Question

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?

Answer 1

Answer:

a) 0.32

b) 0.68

c) Office or den

Step-by-step explanation:

a) The probability that a PC is in a bedroom is the sum of the probabilities of a PC being is an adult bedroom, child bedroom or other bedroom:

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

b) The probability that a PC is not in a bedroom is 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 room to find a PC from a randomly selected household is the room with highest likelihood of having a PC according to Consumer Digest. The Office or den, is the most probable room with a 0.40 chance.

You would expect to find a PC in the Office or den.