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a group of three undergraduate and five graduate students are available to fill certain student government posts. If four students are to be randomly selected from this group, find the probability t
Twenty-six percent of couples who plan to marry this year are planning destination weddings. In a random sample of 12 couples who plan to marry, find the probability that exactly 6 couples will have
Use Bayes' theorem to solve this problem. A store owner purchases stereos from two companies. From Company A, 550 stereos are purchased and 1% are found to be defective. From Company B, 850 stereos
Give an estimate of the change in expected peak voltage with a 1% increase in light absorption. Estimate the expected value of peak voltage when % light absorption is 20.
find the percentage of such males that weigh between 190 and 210 lb. (Note: Make sure you choose the flag value closest to 190 and 210.) Give the proportion as a decimal rounded to thousandths.
The president for a firm believes that 34% of the orders come from first time customers. A simple random sample of 120 orders will be used to estimate the porportion of first time consumers. Assume
in a binomial experiment the probability of success is 0.06. what is the probability of two successes in 7 trials?
According to the Current Population Survey, P(A)=0.138, P(B)=0.261 and the probability that a household is both prosperous and educated is P(A and B)=0.082.What is the probability that a household i
Is there evidence that the waiting time at this particular restaurant is less than 3.7 minutes? Use a 1% level of significance. What is your conclusion?
You are trying to locate an old high school friend who lives in Chicago. Unfortunately, your friend's name is Anthony Smith and the Chicago phone book lists phone numbers for 24 diff erent people na
Determine the expected annual cost of shortages or surpluses of this product. Compute the standard deviation of costs.
An insurance company looks at the records for millions of homeowners and sees that the mean loss from fire in a year is $300 per person and the standard deviation of the loss is $400.What are the me
A manufacturer of mole and gopher poison has experienced the following monthly demand for an environmentally sound pesticide poison.
The depths of wells drilled in this area have a normal distribution with a mean of 250 feet and a standard deviation of 40 feet. What is the probability that Company B would charge more than Company
Otherwise, it is rejected. a) For different values of p, the defective rate of the lot, compute the probability that the lot is accepted.
Determine the mean and standard deviation of the simulated distribution. Does the simulated distribution look like the original distribution?
It is known that 15% of all homeowners pay a monthly mortgage of more than $2500 and that the standard deviation of the monthly mortgage payments of all homeowners is $350. Suppose that the monthly
Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use α = .05.
The following 2x3 contingency table contains observed frequencies for a sample of 200. Compute the value of the χ 2 test statistic (to 2 decimals).
Medium companies have 100 to 999 employees, and large companies have 1000 or more employees. Sample data are reported for 50 employees of small companies, 75 employees of medium companies, and 100 e
Find the weighted mean if each three-hour course counts for 18%, and each four-hour course counts for 23% of her final semester score.
How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 5% with 98% confidence?
Additional flips of the coin are made until the pattern of the first k is repeated (possibly by using some of the first k flips). Show that the expected number of additional flips after the initial
The heights of all adults in Canada are normally distributed with a mean of 67 inches and a population standard deviation of 4 inches. For any one person selected at random, what is the probability
the buses supplied by company B arrive on time is 0.94 and the probability that the buses supplied by company C is late is 0.07. Find the probability that one of the buses arrives on time.