Asign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 8 cars needs to have oil added. if this is true, what is the probability of each of the following:

a) exactly three out of the next eight cars needs oil. probability =
b) at least three out of the next eight cars needs oil. probability =
c) at most 6 out of the next 8 cars needs oil. probability =

0.0561,0.0673,0.999997

Step-by-step explanation:

Given that a sign on  the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 8 cars needs to have oil added.

X- no of cars that need oil in a sample of 8 cars is binomial with p = 1/8

since each car is independent of the other and there are only two outcomes.

a) Exactly three out of the next eight cars needs oil.

Probability =

b) At least three out of the next eight cars needs oil.

Probability =

c) At most 6 out of the next 8 cars needs oil.

Probability =

step-by-step explanation:

f(gx)=f(1/x+2)

=(1/x+2)+2

=(1+2x)/2+2

=(1+2x+4)/2

= (2x+5)/2