Exam 8: Probability

Find the expected value. -Suppose that 1,000 tickets are sold for a raffle that has the following prizes: one $300 prize,two $100 prizes,and one hundred $1 prizes.What is expected value of a ticket?

List the outcomes of the sample space. -A 6-sided die is rolled.The sides contain the numbers 1,2,3,4,5,6.List the sample space of rolling one die.

Find the probability. -The table lists the eight possible blood types.Also given is the percent of the U.S.population having that type. ِ Let E be the event that a randomly selected person in the U.S.has type B blood.Let F be the event that a randomly selected person in the U.S.has RH-positive blood. Find P(F|E).

Solve the problem. -Of the coffee makers sold in an appliance store,4.0% have either a faulty switch or a defective cord,2.5% have a faulty switch,and 0.1% have both defects.What is the probability that a coffee maker will have a defective cord? Express the answer as a percentage.

Find the probability. -The table below describes the smoking habits of a group of asthma sufferers. If one of the 1124 people is randomly selected,find the probability that the person is a man or a heavy smoker.

Estimate the indicated probability. -College students were given three choices of pizza toppings and asked to choose one favorite.The following table shows the results. A randomly selected student prefers a cheese topping.

Provide an appropriate response. -The probability distribution for the random variable X is: What is the expected value of X?

Find the indicated probability. -In a homicide case 3 different witnesses picked the same man from a line up.The line up contained 5 men.If the identifications were made by random guesses,find the probability that all 3 witnesses would pick the same Person.

From a survey involving 2,000 students at a large university,it was found that 1,300 students had classes on Monday,Wednesday,and Friday; 1,500 students had classes on Tuesday and Thursday; and 800 students had classes every day.If a student at this university is selected at random,what is the (empirical)probability that the student has classes only on Tuesday and Thursday?

Use Bayes' rule to find the indicated probability. -The incidence of a certain disease on the island of Tukow is 4%.A new test has been developed to diagnose the disease.Using this test,91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive).If a person tests positive,what is the probability that he or she actually has the disease?

Find the probability. -The table lists the eight possible blood types.Also given is the percent of the U.S.population having that type. Let E be the event that a randomly selected person in the U.S.has type B blood.Let F be the event that a randomly selected person in the U.S.has RH-positive blood. Find P(E|F).

There are 3 balls in a hat; one with the number 2 on it,one with the number 6 on it,and one with the number 8 on it.You pick a ball from the hat at random and then you flip a coin.Using a tree diagram ,obtain the sample space for the experiment.List the elements that make up the sample space.

Solve the problem. -At the Stop 'n Go tune-up and brake shop,the manager has found that an SUV will require a tune-up with a probability of 0.6,a brake job with a probability of 0.1 and both with a probability of 0.02.What is the probability that an SUV requires neither type of repair?

Find the probability. -A sample of 4 different calculators is randomly selected from a group containing 10 that are defective and 28 that have no defects.What is the probability that at least one of the calculators is defective?

Find the odds. -The probability of a person getting a job interview is 0.54.What are the odds against getting the interview?

In a survey of the number of DVDs in a house, the table shows the probabilities. -Find the probability of a house having 3 or more DVDs.

Find the odds. -If two fair dice are thrown,what are the odds of obtaining a sum of 7?

Find the probability. -At the Stop 'n Go tune-up and brake shop,the manager has found that an SUV will require a tune-up with a probability of 0.6,a brake job with a probability of 0.1 and both with a probability of 0.02.What is the Probability that an SUV requires either a tune-up or a brake job?

Find the expected value. -A fair coin is tossed three times,and a player wins $3 if 3 tails occur,wins $2 if 2 tails occur and loses $3 if no tails occur.If one tail occurs,no one wins.What is the expected value of the games?

Solve the problem. -The distribution of bachelor degrees conferred by a local college is listed below,by major. What is the probability that a randomly selected degree is not in Mathematics?