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. (a) Find the probability that a randomly selected family is not taking a summer vacation this year. The probability is []. (Round to the nearest thousandth as needed.) (b) Find the probability that a randomly selected family owns a computer. The probability is []. (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.) (d) Find the probability a randomly selected family is taking a summer vacation this year and owns a computer The probability is []. (Round to the nearest thousandth as needed.) (e) Are the events of owning a computer and taking a summer vacation this year independent or dependent events? Independent Dependent

Solution

(a)

No. of families not taking a vacation = 45

Total no. of families = 147

So probability = 45/147 = 0.306

(b) No. of families who own a computer = 57

Total no. of families = 147

So probability = 57/147 = 0.388

(c) No. of families who own a computer = 57

Out of these, no. of families going for vacation = 46

So, probability = 46/57 = 0.807

(d) No. of families taking vacation and owning a computer = 46

Total no. of families = 147

So probability = 46/147 = 0.313

(e) Independent