Home /
Expert Answers /
Statistics and Probability /
a-principal-of-an-elementary-school-knows-that-there-is-a-4-chance-that-a-student-will-forget-his-pa904

A principal of an elementary school knows that there is a

`4%`

chance that a student will forget his or her jacket on any given day. There are 400 students in the elementary school. (a) Determine whether the following statement is true or false. This scenario describes a binomial random variable, and its probability can be approximated by the normal distribution. True False (b) What are the mean and standard deviation of this distribution of the number of students who forget their jacket? (Round your standard deviation to four decimal places.) mean standard deviation Find the

`z`

-score and look it up in the table of values.

`z=(x-\mu )/(\sigma )`