# Cumulative Binomial Probability Distributions

A manufacturer of window frames know from long experience that 5% of the production will have some type of minor defect that will require an adjustment. What is the probability that in the sample of 20 window frames:

A. None will need adjustment?

B. At least one will need adjustment?

C. More than two will need adjustment?

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Hypergeometric Probabilities

A population consists of fifteen items, ten of which are acceptable. In a sample of 4 items, what is the probability that exactly 3 are acceptable? Assume the samples are drawn without replacement.

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The mean starting salary for college graduates in the spring of 2004 was 36,280. assume that the distribution of starting salaries fallows the normal distribution with a standard deviation of 3,300. What percent of the graduates have starting salaries:

A. Between 35,000 and 40,000?

B. More than 45,000?

C. Between 40,000 and 25,000?

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Assume a binomial probability distribution with n=40 and P=.55. Compute the following:

A. The mean and standard deviation of the random variable.

B. The probability that X is 25 or greater.

C. The probability that X is 15 or less.

D. The probability that X is between 15 and 25 inclusive.

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A recent study by the Greater Los Angeles Taxi Drivers Association showed that the mean fair charged for service from Hermosa Beach to the Los Angeles International Airport is $18.00 and the standard deviation is $3.50. We select a sample of 15 fairs.

A. What is the likelihood that the sample mean is between $17.00 and $20.00?

B. What must you assume to make the above calculation?

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Dr. Patton is Professor of English. Recently he counted the number of misspelled words in a group of student essays. For his class of 40 students, the mean number of misspelled words was 6.05 and the standard deviation 2.44 per essay. Construct a 95 percent confidence interval for the mean number of misspelled words in the population of student essays.

#### Solution Summary

The solution solves a few questions concerning cumulative binomial probability distributions as well as hypergeometric probabilities