Question

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .56.
a. Find the probability that in a sample of 15 customers, none of the 15 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)
Probability
b. Find the probability that in a sample of 15 customers, at least 4 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)
Probability
c. Find the probability that in a sample of 15 customers, fewer than 5 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)
Probability
d. Find the probability that in a sample of 15 customers, all 15 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)
Probability

Answer 1

this is binomial distribution with parameter n=15 and p=0.56

a)

probability =

P(X=0)=

(nCx)px(1−p)(n-x)    =

0.0000

b)

probability =

P(X>=4)=

1-P(X<=3)=

1-∑x=0x-1     (nCx)px(1−p)(n-x)    =

0.9949

c)\

probability =

P(X<=4)=

∑x=0x     (nCx)px(1−p)(n-x)    =

0.0211

d)

probability =

P(X=15)=

(nCx)px(1−p)(n-x)    =

0.0002