Question

This exercise assumes familiarity with counting arguments and probability. Kent's Tents has nine green knapsacks and seven yellow ones in stock. Curt selects four of them at random. Let X be the number of green knapsacks he selects. Give the probability distribution of X. (Enter your probabilities as fractions.)

x	0	1	2	3	4
P(X = x)

Find the expected number of green knapsacks selected. (Round your answer to one decimal place.)

Answer 1

The probability distribution involves the different possible outcomes or the values that the variable can take and the probabilities of each outcome. The sum of probabilities must be equal to 1. The expected value can take a positive or a negative value based on the values of the random variable.