day7.probablityreview.17.notebook 1 April 27, 2017

day7.probablityreview.17.notebook
April 27, 2017
1.
1
day7.probablityreview.17.notebook
April 27, 2017
3.
c) Are the events ">65" and "NO" voter independent of each other?
4.
2
day7.probablityreview.17.notebook
April 27, 2017
5. Given events A and B, such that P(A) =.8, P(B)=.5, and P(AUB)=.9, determine whether A and B are independent or dependent.
3
day7.probablityreview.17.notebook
April 27, 2017
7. 48.6% of the North Dakota population over 18 years old is female. 65.9% of the total population of North Dakota over 18 years old has enrolled in college at some point in their lives. If these two events are independent of each other, what is the probability that a randomly selected adult in North Dakota will be female who has enrolled in college, to the nearest percent.
1) 32%
2) 49%
3) 33%
4) 66%
8. A survey was taken of student's gender and their preference for basketball, soccer, or track. 5 girls preferred track, 4 boys preferred track, 6 boys preferred basketball, and 15 girls preferred soccer. 25 students preferred soccer and a total of 50 students participated in the survey. Male
Basketball Soccer
6
Female
Totals
Track
Total
20
15
16
a) What is the probability that a student preferred basketball given the student was a female?
b) Are being "female" and "preferring soccer" independent events?
4
day7.probablityreview.17.notebook
April 27, 2017
9)
a) Determine if randomly selecting a junior and randomly
selecting a student who chose Madrid are independent.
b) Find the probability that a randomly selected student
who is a senior did not select Madrid. Is this conditional
probability.
10) The probability of a warm day is 60%, of a sunny
day is 40%. The probability of a warm or sunny day is
20%. What is the probability of a sunny and warm
day?
Are the events of being sunny and warm dependent?
Justify your answer.
5