# Solving Various Probability Problems

(See attached file for full problem description)

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1. A food distributor carries 64 varieties of salad dressing. Appleton Markets stocks 48 of these flavors. Beacon Stores carries 32 of them. The probability that a flavor will be carried by Appleton or Beacon is 15/16. Find the probability a flavor is carried by both Appleton and Beacon.

2. The time it takes to travel from home to the office is normally distributed with u = 25 minutes and sigma = 5 minutes.

a. What is the probability the trip takes more than 20 minutes?

b. What is the probability the trip takes less than 15 minutes?

c. What is the probability the trip takes between 30 and 35 minutes?

d. What is the probability the trip takes more than 40 minutes?

https://brainmass.com/statistics/probability/solving-various-probability-problems-93222

#### Solution Preview

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1. A food distributor carries 64 varieties of salad dressing. Appleton Markets stocks 48 of these flavors. Beacon Stores carries 32 of them. The probability that a flavor will be carried by Appleton or Beacon is 15/16. Find the probability a flavor is carried by both Appleton and Beacon.

Solution. Denote by A the event ...

#### Solution Summary

This solution step-by-step calculations for probability.