Exam 14: Probability Rules

A high school offers these statistics: 23% of incoming students come from single-parent homes. 77% of incoming students come from two parent homes. 46% of incoming students from single parent homes eventually go on to get a college education. 56% of incoming students from two parent homes eventually go on to get a college education. What percent of incoming students eventually go on to get a college education?

In one town in British Columbia,only 27% of days are sunny.A company's records indicate that on sunny days 2.2% of employees will call in sick.When it is not sunny,1.2% of employees will call in sick.What percent of calls (where an employee calls in sick)occur on sunny days?

Opinion-polling organizations sometimes contact their respondents by sampling random telephone numbers.Assume that interviewers can now reach about 77% of Canadian households,while the percentage of those contacted who agree to cooperate with the survey is 32%.Each household,of course,is independent of the others.What is the probability that the next household on the list will be contacted but will refuse to cooperate?

An online poll asked people how likely they were to see a new movie that was coming out in the summer.There were 1246 responses.Here's how they responded: Let's call someone who responded that they would definitely or probably see it a "likely viewer" and the other two categories,"unlikely viewer." If we select two people at random from this sample of 1246 people,what is the probability that both are likely viewers?

A company manufacturing electronic components for home entertainment systems buys electrical connectors from three suppliers.It buys 23% of the connectors from supplier A,31% from supplier B,and 46% from supplier C.It finds that 1% of the connectors from supplier A are defective,2% of the connectors from supplier B are defective,and 3% of the connectors from supplier C are defective.If a customer buys one of these components and finds that the connector is defective,what is the probability that it came from supplier B?

Shameel has a flight to catch on Monday morning.His father will give him a ride to the airport.If it rains,the traffic will be bad and the probability that he will miss his flight is 0.06.If it doesn't rain,the probability that he will miss his flight is 0.01.The probability that it will rain on Monday is 0.29.What is the probability that Shameel misses his flight?

In one town in British Columbia,only 24% of days are sunny.A company's records indicate that on sunny days 1.8% of employees will call in sick.When it is not sunny,0.9% of employees will call in sick.What percent of employees call in sick on a randomly selected day?

A manufacturing process has a 74% yield,meaning that 74% of the products are acceptable and 26% are defective.If three of the products are randomly selected,find the probability that all of them are acceptable.

At Sally's Hair Salon there are three hair stylists.28% of the hair cuts are done by Chris,30% are done by Karine,and 42% are done by Amy.Chris finds that when he does hair cuts,4% of the customers are not satisfied.Karine finds that when she does hair cuts,3% of the customers are not satisfied.Amy finds that when she does hair cuts,5% of the customers are not satisfied.What percentage of unhappy customers had their hair cut by Amy?

University students were given three choices of pizza toppings and asked to choose one favorite.They were also asked what year of their program they were in.The following table shows the results. If a student responded "meat",what is the probability that they are in the third year of their program?

A group of volunteers for a clinical trial consists of 81 women and 83 men.19 of the women and 21 of the men have high blood pressure.If one of the volunteers is selected at random find the probability that the person has high blood pressure given that it is a woman.

The table below describes the smoking habits of a group of asthma sufferers. What is the probability that a light smoker is a woman?

You roll a fair die four times.What is the probability that the numbers you roll are not all 6's?

The table below describes the smoking habits of a group of asthma sufferers. What is the probability that a woman is a nonsmoker?

In filling out a ballot for your local M.P. ,the events of voting for the Conservative candidate and voting for the Liberal candidate.

The date is March 8,and there are 104 people in a room.What is the probability that at least one of them has a birthday today?

A Canada Revenue auditor randomly selects 3 tax returns from 55 returns of which 14 contain errors.What is the probability that she selects none of those containing errors?

You are dealt a hand of three cards,one at a time.Find the probability that your third card is your first ace.

According to a survey conducted by an environmental organization,the probability that an eligible voter cares about environmental issues is 0.58,the probability that an eligible voter voted in the last election is 0.41 and the probability that an eligible voter both voted in the last election and cares about environmental issues is 0.27.Are caring about environmental issues and voting in the last election independent events?

The table shows the careers of a group of retired people and their ages at retirement. What is the probably that a person who was an attorney retired between the ages of 50 and 55?