Find Probabilities, Mean and Standard Deviation, and Distribution

1. The number of hours needed by students in an economicscourse to complete a term paper are attached.

A student is selected at random. Find the following probabilities.
a. the student took more than 9 hours
b. the student took less than 6 hours
c. the student took between 7 and 9 hours, inclusive.

2. A box holds 5 blue chips, 14 orange chips, and 6 yellow chips. If a chip is randomly selected, what is the probabilitythat it is yellow?

3. A company makes batteries in batches of 20, with a 3% rate of defects. Find the meanand standard deviationfor the random variablex, the number of defects per batch.

4. Find the mean and standard deviation for the random variable x, given the attached distribution

5. The variable x is normally distributed. The mean is 15.2, and the standard deviation is 0.9. if an item is randomly selected, find the probability that it is greater than 16.1.

This solution is provided in an attached .doc file. It goes through each question and briefly calculates and explains how to calculate probability, mean and standard deviation.