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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline sells 160 tickets for a flight that has only 155 seats, what is probability that a seat will be available for every person holding a reservation and planning to fly?
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
Construct a 95% confidence intervalfor the population proportion of positive drug tests. Why is the normality assumption not a problem despite the very small value of p?
Find the probability that in a given year a) exactly one major hurricane will strike the U.S. mainland, b) at most one major hurricane will strike the U.S. mainland.
The closing price of a company's stock tomorrow can be lower, higher or the same as today's closed. Without any prior information that may affect the price of the stock tomorrow, the probability that it will close higher than today's close is 1/3
A sample of 81 business managers on the West Coast had an average breakfast cost of $7.65. 13. At a = 0.05, what is the test value?
The edges of a triangular homesite have lengths of 2x - 1, x, and x + 2. Write an expression for the perimeter of the property.
The equation for the line of best fit is given as Y = 1.8x + 28.7, and the Pearson correlation coefficient was 0.61. Was the correlation coefficient significantly different from zero? Use α = 0.05.
An oil co. is drilling some wells. the results are described as either a dry well or a producer well. Past experience suggests that 10% of exploratory wells are producer wells.
What are the null and alternative hypotheses to test if the new battery has longer life than the old battery? Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem.
Let X be the number of calls you need to make until you find your friend. Give the probability mass function for X. How many calls do you expect to make until you find your friend?
206 randomly selected light bulbs were tested in a laboratory, 161 lasted more than 500 hours. Find a point estimate of the proportion of all light bulbs that last more than 500 hours.
If a random sample of 36 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds? Assume the distribution of the weights of lobster is normal.
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