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

=

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

answer:

your answer is: c. 196 7/8 in^3.