Identify the given random variable as being discrete or continuous.

The number of oil spills occurring off the Alaskan coast

Find the mean of the given probability distribution.

Solve the problem.

A 28-year-old man pays $199 for a one-year life insurance policy with coverage of $50,000. If the probability that he will live through the year is 0.9994, what is the expected value for the insurance policy?

Answer the question.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why.

Choosing 5 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the number of red marbles chosen.

Find the indicated probability.

Find the probability of exactly 9 girls in 10 births. Assume that male and female births are equally likely and that the births are independent events.

The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women. Among the last 10 participants there have been only 2 women. If participants are picked randomly, what is the probability of getting 2 or fewer women when 10 people are picked?

Find the mean, µ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.

n = 595; p = .7

n = 2412; p = .63

n = 1177; p = 0.91

Solve the problem.

The probability that a person has immunity to a particular disease is 0.4. Find the mean number who have immunity in samples of size 30.

The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 16. Find the standard deviation for the number of seeds germinating in each batch.

A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. A survey of 800 randomly selected consumers is to be conducted. For such groups of 800, would it be unusual to get 542 consumers who recognize the Dull Computer Company name?

Use the Poisson Distribution to find the indicated probability.

A computer salesman averages 1.6 sales per week. Use the Poisson distribution to find the probability that in a randomly selected week the number of computers sold is 3.

Answer the question.

Use the Poisson Distribution to find the indicated probability.

For a certain type of fabric, the average number of defects in each square foot of fabric is 0.3. Find the probability that a randomly selected square foot of the fabric will contain more than one defect.

Solve the problem.

A company manufactures batteries in batches of 13 and there is a 3% rate of defects. Find the variance for the number of defects per batch.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why.

Choosing 5 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time without replacement, keeping track of the number of red marbles chosen.