According to Consumer Digest (July/August 1996), the probable location of personal computers (PC) in the home is as follows: Adu

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According to Consumer Digest (July/August 1996), the probable location of personal computers (PC) in the home is as follows: Adu

lt 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?

Mathematics

1 answer:

PIT_PIT [12.4K] · Answer 1 · 2026-03-05T23:49:35+03:00

Answer:

a) 0.32

b) 0.68

c) Office or den

Step-by-step explanation:

a) The likelihood that a personal computer is located in a bedroom can be calculated by adding the probabilities of it being in an adult bedroom, child bedroom, or another bedroom:

$P(B) =P(adult)+P(child)+P(other)\\P(B) = 0.03+0.15+0.14\\P(B) =0.32$

b) The probability of a PC not being located in a bedroom is found by calculating 100% minus the probability of it being in a bedroom:

$P(Not\ B) = 1- P(B)\\P(Not\ B) =1-0.32\\P(Not\ B) =0.68$

c) The expected location for finding a personal computer in a randomly selected household is derived from the room most likely to contain a PC according to Consumer Digest. The Office or den ranks as the most likely place with a probability of 0.40.

A PC would most likely be found in the Office or den.