Answer:
Probability of throwing a strike by softball pitcher =0.626=Success=S
Probability of not hitting the strike by softball pitcher = 1 - 0.626=0.374=Failure=F
If, x is a random variable, then possible values of strike are
x=0,1,2,3,4,5,6......,13,14,15,16.
If the softball pitcher throws 30 pitches ,probability that no more than 16 of them are strikes
[tex]=_{0}^{C}\textrm{30}S^0F^{30}+_{1}^{C}\textrm{30}S^1F^{29}+_{2}^{C}\textrm{30}S^2F^{28}+_{3}^{C}\textrm{30}S^3F^{27}+.............+_{15}^{C}\textrm{30}S^{15}F^{15}+_{16}^{C}\textrm{30}S^{16}F^{14}[/tex]
= 0.19377, for S=0.626, F=0.374
=0.194(approx)
is the required Probability.
