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A) what is the shape of this sampling distribution? (Skewed right, approx. normal, skewed left, or uniform) B) what is the mean of this sampling distribution? (2 decimal places) C) what is the stand
An April 15, 2002 report in Time Magazine stated that the average age for women to marry in the U.S. is now 24 years of age. If the standard deviation is assumed to be 5 years, find the probability
One marble is drawn at a time without replacement from an urn that initially contains 6 white and 4 black marbles. Find the probability that the second marbles drawn is black. Hint: Condition on the
What is the probability that the part is from supplier 3? What is the probability the part is not OOS if it is from supplier 1? What is the probability the component is from supplier 1 and is OOS?
The mean brain volume for a group of healthy adults is collected and the mean brain volume of adults diagnosed with obsessive-compulsive behavior is also obtained. The results are listed below. Test
Find the probability that the student is enrolled in math or English (or both). Use proper probability notation. Find the probability that the student is enrolled in both math and English. Use proper
Tasks are sent to a supercomputer at an average rate of 6 tasks per minute. Their arrivals are modeled by a Binomial counting process with 2-second frames. Compute the probability of more than 2 tas
Suppose that a random variable, X has the probability distribution
The moment generating function of a random variable X is given by Mx(t)= 1/4+(1/8)e^(t)+(3/8)e^(2t)+(1/4)e^(4t) . Determine the probability that X lies between -1 and 3
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
If the selection process were really random, what would be the mean and variance of the number of African American members selected for the jury?
A subcommittee of three members is to be selected at random from the city council which has 6 males and 3 female members. How many subcommittees would not contain any female members?
Find the expected number of defective boards or E[X] Find the variance of the number of defective boards or Var[X]
In compiling an ethical research report for audiences, the researcher should: A.Report honestly without changing results
For each of the following statements about the chi-square ( X^2 ) distribution, state whether it is true or false and explain or justify your answer.
Find the joint probability mass function of the random vector (X, Y, Z). Find Cov(X, Y) and Corr(X, Y).
The distribution ages for students at the state college is positively skewed with a mean of 21.5 and a standard deviation of 3.
Suppose it is known that the time spent by customers in a fast-food restaurant is a normally distributed variable with a mean of 16 minutes and a standard deviation of 4 minutes. What is the probabi
A random sample of 64 bearings produced by a machine has a mean diameter of 2.5 inches with a standard deviation of 0.1 inch. Construct a 90% confidence interval for the mean diameter of ball bearin
Assume that the charges made by all radio stations of the type sampled are approximately normally distributed. Construct the 95% confidence interval for the population mean.
A scientific committee of 4 persons is to be randomly selected from a group consisting of 3 biologists, 3 physicists and 4 mathematicians. Let X denote the number of biologists, Y the number of phy
A multiple-choice test contains n questions. If answers are randomly selected, the correct answer will be selected with probability p. What is the probability that X, the number of questions that th
The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution:
Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top twelve. (Round your answers to 3 decimal places.)
Describe the set of assumptions that you need to make in the application of Linear programming technique.