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22 December, 13:47

Orders for a computer are summarized by the optional features that are requested. The proportion of orders with no optional features is 0.40. The proportion of orders with one optional feature is 0.34. The proportion of orders with more than one optional feature is 0.26. (a) What is the probability that an order requests at least one optional feature? Round your answer to two decimal places (e. g. 98.76). (b) What is the probability that an order does not request more than one optional feature? Round your answers to two decimal places (e. g. 98.76).

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  1. 22 December, 13:59
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    a) The probability that an order requests at least one optional feature is 34%+26% = 60%.

    b) The probability that an order does not request more than one optional feature is 40% + 34% = 74%.

    Step-by-step explanation:

    Probability:

    What you want to happen is the desired outcome.

    Everything that can happen iis the total outcomes.

    The probability is the division of the number of possible outcomes by the number of total outcomes.

    In our problem, the probabilities are:

    -40% that no optional features are requested.

    -34% that one optional feature is requested

    -26% that more than one optional feature is requested.

    (a) What is the probability that an order requests at least one optional feature?

    There is a 34% probability that one optional feature is requested and a 26% probability that more than one optional feature is requested.

    So the probability that an order requests at least one optional feature is 34%+26% = 60%.

    (b) What is the probability that an order does not request more than one optional feature?

    There is a 40% probability that no optional features are requested and a 34% probability that one optional feature is requested.

    So the probability that an order does not request more than one optional feature is 40% + 34% = 74%.
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