The table shows the results of a survey in which 146 families were asked if they

Question

The table 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. One person was selected randomly. Summer Vacation This Year Yes 46 No Total 57 89 146 Own a Computer Yes No Total 34 101 45 a) Find the probability that a randomly selected family is not taking a summer vacation this year b) Find the probability that a randomly selected family owns a computer Find the probability a randomly selected family is taking a summer vacation this year given that they own a computer e) d) Find the probability a randomly selected family is taking a summer vacation this year and owns a computer Are the events of owning a computer and taking a summer vacation this year independent or dependent events? Clearly explain your reasoning using a complete sentence and one of these phrases: equally likely, more likely or less likely. e)

Explanation / Answer

a)P(not taking a summer vacation)=45/146

b)

P(owns a computer)=57/146

c)

P(summer vacation|owns a computer)

=P(summer vcation and owns a computer)/P(owns a computer)=46/57

d)P(summer vcation and owns a computer) =46/146

e)

here as P(summer vacation|owns a computer) =46/57=0.807

whcih is not equally likely to P(summer vacation)=101/146=0.692 ; therefore events of owning a computer and taking a summer vcation are not independent.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.