the table below shows the results of a survey in which 146 families were asked i

Question

the table below shows the results of a survey in which 146 families were asked if they owned a computer and if the were going to take a vacation this year


Vacation Yes Vacation No Vacation Total
Computer Yes 47 10 57
Computer No 55 34 89
Computer Total 102 44 146



a.) find probability that a randomly selected family is not taking a summer vacation this yr. (round to nearest thousandth)
b.) find the probability that a randomly selected family owns a computer
c.) find the probability that a randomly selected family is taking a summer vacation this yr given that they own a computer.
d.) find the probability that a randomly selected family is taking a vacation this year and owns a computer.
e.) are the events of owning a computer and taking a summer vacation this year independent or dependent events?

Explanation / Answer

a. Vacation no is the total of the vacation no column: 44

b. Total of computer yes: 57

c. 47/57

d. 47/57

e. Yes, because the probabilities in c and d are the same.

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