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One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a telephone switchboard. Analysts generally believe that random phone calls are Poisson distributed. Suppose phone calls to a switchboard arrive at an average rate of 2.4 calls per minute. a)If an operator can handle at most five calls per minute, what is the probability that the operator will be unable to handle the calls in any 1-minute period? b)What is the probability that one or fewer calls will arrive in a 15-second interval?
According to the U.S National Center for Health Statistics, the mean height for adult American males is mu = 65.5 inches. Assume the heights are normally distributed with standard deviation of sigma = 3.2.
A consumer watchdog organization wants to see whether Bank N in the northern part of a state has a higher default rate than Bank S in the southern part of that same state.
Consider the multiple regression equation, = 100 + 20x1 - 3x2 + 120x3
As a part of their testing program Sony tests samples of 25 batteries. What can you say about the shape of the distribution of sample mean?
1. one single number digit is selected randomly a. list the sample space. b. what is the probability of each event?
Eight randomly selected plants have heights 172, 156, 154, 163, 170, 169, 170 and 164 cms. Test whether the sample standard deviation differs significantly?
Assess the impact of an event on a population. I ran a survey before the event and then I ran the survey after the event. The collected responses matched between prior to the event and after. I used paired t-test to determine if the event had a posit..
Use a 95% CI to estimate the difference between the proportions of men and women managers who are married. Interpret the interval and what is the conclusion in terms of the populations from which the samples were drawn.
A university found that 20 percent of its students withdraw without completing the introductory statistics. Assume that 20 students registered for the course.
Discuss why the independent t-test is called independent. What does this analysis have to do with variance within and between groups?
What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces (to 4 decimals)?
In Colorado Springs the newspaper runs mug shots of wanted criminals. The 17% of those published are arrested through information provided to the police. If 200 are published, find the probability that less than 30 are arrested.
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