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Chapter 6: Q.12 (page 354)

Kids and toys Refer to Exercise 4. Calculate the mean of the random variable X and interpret this result in context.

Short Answer

Expert verified

On average there are 2.68 toys that are played with.

Step by step solution

01

Given Information

The probability distribution of the number X of toys played with by a randomly selected subject is as follows:

02

Explanation

The expected value is calculated by multiplying each possibility by its probability:

E(X)=鈭�xP(x)=0脳0.03+1脳0.16+2脳0.30+3脳0.23+4脳0.17+5脳0.11=2.68

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