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Assume that the salaries of elementry school teachers in the US are normally distributed with a mean of $32,000 and a standad deviation of $3000. If 100 teachers are randomly selected, find the probability that their mean salary is greater than $32,500
a) 0.0475b) 0.0950c) 0.3312d) 0.1312e) 0.9525
Is there evidence to suggest a difference in the mean waiting times at the four body shops?
A discrete random variable Y takes the value -1, 0 and 1 with probabilities 1/2θ, 1- θ and 1/2θ respectively. Let Y1 and Y2 be two independent random variables, each with the same distribution as Y.
They select every 20th person from the list until a sample of 100 is obtained. They then call these 100 people. Does this sampling plan result in a random sample? Simple random sample? Explain.
I scheduled three calls for a particular day, and each call has a probability of 0.5 of making a sale. What are his probabilities of making (a) three sales, (b) two or more sales, (c) no sales?
In a high school graduating class of 100 students, 42 studied math, 68 studied psychology, 54 studied history, 22 studied both math and psychology, 7 studied history and neither math nor pyschology, 10 studied all three and 8 did not take any of t..
The probability is 90% that the sample percentage is contained within what symmetrical limits of the population percentage?
A deck of cards is shuffled and then divided into two piles of 26 cards each. We say that a suit is unsplit if all 13 cards of that suit are in the same pile. Compute the probability that at least one suit will be unsplit.
Based on data from a car bumper sticker study, when a car is randomly selected, the number of bumber stickers and corresponding probabilities are shown below.
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and a standard deviation of 1 degrees C.
People arrive at a restaurant at a rate of five per minute and wait to receive their order for an average of 5 mins. Customers eat in with a probability of 0.5 and carry out with a probability of 0.5.
To forecast attendance at an yearly tennis tournament a model has been developed that uses attendance from the previous year and the amount spent for advertising this year.
Suppose a random sample of 50 architects and engineers is selected. How likely is it that the random sample contain five or fewer women in these positions.
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