Sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 6 cars needs to have oil added?

A. One out of the next four cars needs oil.

Probability = 

B. Two out of the next eight cars needs oil.

Probability = 

C. 10 out of the next 40 cars needs oil.

Probability = 

1 Answer

Relevance
  • 3 weeks ago

    Use the binomial probability formula.

    P(X = k) = C(n,k) * p^k * q^(n-k)

    n : number of trials (4)

    k : number of successes (1)

    p : probability of success (1/6)

    q : probability of failure (1 - p = 5/6)

    P(X = 1) = C(4,1) * (1/6)^1 * (5/6)^3

    = 4 * 125/1296

    = 500/1296

    = 125/324 (or ~38.6%)

    P.S. C(n,k) is the "n choose k" formula

    C(n,k) = n! / (k! (n-k)!)

    Now you should have all the information needed to solve B and C.

Still have questions? Get answers by asking now.