Quantitative Analysis for Managerial Applications
ASSIGNMENTS
Course Code : MS 08
Course Title : Quantitative Analysis for Managerial Applications
Assignment No. : MS-08/TMA/SEM-I/2013
Coverage : All Blocks
Note : Attempt all the questions and submit this assignment on or before 30th April, 2013 to the coordinator of your study center.
1. A sum of `8550 is to be paid in 15 installments where each installment is `10 more than the previous installment. Find the first installment and the last installment.
Let x = the first payment.
The sequence of 15 payments is
(1) x, x+10, x+20, x+30, ... , x+140
The sum of these 15 payments is
(2) 15x + 10*(14*15/2) or
(3) 15x + 1050
Now set (3) equal to the total sum to be made and get
(4) 15x + 1050 = 8550 or
(5) 15x = 7500 or
(6) x = 500
The last payment in (1) is x + 140 or
(7) 15th = 640
Answer: The first payment is $500 and the last payment is $640.
I'll leave it to you to add up the sequence of (1) to "prove" that our answer is right. LOL
2. A salesman is known to sell a product in 3 out of 5 attempts. While another salesman in 2 out of 5 attempts. Find the probability that
a. No sales will happen
b. Either of them will succeed in selling the product
Let A be the event that the first salesman will sell the product and B be the event that the second salesman will sell the product.
Given
(1) Probability that no sales will happen = P(A') × P(B') (2) Probability that either of the salesman will succeed in selling the product = P(A') × P(B) + P(A) × P(B')
3. A hundred squash balls are tested by dropping from a height of 100 inches and measuring the height of the bounce. A ball is “fast” if it rises above 32 inches. The average height of bounce was 30 inches and the standard deviation was ¾ inches. What is the chance of getting a “fast” standard ball?
T otal no. of observations N = 100
Mean,μ = 30inches
Standard deviation, σ=3/4 inches=0.75 inches
Suppose 'x' is the normal variable=32 inches
4. Explain
Course Code : MS 08
Course Title : Quantitative Analysis for Managerial Applications
Assignment No. : MS-08/TMA/SEM-I/2013
Coverage : All Blocks
Note : Attempt all the questions and submit this assignment on or before 30th April, 2013 to the coordinator of your study center.
1. A sum of `8550 is to be paid in 15 installments where each installment is `10 more than the previous installment. Find the first installment and the last installment.
Let x = the first payment.
The sequence of 15 payments is
(1) x, x+10, x+20, x+30, ... , x+140
The sum of these 15 payments is
(2) 15x + 10*(14*15/2) or
(3) 15x + 1050
Now set (3) equal to the total sum to be made and get
(4) 15x + 1050 = 8550 or
(5) 15x = 7500 or
(6) x = 500
The last payment in (1) is x + 140 or
(7) 15th = 640
Answer: The first payment is $500 and the last payment is $640.
I'll leave it to you to add up the sequence of (1) to "prove" that our answer is right. LOL
2. A salesman is known to sell a product in 3 out of 5 attempts. While another salesman in 2 out of 5 attempts. Find the probability that
a. No sales will happen
b. Either of them will succeed in selling the product
Let A be the event that the first salesman will sell the product and B be the event that the second salesman will sell the product.
Given
(1) Probability that no sales will happen = P(A') × P(B') (2) Probability that either of the salesman will succeed in selling the product = P(A') × P(B) + P(A) × P(B')
3. A hundred squash balls are tested by dropping from a height of 100 inches and measuring the height of the bounce. A ball is “fast” if it rises above 32 inches. The average height of bounce was 30 inches and the standard deviation was ¾ inches. What is the chance of getting a “fast” standard ball?
T otal no. of observations N = 100
Mean,μ = 30inches
Standard deviation, σ=3/4 inches=0.75 inches
Suppose 'x' is the normal variable=32 inches
4. Explain