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What is the probability that a randomly selected teacher's salary is greater than $45,000? For a sample of 75 teachers, what is the probability that the sample mean is greater than $38,000?
Let X(t) be a Brownian motion process with drift = 10 and volatility = 2.
In the design of an electromechanical product, 12 components are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the b
A 95% confidence interval for mean diastolic blood pressure in women is 62 to 110. What is the margin of error? What is the standard error?
Suppose that X and Y are independent exponential random variables each with rate [lambda]. What is the conditional probability of X, given that Z = X + Y = z?
Consider the experiments: First draw a Poisson random variable N with parameter[lambda]. Then perform N independent Bernoulli trial each with success probability p. Let Z be the total number of suc
What is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips, inclusive? What is the probability that a randomly selected bag contains fewer 1025 chocolate chips
Seventy five percent of youths ages 12-17 have a systolic blood pressure lower than 136mm of mercury. What is the probability that a sample of 12 youths of that age group will include:
A group of researchers studied the effect of global environmental change on grazing lands. Their article reported the results of 171 different hypothesis tests. Of these tests, 4 were determined to
Determine the area under the standard normal curve in parts (a) through (c) below. Find the area under the normal curve to the left of z = - 1 plus the area under the normal curve to the right of z
The mean score on a physical fitness test for Division I student-athletes is 947 with a standard deviation of 205. If you select a random sample of 60 of these students, what is the probability the
Find P(X . 0), the probability that a randomly selected student held at least one job during the past year. Create a table that gives the cumulative probability distribution for X.
Assume that the bale weights follow a normal model What percentage of the bales weighs between 380 kg and 420 kg?
Compute the mean and deviation of the random variable. (c) Draw the probability historagram, comment on it's shape, and label the mean on the histogram.
Suppose that fifty-two percent of the residents of the city Eugene think that Arizona will defeat Oregon in their next college football game. Find an appropriate estimate of the probability that gre
If the retailer has 2,750 units on hand at the start of the week, what is the probability that weekly demand will be greater than inventory?
What is the probability that they would find 3 or more errors in a sample of 10 bills if the administrators had actually failed in improving the billing process, and the error rate was still 15%.
A report issued by the American Association of Building Contractors indicates that 40% of all home buyers will do some remodeling to their home within the first five years of home ownership. Assumi
In a group of five items, two are defective. Find the distribution of N, the number of draws we need to find the first defective item. Find the mean and variance of N.
A roulette wheel has slots numbered 1 to 36 and two labeled with 0 and 00. Suppose that all 38 outcomes have equal probabilities. Compute the expected values of the following bets. In each case you
Provide first the approximate conservative 95% margin of error and then use it to report the corresponding confidence interval estimate.
A man and his wife decide that they will keep having children until they have one of each sex. Ignoring the possibility of twins and sup- posing that each trial is independent and results in a boy
For a given sample size, when we increase the probability of type 1 error, the probability of a type 2 error?
According to an airline, a particular flight is on time 85% of the time. Suppose 13 flights are randomly selected and the number of on time flights is recorded. Use technology to find the probabili