Question

Refer to the previous Check Your Understanding (page 390 ) about Mrs. Desai's special multiple-choice quiz on binomial distributions. We defined $X=$the number of Patti's correct guesses.

1. Find ${\mu }_{\mathrm{X}}$. Interpret this value in context.

Short answer

The value of mean${\mu }_{\mathrm{X}}$is 2.

Step-by-step solution

Given Information 

Number of questions$=10$

Students are supposed to guess the answers.

$X$is a number of answers that Patti gives correct.

Probability of success$\left(p\right)=0.2$

Explanation 

Compute the mean using binomial distribution is:

$\mu =n\times p$

Calculation:

The mean of $X$can be calculated as,

localid="1649854975780" $$\begin{gathered} {\mu }_X=n\times p \\ =10\times 0.2 \\ =2. \end{gathered}$$