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8 September, 06:42

2.63 According to Consumer Digest (July/August 1996), the probable location of personal computers (PC) in the home is as follows: Adult bedroom: 0.03 Child bedroom: 0.15 Other bedroom: 0.14 Office or den: 0.40 Other rooms: 0.28 (a) What is the probability that a PC is in a bedroom? (b) What is the probability that it is not in a bedroom? (c) Suppose a household is selected at random from households with a PC; in what room would you expect to find a PC?

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  1. 8 September, 07:57
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    a) 0.32

    b) 0.68

    c) office or den

    Step-by-step explanation:

    Locations Probabilities

    Adult bedroom 0.03

    Child bedroom 0.15

    Other bedroom 0.14

    Office or den 0.40

    Other rooms 0.28

    a)

    P (PC in bedroom) = P (PC in adult bedroom) + P (PC in child bedroom) + P (PC in other bedroom)

    P (PC in bedroom) = 0.03+0.15 + 0.14

    P (PC in bedroom) = 0.32.

    Thus, the probability that a PC is in a bedroom is 0.32.

    b)

    P (PC is not in bedroom) = P (PC in Office or den) + P (PC in Other rooms)

    P (PC is not in bedroom) = 0.40+0.28

    P (PC is not in bedroom) = 0.68.

    Thus, the probability that a PC is not in a bedroom is 0.68.

    c)

    When a household is selected at random from households with a PC we would expect to find a PC in a room which has a greater probability of having PC.

    The greater probability of room having a PC is of Office or den room with probability 0.40. So, when a household is selected at random from households with a PC we would expect to find a PC in a Office or den room.
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