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?
----------------------------------------------------------------------------------------------

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.
-----------------------------------------------------------------------------------------------

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?
-----------------------------------------------------------------------------------------------
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.

-----------------------------------------------------------------------------------------------
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?

--------------------------------------------------------------------------------------------
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.