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It was reported that approximately 45% of all university professors are extroverted. Suppose you have classes with 6 different professors.
a) What is the probability that all 6 are extroverts?
b) What is the probability that none of your professors are extroverts?
c) What is the probability that at least 2 of your professors are extroverts?
d) In a group of six professors selected at random, what is the expected number of extroverts? what is the standard deviation of the distributions?
Shaver Manufacturing, Inc., offers dental insurance to its employees. A recent study by the human resource director shows the annual cost per employee per year followed the normal probability distribution
Passengers using New York's MetroCard system must swipe the card at a rate between 10 and 40 inches per second, or else the card must be re-swiped through the card reader. Research shows that actual swipe rates by subway riders are uniformly distr..
Over the past decade, there has been a strong positive correlation between teachers salaries and prescription drug cost.
Suppose that the average annual salary for a worker in the United States is $30,000 and that annual salaries for Americans are normally distributed with a standard deviation equal to $7,000. Determine the following:
Pollsters try to determine whether or not a person is a "likely voter" before they count their opinion in a poll. If we assume 40% of the registered voters will actually vote, in a random sample of 100 registered voters we can be 95% confident tha..
An Auditor of a small bsuiness has sampled 50 of 700 accounts. The sample mean total receivables is $435, and the sample standard deviation is $86. Find a 95% confidence interval for the total amount of receivables.
Is global F ratio significant? Identify this F ratio, and describe whether it is important.Is coefficient for X1 (productivity) significant? How do you know? Mention its t value and accompanying P-value.
The following is a case-control study: Obtaining histories and other information from a group of known cases and from a comparison group to determine the relative frequency of a characteristic or exposure under study.
The data in the scatterplot below are an individual's weight and the time it takes (in seconds) on a treadmill to raise his or her pulse rate to 140 beats per minute. The o's correspond to females and the +'s to males.
What is the expected number of crimes that will be solved? What is the standard deviation?
Determine the estimated population mean?
Assume that a sample is drawn and z(α/2) = 1.65 and σ = 35. Answer the following questions. (A) If the Maximum Error of Estimate is 0.04 for this sample, what would be the sample size?
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