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A graduate student has variable income from his assistance ship and tutoring work. He extimates his monthly income (as of the beginning of the month) to follow follow this distribution:
Income
Probability
$850
0.35
$900
0.25
$950
$1,000
0.15
His monthly expenses are expected to range from $850 to $1,200, following a uniform distribution.
He has a beginning cash balance in September of $1,500.
1. What is his expected cash balance at the end of the following May?
2. What is the probability that his balance will be negative in one or more month?
3. What is the probability that his May ending balance is less than $500?
Can we conclude that there is a difference in number of citations written between the officers? Use the 0.05 level of significance.
Using a .05 level of significance, test whether the sample results indicate that the manufacturing process is functioning properly.
A local health center noted that in a sample of 400 patients 80 were referred to them by the local hospital. What size sample would be required to estimate the proportion of hospital referrals with a margin of error of 0.04 or less at 95% confiden..
In a survey of 2480 golfers, 15% said they were left-handed. Construct to the 95% confidence interval for the population proportion p. Construct a 95% confidence interval for the population proportion p of left-handed golfers.
Prepare the confidence interval of 95% for the welders' proportion that graduated in the school of welding.
A drug manufacturer wants to estimate the effect of its new drug designed to increase patients white blood cell count.
Record the tumor grade and whether the patient was still alive one year after surgery. University Hospital County Hospital Private Hospital Which hospital has the best record?
In a Gallup Poll of 1005 randomly selected Americans in April 2006, 482 responded "yes" to the question, "Do you consider the amount of federal income tax you have to pay as too high?"
More than 19 of them eat this brand of cereal 3) between 12 and 17 (inclusive) of them eat this brand of cereal? 4) find the mean and standard devation.
Out of the total nuts manufactured by a company 0.5 percent became defective. The nuts are supplied in packets of 40. Find out the probability number of packets containing.
Find a 95% confidence interval for the mean of all drinks dispensed by this machine if a random sample of 36 drinks has an average content of 2.25 deciliters.
Seiko purchases watch stems for their watches in lots of 10,000. Seiko's sampling plan calls for checking 20 stems, and if 3 or fewer stems are defective, the lot is accepted.
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