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A lot (collection) consisting of 200 fuses is inspected by taking 10 fuses at random and without replacement. If all 10 "blow" at the correct amperage, the lot is accepted. If there are 20 defective fuses in the lot and the random variable X equals the number of defectives among the 10 selected, find the p.m.f., the mean, and the variance of X. What is the probability of accepting the lot? Find the probability using the hypergeometric distribution, then the binomial approximation, and finally the Poisson approximation.
at one time the cholesterol levels for women aged 20 to 34 follow an approximately normal distribution mean 185
What is the computed z-value for testing the null hypothesis that the proportion of successes in Population 1 exceeds the proportion of successes in Population
you toss a fair coin repeatedly until some event happens.a what is the expected number of tosses until the pattern ht
hypothesis testing for a t-test. monitoring lead in air. listed below are measured amounts of lead in micrograms per
in 2005 congress passed the bankruptcy abuse prevention and consumer protection act.nbsp this act made significant
let x be a negative random variable with parameter r p. prove that ex rp by expressing x as a sum of indicator random
The average fill volume from a random sample of 49 bottles of an energy drink is 32.8 ounces; the standard deviation among the individual fill volumes is3.5 ounces. Determine a 95 percent confidence interval for the mean fill weight.
Assume that each shipment contains a random sample of bearings. a. What is the probability that a given shipment is acceptable?
Give a 99% confidence interval for the mean increase in pay for all corporate CEOs.
A square yard of carpet is examined for surface defects. Currently, the process produces an average of 2.4 defects per square yard. What is the probability of finding 2 or more surface defects in the sample.
A curious parent observes a cereal commercial that states their product has an average of 50 pieces of real fruit per box with a standard deviation of 6 pieces per box. She decides to check the accuracy of this statement by selecting 100 boxes of cer..
Test the hypothesis that = 800 hours against the alternative 800 hours if a random sample of 30 bulbs has an average life of 788 hours. Use a 0.04 level of significance.
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