Answer:
0.0181,0.2693,0.1092,0.4163
Step-by-step explanation:
Given that a certain tennis player makes a successful first serve 64% of the time.
Since each serve is independent of the other
X the no of serves in is Binomial with n = no of times he serves =9
and p = constant probability = 0.64
X is Bin (9,0.64)
Probability that she get in
a) all 9 serves in?
=[tex]P(X=9) = 0.64^9\\=0.0181[/tex]
b) exactly 6 serves in?
P(x=6)
=[tex]9C6 (0.64)^6 (1-0.64)^3\\=0.2693[/tex]
c) at least 7 serves in
=[tex]P(X\geq 7) = 0.1092[/tex]
d) no more than 6 serves in
=[tex]P(X<6)= 0.4163[/tex]
