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Combinations and Percentage Probabilities

A tax account has three choices for the method of treating one of a client's deductions. After this choice has been made, there are only two choices for how a second deduction can be treated. What is the total number of possibilities for the treatment of the two deductions?

A committed consists of eight members, each of whom may or may not show up for the next meeting. Assuming that the members will be making independent decision on whether or not to attend, how many different possibilities exist for the composition of the meeting?

The weights of cans of Monarch pears follow the normal distribution with a mean of 1,000 grams and a standard deviation of 50 grams. Calculate the percentage of the cans that weigh:
a. Less than 860 grams
b. Between 1,005 and 1,100 grams
c. Between 860 and 1,055 grams

The number of passengers on the Carnival Sensation during one-week cruises in the Caribbean follows the normal distribution. The mean number of passengers per cruise is 1,820 and the standard deviation is 120.
a. What percent of the cruises will have between 1,820 and 1,970 passengers?
b. What percent of the cruises will have 1,970 passengers or more?
c. What percent of the cruises will have 1,600 or fewer passengers?
d. How many passengers are on the cruises with the fewest 25 percent of passengers?

Solution Summary

Word document attached tackles four statistics problems on combinations and other areas.