A study conducted by a local tennis center revealed that 25

A study conducted by a local tennis center revealed that 25 percent of its new members have novice level tennis skills. A membership drive in a metropolitan area resulted in 500 new members. What is the probability that 150 or more of the new members are novice tennis players? What is the probability that 110 or less of the new members are novice tennis players?

Solution

n=500
p=0.25

=np=125

=npq=9.68

z=x-/

P(110<X<130)=P(110-125/9.68<Z<130-125/9.68)=P(-1.55<Z<0.52)=0.6985-(1-0.9394)=0.6379