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Suppose that you pick 10 adult males at random. What is the probability that at least one of them has BMI more than Q3 = 28.34, the third quartile of the BMI distribution?
Women's weights are normally distributed with a mean of 143 lb and a standard deviation of 29 lb. Find the third decile, D3, which separates the bottom 30% from the top 70%
Determine the miles per gallon such that approximately 75% of the automobiles of this model have less than this miles per gallon. (Please show steps)
Good portfolio managers beat the benchmark in 80% of the years. Mediocre portfolio managers beat the benchmark in 40% of the years. Only 1/3 of all managers are good; the rest are mediocre. A friend
That the margin of error in a 95 % confidence interval for the difference in mean neurologic function scores between men and women does not exceed 2 units.
An airline, believing that 7% 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,
From the relationship between the chi-squared random variable and the gamma random variable, prove that the mean of the chi-squared random variable is v and the variance is 2v.
Find the probability of a false alarm. If an observation has a calue of 4 volts in the prescence of noise, what is the probability of detection (that is, there is a valid signal present that exceeds
The time spent(in days) waiting for a heart transplant for people ages 35-49 can be approximated by the normal distribution: mean = 201 and standard deviation = 26.9 What waiting time represents th
An English literature professor hands out a list of four essay questions, two of which will appear on the nal examination for the course. One of the students taking the course is pressed for time an
The average return for large-cap domestic stock funds over the three years 2009-2011 was 14.8%. Assume the three-year returns were normally distributed across funds with a standard deviation of 4.8%
If the standard deviation for the salaries of both genders is approximately $5200 and the salaries are normally distributed, find the 90th percentile salary for male professors and for female profes
New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that room rates are normally distributed wi
Suppose that a box contains 5 candies, in which 2 of them are sugar-free. You select two candies and eat them. Find the probability that there is at least 1 sugar-free candy remaining in the box.
In the U.S., it is estimated that an average person makes 4 visits a year to the doctor's office. What is the mean and standarad deviation for an average person of the number of monthly visits to the
What is the probability that 2 workers will retire at 65? Find the expected value, variance, and standard deviation of the random variable X defined as 'retirement at 65'.
A bookshelf contains 20 textbooks for different subjects. Among those, 10 of them are used ones, and 10 of them are brand new. You select 2 books and sell one at a time on Oct 11, and Oct 12. Find
Discuss the data that the graph is used to visually represent. Speculate on why the editor chose the graph, as opposed to merelyreporting the data
A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a variance of 64. We are interested in determining whether the average
The number N of devices that a technician must try to repair during the course of an arbitrary workday is a random variable having a geometric distribution with parameter p = 1/8. We estimate the pr
Suppose heights of adults (measured in inches) are normally distributed with mean 70 inches and standard deviation 10 inches. What can be said about an adult height of 100 inches?
Kuru is a prion disease of the Fore people of highland New Guinea. Kuru is similar to Creutzfeldt-Kakob disease. It was once transmitted by the consumption of deceased relatives at mortuary feasts,
Models of the pricing of stock options often make the assumption of a normal distribution. An analyst believes that the price of an Initech stock option varies from day to day according to normal di
Calculate the probability that the series ends in 4 games,5 games, 6 games, or 7 games. What is the expected value of X , the number of games ittakes to complete the series? Repeat (a) and (b) under t
A student prepares for an exam by studying a list of 10 problems. She can solve 7 of them. For the exam, the instructor selects 6 questions at random from the list of 10. What is the probability tha