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1. Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week.
a) Find the probability that the site gets 10 or more hits per week.
b) Determine the probability that the site gets 20 or more hits in two weeks
2. The random variable X is exponentially distributed with sigma = .5. Find the following probabilities.
a) P(X > 1)
b) P(X > .4)
c) P(X < .5)
d) P(X < 2)
3. A factory's worker productivity is normally distributed. One worker (worker 1) produces an average of 75 units per day with a standard deviation of 20. Another worker (worker 2) produces at an average rate of 65 per day with a standard deviation of 21. What is the probability that during one week (5 working days) worker 1 will produce more than worker 2?
4. According to TNS Intersearch, 69% of wireless web users use it primarily for receiving and sending e-mail. Suppose that three wireless web users are selected at random. What is the probability that all of them use it primarily for e-mail?
5. The effects of an antidepressant drug varies from person to person. Suppose that the drug is effective on 89% of women and 65% of men. It is known that 66% of the people who take the drug are women. What is the probability that the drug is effective?
Compute a 5-month moving average forecast for June through January.
What would be the correct null and alternative hypothesis for the following situation: The sample has a mean of 72.3 mph and a standard deviation of 7.4 mph. Use a 0.05 significance level to test the claim that the mean speed of all cars is greate..
Find out optimal decision
Keith's florist has 18 delivery trucks used mainly to deliver flowers in the SC area. Of these 18 trucks, 5 have brake problems. A sample of 4 trucks is randomly selected. What is the probability that 2 of those defective have defective braked. Ro..
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. a) What is the probability of completing the e..
A health researcher is interested in determining whether or not the speed at which people walk is related to their cholesterol levels. He picks 100 adult volunteers at random, checks their cholesterol levels, and then times each one while they wal..
Suppose that it is important to demonstrate that the wall thickness exceeds 4.0 mm. Test appropriate hypotheses using these data. Draw conclusions at α= 0.05.
A popular snack is packed by machine into 9-ounce boxes. The distribution of box weights is normally distributed with a mean of 9 ounces and a variance of 0.01 ounces. What is the probability of randomly selecting a box containing less than 8.9 ou..
A personality psychologist conducts a study to examine the relationship between extraversion and the number of siblings in a household.
Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the population of the running times is normally distributed.
Determine whether the difference in proportions is significant at the 0.05 level.
A company that manufactures computer chips wants to use a multiple regression model to study the effect that 4 different variables have on y, the total daily production cost (in thousands of dollars).
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