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Suppose that the weights of cinder blocks at a local construction yard follow a normal distribution with mean of 20 kg and a variance of 0.25 kg2.
Suppose that wait times for customers at a grocery store cashier line are uniformly distributed between one minutes and fifteen minutes. What are the mean and variance of the waiting time?
A student graduated from a 4-year college with an outstanding loan of $9650 where the average debt is $8455 with a standard deviation of $1865. Another student graduated from a university with an ou
A multiple-choice exam consists of 16 questions, each with five alternatives. A student needs to answer at least 12 of the questions correctly in order to pass the exam. (a) What is the probability
Suppose that X and Y are independent random variables, each coming from a geometric distribution with parameter p.
Suppose that X is a discrete random variable for which E[X]=12 and Var[X]=25. Compute E[X(X-5)].
Develop a linear optimization model to determine how many of each type of unit the developer should build. Implement your model on a spreadsheet and find an optimal solution.
The leading brand of dishwasher detergent has a 30% market share. A sample of 25 dishwasher detergent customers was taken. What is the probability that 10 or fewer customers chose the leading brand?
What is the critical t value at the 10% level of significance? OF. The researcher is interested in determining whether there is evidence that the two processes yield different average errors. THe po
Find the standard deviation of the number of students who will graduate within 4 years. (Round your answer to two decimal places.). How many students?
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.