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What is the distribution and parameters of S? What is the support? What is the probability that worker fills his quota on the 125th person that he asks to complete the survey? What is the probability
Give the equation for the standard deviation of a random variable X over an entire population with probability mass function f(x) and with a known µ
A production process for parts made by a supplier have a historical defect rate of 1%. A sample of 20 parts is taken. What distribution should you use? Find the probability that 2 of the 20 parts se
Construct a histogram from the following data using 8 bins that exactly cover the range: 5, 12, 6, 29, 19, 24, 29, 18, 28, 16, -10, 15, 23, -3, -8, 28, 16, 28, 28, 0.
From a high school with 40 freshman, 38 sophmore, 35 juniors, and 30 seniors, a random sample of 8 students is taken without replacement. What distribution should be used? What is the probability t
In a remote tropical region, there is a direct road from A to B but it is impassable about 50% of the time due to rain. An alternative route passes through a third location C. Suppose the road from
What are sampling techniques and discuss about sampling techniques? Write sources from where you have got the answer(mandatory)
What is the probability that a response time exceeds 9 minutes. Compute the top 10 th percentile for response times?
A couple plans to have three children. assuming that each child is equally likely to be a boy or girl, find the probability distribution of the number of girls among the three children. Then find th
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.
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