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Four buses carrying 156 high school students arrives in Montreal. Buses carry, respectively, 30, 49, 33, and 44 students. One of the students is arbitarily selected. Let X denote number of students which were on bus carrying this arbitarily chosen student. One of 4 bus drivers is also arbitarily chosen. Let Y denote number of students on his bus. Calculate expectations and variances of X and Y:
E(X)=Var(X)=E(Y)=Var(Y)=
A silver dollar is flipped twice. Calculate the probability of each of the following occurring:
A voltmeter is used to measure a known voltage of 100 V. Forty percent of the readings are within 0.5 V of the true value. Estimate the standard deviation for the meter.
We have discussed two different methods for making statistical inferences such as developing interval estimates and conducting hypothesis tests. These methods are the "Critical Value Method" and the "P-Value Method".
Set up null hypothesis for associated F test.
How many jackets should the store owner order if she wants to maximize her expected profit?
To develop 3-month and 2-month moving average for the time series.The following data represents demand for company ABC's products for the last 10 months.
Construct a 95% confidence interval for the difference in the proportions of women and men who have regular exercise programs.
Show the graph of the probability density function for flight time.
A work-study engineer times a certain operation, and discovers that the average time it takes is 10 minutes, but on 15% of occasions it takes more than 13 minutes.
It has been evaluated that 30% of all farms are family-owned. In sample of 12 farms, determine the probability that exactly 3 farms are family owned?
Founder of modern probability and statistics theory Cardano asserted that if one throws a die three times the chance that a given number will show at least once is 50 percent. This is now recognized as the wrong answer. Calculate, what is a probab..
Before the rush began for Christmas shopping, a department store had noted that the percentage of its customers who use the store's credit card, the percentage of those who use a major credit card, and the percentage of those who pay cash are the ..
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