MGSC 5108 - Statistics - Cape Breton University

Assignment Task

1) Describing Data: Frequency Tables and Frequency Distributions

The grade results of an exam is shown in the following frequency distribution

a) What are the classes with highest and lowest frequency in this dataset?

(b) Construct the histogram for this dataset (you can construct it in Excel and copy paste here)

(c) Construct a relative frequency polygon for this dataset.

2) Describing Data: Numerical Measures

The ages of a sample of telephones used in a small-town hotel were organized into the following table:

Compute the i) standard deviation ii) variance of this dataset.

3) Discrete Probability Distribution

The electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks. What is the probability that there will not be more than one failure during a particular week.

4) Continuous Probability Distribution

The length of life of a bulb follows a uniform distribution between 10 and 16 months.

(a) Calculate the mean and the standard deviation of this distribution.

(b) What is the probability a particular bulb works between 12 and 14 months?

(c) What is the probability a bulb will work less than 11 months?

5) Continuous Probability Distribution

A telephone company has found that the lengths of its long-distance telephone calls are normally distributed, with a mean of 230 seconds and a standard deviation of 60 seconds. 

• What is the area under the normal curve between 230 and 255 seconds? Write this area in probability notation.
• What is the area under the normal curve for greater than 255 seconds? Write this area in probability notation.

This Statistics has been solved by our PhD Experts at My Uni Paper.