Conditional Probability a random survey was taken to gather information about grade level and car ownership status of students at a school. This table shows the results of the survey. Write your answer as a reduced fraction

A random survey was taken to gather information about grade level and car ownership status of students at a school. This table shows the results of the survey. Write your answer as a reduced fraction.

Find the probability that a randomly selected student will be a junior, given that the student owns a car.

Find the probability that a randomly selected student will own a car, given that the student is a senior.

The table below shows numbers of registered voters by age in the United States in 2004 based on the census. Find each probability in decimal form, 2 places.

Find the probability that a randomly selected person is registered to vote, given that the person is between the ages of 18 and 24.

Find the probability that a randomly selected person is not registered to vote, given that they are 65 and over.

Find the probability that a randomly selected person is between the ages of 45 and 64 and is not registered to vote.

A faculty advisor at Ridge High School surveyed 100 students about their preference for a social event. Of the 100 students surveyed, 50 were tenth graders and 50 were eleventh graders. Of the tenth graders, 30 chose a bowling party and 20 chose a dance. Of the eleventh graders, 20 chose a bowling party and 30 chose a dance.

Make a two way frequency table to represent the data.

Bowling (B)

Dance (D)

10^{th} graders (T)

11^{th} graders (E)

Find P(B). Write your answer as a reduced fraction.

Find P(B|T). Write your answer as a reduced fraction.

Based on your answers on #7 & 8, do you think that the probability of liking bowling is dependent (different answers) on whether a student is in the 10^{th} or 11^{th} grade?

After growing tired of squinting while driving, Dwayne went shopping for a pair of sunglasses. He tried on glasses with different frames and lenses. He tried on 15 pairs of glasses, 8 that were cat eye frames and 7 that were browline frames. 2 of the cat eye frames were polarized lenses. He also tried on 10 regular lenses.

Make a two-way frequency table to represent the data.

Polarized (P)

Regular (R)

Cat Eye (C)

Browline (B)

What is the probability that a randomly selected pair of sunglasses has regular lenses, given that the pair of sunglasses has cat eye frames?