Two Way Frequency Data Table Determine If Events Are Independent

The two-way frequency table gives data about 200 randomly selected apartments in a city. Use the table to answer the question. Find the probability that they live in a one bedroom given that they are a single occupant. Also indicate whether or not the events are independent.

• 71%, independent

• 84%, independent

• 71%, dependent

• 84%, dependent

What is the probability that a female is chose given they like a Toyota? 

• .525

• .4627

• .6774

• .3143

Given events A and B, such that P(A)=0.4, P(B)=0.2 and P(A∩B)=0.08 determine whether A and B are independent or dependent.

• Independent

• Dependent

A student wants to know if right-handed people are more or less likely to play a musical instrument than left-handed people. The study collects data from 250 people, as shown in the two-way table. What is the probability that a person is right handed given then play a musical instrument? Are these independent or dependent events?

• .88, dependent

• .18, dependent

• .88, independent

• .18, independent

The set of data in the table below shows the results of a survey on the number of messages that people of different ages text on their cell phones each month. If a person from this survey is selected at random, what is the probability that the person texts 11-50 messages per month given that the person is between the ages of 19 and 22? (Hint: Find totals first!)

Sean's team has a baseball game tomorrow. He pitches 50% of the games. There is a 40% chance of rain during the game tomorrow. If the probability that it rains given that Sean pitches is 40%, it can be concluded that these two events are

• Dependent

• Independent

• Mutually Exclusive

• Complements

A student wants to know if right-handed people are more or less likely to play a musical instrument than left-handed people. The student collects data from 250 people, as shown in the two-way frequency table. Determine whether being right-handed and playing a musical instrument are independent events.

A survey was taken of juniors at a local high school, and the results were displayed in a two-way table. Which of the following statements is true?

• P(NL|NB)= P(NB|NL)

• 2∙P(NL|NB) = P(NB|NL)

• 3∙P(NL|NB) = P(NB|NL)

• 4∙P(NL|NB) = P(NB|NL)

The table shows the distribution of students who have a job and a drivers license. Find the probability that a student selected at random does not have a drivers license given they have a job. Express your answer as a fraction in simplest form.

What percent of people who attended the basketball game also attended the school play?

• 38%

• 47%

• 25%

• 54%