#81 Verizon LTE 8:44 PM webwork.syr.edu Ch5 Sec3: Problem 1 Previous Problem Lis

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#81 Verizon LTE 8:44 PM webwork.syr.edu Ch5 Sec3: Problem 1 Previous Problem List Next (1 point A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 4 cars needs to have oil added. If this is true (and assuming cars arriving independently), find the probability of each of the following: A. One out of the next four cars needs oil. Probability B. Two out of the next eight cars needs oil. Probability C. 5 out of the next 20 cars needs oil. Probability Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times.

Explanation / Answer

Solution : use the binomial distribution formula,with p = 1/4,q = 3/4
  
P[x] = nCx*p^x*q^(n-x)

A.4C1*(1/4)^1*(3/4)^3 = 0.4219

B.8C2*(1/4)^2*(3/4)^6 = 0.3115

C.20C5*(1/4)^5*(3/4)^15 = 0.2023

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