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1) In a certain town, 60% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults)who have a college degree. Find the variance for the probability distribution.
x P(x)
0 0.0256
1 0.1536
2 0.3456
3 0.3456
4 0.1296
2) An airline estimates that 98% of people booked on their flights actually show up. If the airline books 76 people on a flight for which the maximum number is 74, what is the probability that the number of people who show up will exceed the capacity of the plane?
Use the Poisson Distribution to find the indicated probability.
3) A mountain search and rescue team receives an average of μ = 0.75 calls per day. Find the probability that on a randomly selected day, they will receive fewer than two calls.
What is the 95% confidence interval estimate of the mean television viewing time per week during the 8:00 p.m. to 11:00 p.m. time period?
Distinct random variable
A researcher used stepwise regression to create regression models to predict Birthrate (births per 1000) using five predictors:
What percentage of items will weigh between 6.4 and 8.9 ounces?
It is suspected that the mean turnover has changed and is not 6.0. Use the .05 significance level. Give the formula for the test statistic.
Die with 4 sides {1, 2, 3, 4} is tossed 2 times. Let X equal maximum of two observations and let Y equal minimum. Determine joint pmf of X and Y, and correlation coefficient. Are X and Y independent?
The United States Postal Service reports that 95 percent of first class mail within the same city is delivered within two days of the time of mailing. Six of the letters are randomly sent to different locations.
Describe the use of sensitivity analysis and postoptimality analysis in analyzing the results. Describe the characteristics of a Bernoulli process. How is a Bernoulli process associated with the binomial distribution?
Identify the sampling distribution to be used: the standard normal distribution or the Student's t distribution. Find the critical value(s).
Suppose you take a sample of size 100 of test scores and find that the mean is 63. What is the z-score corresponding to this sample mean?
A certain police officer stops cars for speeding. The number of red sports cars she stops in one hour is a Poisson process with rate 4, while the number of other cars she stops is a Poisson process with rate 1.
Jolly Blue Giant Health Insurance is concerned about rising lab test costs and would like to know. Determine the essential sample size?
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