Topics: Normal distribution, Probability theory, Probability distribution Pages: 8 (1407 words) Published: November 1, 2010
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CHECKLIST

SEMESTER: AUTUMN 2010

This packet comprises the following material:

1.Text books (two)
2.Course outline
3.Assignment No.1 & 2
4.Assignment forms (2 sets)

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Course: Business Mathematics and Statistics (5528)Semester: Autumn 2010 Level: MBATotal Marks: 100
Pass Marks: 40
ASSIGNMENT No. 1

Q. 1(a)A data processing manager purchased remote terminal processing time to run special jobs at two different computer “utilities”. She wishes to sign a long-term contract with the firm whose computer causes the least delay on the average. The numbers of minutes of delayed processing per week were obtained during trial periods with each firm and are provided below:

Compu Quick 210154793104
Dial-a-Pute183415232519293115203
Assuming that trial experience is representative of future performance, which firm should receive the business? Substantiate your answer with appropriate calculations. (10) (b)The length of life of 220 incandescent 60-watt lamps was obtained and yielded the frequency distribution shown in the table given below: Class LimitFrequency

500-5993
600-6997
700-79914
800-89928
900-99964
1000-109957
1100-119923
1200-129913
1300-13997
1400-14994
1.Construct a histogram of these data, using a vertical scale for relative frequencies. 2.Find the mean length of life
3.Find the standard deviation(10)

Q. 2(a)A hard working student has 90 percent chance to pass the examination and that pass percentage of the university is 28 percent. Suppose 20% students work hard. What is the probability that a person who has passed has really worked hard?

(b)A sales person has 10 percent chance of making a sale to any customer who is called upon. If 20 calls are made, what is the chance that (i) fewer than three sales are made (ii) At least one sale is made (iii) More than five are made?(20)

Q. 3(a)The wrist circumference of adult males is normally distributed with a mean of  = 6.85 and a standard deviation of  = 0.40. One man is selected at random. Determine the probabilities for the following possible wrist sizes.

1.Less than 8.00
2.Between 5.75 and 6.75

(b)The achievement scores for a college entrance examination are normally distributed with a mean of 75 and a standard deviation of 10. What fraction of the scores would you expect to lie between 70 and 90?(20)

Q. 4The shopping times were recorded for 64 randomly selected customers for a local supermarket. The average and variance of the 64 shopping times were 33 minutes and 256, respectively. Estimate the true average shopping time per customer, with a confidence coefficient of 1– = 0.90.(20)

Q. 5A vice-president for a large corporation claims that salesmen are averaging no more than 15 sales contacts per week. (She would like to increase this figure) As check on her claim, 36 salesmen are selected at random, and the number of contacts is recorded for a single randomly selected week. The sample reveals a mean of 17 contacts and a variance of 9. Does the evidence contradict the vice-president’s claim?

Use  = 0.50.(20)
ASSIGNMENT No. 2
Total Marks: 100

This assignment is a research-oriented...