variable defined as the number of black marbles in the selection, and let Y be the number of white marbles in the selection. What is V (Y)? 2 pts Question 6

Explanation / Answer

(4)

Parameters given:

Number of black marbles, b = 10

Number of white marbles, w = 20

Number of marbles drawn, n = 7

Using the standard formula for expectation value of hypergeometric random variable, we have:

E[Y] = (w*n)/(b+w)

Putting values we get:

E[Y] = (20*7)/(10+20) = 4.67

Hope this helps !

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