The table below shows the results of a survey in which 146 f

The table below shows the results of a survey in which 146 families were asked if they own a computer and if they will be taking a summer vacation this year. Summer Vacation This Year D Yes No Total Own Yes 47 11 58 a No 55 33 88 Computer Total 102 44 146 (a) Find the probability that a randomly selected family is not taking a summer vacation this year. The probability is .301 . (Round to the nearest thousandth as needed.) (b) Find the probability that a randomly selected family owns a computer. The probability is .397 . (Round to the nearest thousandth as needed.) (c) Find the probability a randomly selected family is taking a summer vacation this year given that they own a computer. The probability is [.(Round to the nearest thousandth as needed.)

Solution

(c) P(summer vacation|own a computer)

=P(summer vacation and own a computer) / P(own a computer)

=47/58

=0.810