Acertain tennis player makes a successful first serve 64% of the time. assume that each serve is independent of the others. if she serves 9 times, what's the probability she gets
a) all 9 serves in?
b) exactly 6 serves in?
c) at least 7 serves in?
d) no more than 6 serves in?

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?

=

b) exactly 6 serves in?

P(x=6)

=

c) at least 7 serves in

=

d) no more than 6 serves in

=

choice b

step-by-step explanation:

f(x) = 88x^2 -264x + 300

the line of symmetry of a parabola is defined by

h = -b/2a

where ax^2 +bx+c=0

so

h = - -264/ (2*88)

h = 3/2

so x = 1.5