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Question: Consider a bank with two tellers. Three people, Anne, Betty, and Carol enter the bank at almost the same time and in that order. Anne and Betty go directly into service while Carol waits for the first available teller. Suppose that the service times for two servers are exponentially distributed with mean three and six minutes (or they have rates of 20 and 10 per hour).
(a) What is the expected total amount of time for Carol to complete her businesses?
(b) What is the expected total time until the last of the three customers leaves?
(c) What is the probability for Anne, Betty, and Carol to be the last one to leave?
Find a value t such that if a 911 call is received between 9:00 p.m. and 2:00 a.m., then the probability that the next 911 call will occur more than t minutes
the effect of exercise and diet on body weight is being studied. researchers at a major university have a list of 2500
To evaluate a program designed to improve self esteem for elementary school girls, girls were divided into treatment and control groups. Girls in the treatment group were required to attend an after-school program, while girls in the control group..
In a sample of 300 persons to whom materials were sent, 30 students applied for admission. In a two-tail test at the 0.05 level of significance, should we reject the director's claim?
Construct a scatter plot for the data. Do the data appear to have a positive linear correlation, a negative linear correlation, or no linear correlation? Explain.
This problem related to Basic Statistics and it is about computing the probability of finding a car door on the assembly which takes time between 5 and 10 minutes. The computation has been given in the solution
In 1965, a newspaper carried a story about a high school student who reported getting 9207 heads and 8743 tails in 17,950 coin tosses. Is this a significant discrepancy from the null hypothesis H 0 = 1/2.
Test hypothesis that calories of two populations are equal. Illustrate all steps of the hypothesis testing process. Points will be deducted for missing parts.
Is brain size a measure of intelligence? Brain size tends to vary with body size: for example, sperm whales and elephants have brains up to five times as massive as human brains. So across species, brain size is not a perfect measure of intelligen..
a slender bar length l of mass m is pushed longitudinally off a table with speed vo . determine the angular
Suppose that medical researchers use sample data to find a regression line describing the relationship between y = systolic blood pressure and x = age for men.
Based on a sample of restaurants in a large city, the frequencies are found to be f1 = 5, f2 = 8, f3 = 20, f4 = 32, and f5 = 23. What is the sample size, n? Verify that the sample mean is X‾ = 3.7.
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