SOLUTION: 7% of the customers did not receive delivery If a sample of 50 customers is selected on a given day, assuming that the trials are independent of each other with one outcome, wh

Question 909190: 7% of the customers did not receive delivery
If a sample of 50 customers is selected on a given day, assuming that the trials are independent of each other with one outcome, what is the probability that.
a. fewer than 3 customers would receive a free newspaper?
b. 2, 3, or 4 customers would receive a free newspaper?
c. more than 5 customers would receive a free newspaper?
I believe n=50 P=.07 and X=3 for part A
I have tried this problem multiple times using the Binomial probability formula, but all my answers seem incorrect.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
X~binomial(n=50, p=.07)
A) P[X<3] = P[X<=2] = P[X=0] + P[X=1] + P[X=2] = (50 choose 0)(.07)^0(.93)^50 + (50 choose 1)(.07)^1(.93)^49 + (50 choose 2)(.07)^2(.93)^48 = .3108
B) P[X=2] + P[X=3] + P[X=4] = (50 choose 2)(.07)^2(.93)^48 + (50 choose 3)(.07)^3(.93)^47 + (50 choose 4)(.07)^4(.93)^46 = .6025
C) P[X>5] = 1-P[X<=5] (using the complement).
1-(P[X=0] + P[X=1] + (P[X=2] + P[X=3] + P[X=4])+ P[X=5])
1-(P[X=0] + P[X=1] + B + P[X=5]) where B is the answer from part B.
1-((50 choose 0)(.07)^0(.93)^50 + (50 choose 1)(.07)^1(.93)^49 + .6025 + (50 choose 5)(.07)^5(.93)^45) = .1351
Hope this helps!
Devin [swincher4391@yahoo.com]

RELATED QUESTIONS
If a sample of 50 customers is selected on a given day, assuming that the trials are... (answered by swincher4391)

A local dairy is considering the possibility of ceasing home deliveries in an effort to... (answered by stanbon)

Scarlett and Heather, the owners of an upscale restaurant in Dayton, Ohio, want to study... (answered by Theo)

The statistics-conscious store manager at Marketview records the number of customers who... (answered by stanbon)

From a group of 18 customers,6 are to be chosen to receive a special gift. Assuming that... (answered by edjones)

A manager gives a store evaluation form to each customer. Customers who mail in their... (answered by stanbon)

Based on past experience, 45% of all customers at Cooper’s Automotive Store pay for... (answered by ewatrrr)

Sally's has a business that was open for 4 days. The number of customers on each day... (answered by stanbon)

It is known that 10% of the customers in an electronics store purchase an MP3 player. A... (answered by Okamiden)