Question

David’s gasoline station offers 21 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 30% of all customers pay in cash. During a one-hour period, 15 customers buy gasoline at this station. What is the probability that at least 10 pay in cash

Answers

  1. 0.0931  is the probability that at least 10 pay in cash.
    What is a probability simple definition?
    The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
    Using binomial distribution with n= 15, and p = 0.40,
    P(8<X<12) = P(X=9)+P(X=10) + P(X=11)
                     = 0.0612+0.0245+0.0074
                      = 0.0931
    Therefore,0.0931  is the probability that at least 10 pay in cash.
    Learn more about probability
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