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    Probability of Occurrence

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    Problem 1
    Use four decimal places in your answers for this problem.
    Eighteen (18) people in a department of 162 are fully trained in CPR and AED. A person shows signs of a heart attack. Five (5) people respond. What is the probability that NO (0) person who responded is trained to treat the victim? (Show all of your calculations)

    Problem 2
    Use three decimal places in your answers for this problem.
    An airline company claims their arrivals are on time within an average of +/- 5 minutes and a standard deviation of 2.82 minutes; Normally Distributed. You sample 50 arrivals and find an average of 6.3 minutes late. Can you be at least 90% sure that the airline company's claim is correct? (Show all of your calculations)

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    Solution Preview

    Problem 1
    Here we know that P(Trained) = 18/162=0.1111
    So p=0.1111 q=1-0.1111=0.8889
    This is binomial distribution we need to calculate P(r=0, n=5) = 5C0*p^0*q^5
    =1*0.1111^0*0.8889^5
    =0.554963641 or 0.5550

    Problem 2
    Use three decimal places in your answers for this problem. ...

    Solution Summary

    This Solution contains calculations to aid you in understanding the Solution to these questions.

    $2.19

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