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An airline, believing that 5% of passengers fail to show for flights, overbooks (sells more tickets than there are seats). Suppose that for a particular flight involving a jumbo-jet with 260 seats, the airline sells 274 tickets.
a. What is the expected number of ticket holders that will fail to show for the flight?
b. What is the probability that the airline will not have enough seats for all the ticket holders who show for the flight?
When planning the new baseball stadium for Washington DC, you are asked to find the break-even point for the number of luxury skyboxes built.
Industry standards recommend that 9 percent of new vehicles need warranty service in the first year. Determine the probability that none of these vehicles needs warranty service?
A hospital human resources manager finds that the local average starting salary for nurses is $24,000. She randomly samples 10 nurse's salaries at the hospital and calculates a mean of $23,450 and a standard deviation of $400.
An automobile assembly line operation has a scheduled mean completion time, mean, of 14.7 minutes. The standard deviation of completion times is 1.2 minutes.
In a sample of 10 workers, what is the probability that exactly three workers take the public transport daily? [Hint: It is a Binomial Distribution Problem.]
A professor receives, on average, 24 emails from students the day before the midterm exam. To compute the probability of receiving at least 10 emails on the next day before the midterm she would use which probability distribution?
Given that the sample mean is x¯=93.81, and the sample standard deviation is s=4.65, determine if there are any outliers. (We will define an outlier to be any data value outside of the x¯+_2s range.)
An article in Annals of Mathematical Statistics reports the following data on the number of borers in each of 120 groups of borers. Does the Poisson pmf provide a plausible model for the distribution of the number of borers in a group?
How is the null hypothesis chosen (why is it null)? What is the importance of rejecting the null hypothesis in relation of the sample to the population?
Use Hypothesis testing to compute te correlation between these two variables and these it for significance. Test at .01 level of significance.
Calculate the probability that a hand of 13 cards dealt from a normal pack of 52 contains exactly two kings and one ace. what is the probability that it contains exactly one ace given that it contains exactly two kings.
A sample of 144 cans of coffee showed an average weight of 16 ounces. The standard deviation of the population is known to be 1.4 ounces.
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