A tennis player makes a successful first serve 70% of the time.If she serves 80 times,is it appropriate to use a normal model to approximate the distribution of the number of good first serves? Assume that each serve is independent of the others.
A)No;normal model cannot be used to approximate the distribution because nq

Question

A tennis player makes a successful first serve 70% of the time.If she serves 80 times,is it appropriate to use a normal model to approximate the distribution of the number of good first serves? Assume that each serve is independent of the others.
A)No;normal model cannot be used to approximate the distribution because nq < 10
B)Yes;normal model with μ = 56 and σ = 16.80 can be used to approximate the distribution
C)Yes;normal model with μ = 56 and σ = 4.10 can be used to approximate the distribution
D)Yes;normal model with μ = 24 and σ = 16.80 can be used to approximate the distribution
E)No;normal model cannot be used to approximate the distribution because np < 10

Quizplus · Accepted Answer

The normal approximation can be used because both np = 56 and nq = 24 are greater than 10. The mean μ = np = 56 and the standard deviation σ = √(npq) = 4.10.

A Tennis Player Makes a Successful First Serve 70% of the Time.If