Start Discovering Solved Questions and Your Course Assignments
TextBooks Included
Active Tutors
Asked Questions
Answered Questions
A random sample of 20 doctors is selected, and it is found that only 2 of them recommend the product.
Five percent of the many cars produced at a plant are defective. Ten cars made at the plant are sent to a dealership.
Let X be the number of accounts in the sample that are in error. Is X binomial? If not, what distribution does it have? Explain.
The MIS administrator wants to increase the probability of no crash at all in a semester to at least 90%. What is the largest that will achieve this goal?
A shipment of pins contains 25 good ones and 2 defective ones. At the receiving department, an inspector picks three pins at random and tests them.
A salesperson goes door-to-door in a residential area to demonstrate the use of a new household appliance to potential customers.
An MBA graduate is applying for nine jobs, and believes that she has in each of the nine cases a constant and independent 0.48 probability.
A computer laboratory in a school has 33 computers. Each of the 33 computers has 90% reliability. Allowing for 10% of the computers to be down.
If the probability of landing safely must be at least 99.5%, what is the minimum value for p? Repeat the question for probability of landing safely to be 99.9%.
An investment portfolio has equal proportions invested in five stocks. The expected returns and standard deviations (both in percent per year).
A committee of 7 members is to be formed by selecting members at random from a pool of 14 candidates consisting of 5 women and 9 men.
A student takes the campus shuttle bus to reach the classroom building. The shuttle bus arrives at his stop every 15 minutes but the actual arrival time.
If four days have passed without a breakdown, what is the probability that it will break down on the fifth day?
If the company gives a warranty period of 12 months, what proportion of computers will fail during the warranty period?
Look at the shape of the binomial distribution for various combinations of n and p. Specifically, let n = 5 and try p = 0.2, 0.5, and 0.8.
If there is enough time for only six interviews, how confident can he be of getting a job within the available time?
A new treatment for baldness is known to be effective in 70% of the cases treated. Four bald members of the same family are treated.
Three of the 10 airplane tires at a hangar are faulty. Four tires are selected at random for a plane; let F be the number of faulty tires found.
Suppose that a cost is imposed of an amount equal to the square of the number of additional hours of sleep.
Use the cumulative probability function computed in (b) to find the probability that anywhere from one to four shipment orders will arrive on a given day.
All voters of Milwaukee County were asked a week before election day whether they would vote for a certain presidential candidate.
Lobsters vary in sizes. The bigger the size, the more valuable the lobster per pound (a 6-pound lobster is more valuable than two 3-pound ones).
What are Bernoulli trials? What is the relationship between Bernoulli trials and the binomial random variable?
The average annual return on a certain stock is 8.3%, and the variance of the returns on the stock is 2.3.
What is the long-term average earning of business ventures of this kind? Explain. d. What is a good measure of the risk involved in a venture of this kind?