Description
Quantitative Methods – I
NMIMS Internal Assignment
June 2025 Examination
Question 1: From a large batch of batteries, a sample of size 50 is drawn. The average lifespan of the batteries is 1200 hours with a standard deviation of 200 hours.
1. Find the probability that the mean lifespan of the sample is less than 1150 hours. (3 Marks).
2. Calculate the 95% confidence interval for the sample mean lifespan. (4 Marks)
3. Discuss the effect of increasing the sample size to 100 on the standard error and the probability calculation. (3 Marks)
(10 Marks)
Question 2 (A): A deck of cards contains 10 red and 6 black cards. If two cards are randomly drawn without replacement, what is the probability that both cards drawn are black?
What is the probability that at least one of the two cards drawn is red? Total 5 Marks
(5 Marks)
Question 2 (B) A milling machine is set to produce rods that have an average length of 15.00 cm. The machine is known to have a standard deviation () of 0.3 cm. The customer specifies the rod length to be within 14.80 cm and 15.20 cm.
What is the acceptance percentage given the setting and age of the machine (age determines the standard
deviation)? (5 Marks)
Assignment Marks: 20
