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The diameter of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that a randomly selected pencil will be less than 0.285 inches?
In as sample of 855 bartenders, 48% report hearing complaints from patrons about their jobs. If the maximum error of estimate for the proportion of bartenders hearing job complaints is 4.4 percentage points, what is the degree of confidence used?
If, on the average, 20 orders are received by fax every two hours throughout the day, find the a. probability that a faxed order will arrive within the next 9 minutes.
What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated?
Many vehicles used in space travel are constructed with redundant systems to protect the flight crew and their equipment. Find the probability that this shuttle component functions successfully if n = 2.
The Skateworld Company operates ice rinks in several major cities throughout the United States. During each session of open skating, one customer is selected at random to receive a free pass for a future open skating session.
A professor asked her sophomore students, "How many drinks do you typically have per session? (A drink is defined as one 12oz beer, one 4oz glass of wine, or one 1oz shot of liquor.)"
Can the researcher conclude that humidity has a significant effect on eating behavior? Use a two-tail test with α = .05.
Convert each of the following z intervals to raw score x intervals:
If the pilot plant fails, Rob feels the chance of the full-scale facility succeeding is only 20%. The probability that the pilot plant will succeed is estimated at 0.6. Structure this problem with a decision tree and advise Rob what to do.
Use the hypergeometric formula to find this probability. The lottery commission also pays if a contestant matches 4 or 5 of the 6 winning numbers. Hint: Divide the 44 numbers into two groups, winning numbers and nonwinning numbers.
What is the probability that the debt for a borrower with good credit is more than $18,000?
A random sample of 121 checking accounts at bank showed an average daily balance of $280 the standard deviation of the population is known to be $6. Find the standard error of the mean.
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