NMIMS Solved Assignment Quantitative Methods-I Sept 2025: Unique

NMIMS Solved Assignment Quantitative Methods-I Sept 2025

NMIMS Solved Assignment Quantitative Methods-I Sept 2025:  [Unique]

Assignment Marks: 20
Instructions
PLEASE NOTE: This assignment is application based, you have to apply what you have
learnt in this subject into real life scenario. You will find most of the information through
internet search and the remaining from your common sense. None of the answers appear
directly in the textbook chapters but are based on the content in the chapter
NMIMS Centre for Distance and Online Education (NCDOE)
Course: Quantitative Methods – I
Internal Assignment Applicable for Sept 2025 Examination
l All Questions carry equal marks
l All Questions are compulsory
l All answers to be explained in not more than 1000 words for question Q1 and for question Q2(A)
and Q2(B) in not more than 500 words for each subsection. Use relevant examples, illustrations as
far as possible
l All answers to be written individually. Discussion and group work is not advisable.
l Students are free to refer to any books/reference material/website/internet for attempting their
assignments, but are not allowed to copy the matter as it is from the source of reference.
l Students should write the assignment in their own words. Copying of assignments from other
students is not allowed
l Students should follow the following parameter for answering the assignment questions

Q. 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)
Discuss the effect of increasing the sample size to 100 on the standard error and
the probability calculation. (3 Marks)
3. Discuss the effect of increasing the sample size to 100 on the standard error and
the probability calculation. (3 Marks)
(10 Marks)

Q2 (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)
Q2 (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)
(5 Marks)