Data Analytics with Python Week 2 NPTEL Assignment Answers

Looking for the most accurate answers for Data Analytics with Python Week 2 NPTEL Assignment Answers of Probability and Statistics? Here’s a detailed breakdown of all questions, answers, and their explanations.

NPTEL Data Analytics with Python Week 2 Assignment Answers

1. Which of the following is each individual outcome of an experiment called?

Options:
a) the sample space
b) a sample point
c) an experiment
d) an individual

Answer: ✅ b
Explanation:
Each individual outcome of an experiment is called a sample point. The collection of all sample points forms the sample space.

2. A process that generates well-defined outcomes is called as?

Options:
a) an event
b) an experiment
c) a sample point
d) a sample space

Answer: ✅ b
Explanation:
An experiment is a process that leads to well-defined outcomes, like tossing a coin or rolling a die.

3. Two events having nonzero probabilities

Options:
a) can be both mutually exclusive and independent
b) cannot be both mutually exclusive and independent
c) are always mutually exclusive
d) are always independent

Answer: ✅ b
Explanation:
Two events with non-zero probability cannot be both mutually exclusive and independent, as mutually exclusive events cannot occur simultaneously.

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4. A normal distribution with a standard deviation of 1 and mean of 0 is defined as?

Options:
a) a probability density function
b) an ordinary normal curve
c) a standard normal distribution
d) None of these alternatives is correct

Answer: ✅ c
Explanation:
A standard normal distribution has a mean (μ) = 0 and standard deviation (σ) = 1.

5. In a standard normal probability distribution, the area to the left portion of the mean is equal to?

Options:
a) -0.5
b) 0.5
c) any value between 0 and 1
d) 1

Answer: ✅ b
Explanation:
In a standard normal curve, the mean divides the distribution into two equal halves, so area to the left is 0.5.

6. The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing more than 241.25 pounds is

Options:
a) 0.4505
b) 0.0495
c) 0.9505
d) 0.9010

Answer: ✅ b
Explanation:
Z = (241.25 – 200) / 25 = 1.65.
From Z-table, P(Z > 1.65) = 0.0495.

7. Refer to Q6. The probability of a player weighing less than 250 pounds is

Options:
a) 0.4772
b) 0.9772
c) 0.0528
d) 0.5

Answer: ✅ b
Explanation:
Z = (250 – 200) / 25 = 2
From Z-table, P(Z < 2) = 0.9772.

8. The Poisson probability distribution is which of the following type?

Options:
a) Continuous probability distribution
b) Discrete probability distribution
c) Uniform probability distribution
d) Normal probability distribution

Answer: ✅ b
Explanation:
Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval.

9. Assuming a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is?

Options:
a) 0.5
b) 0.3
c) 100
d) 50

Answer: ✅ d
Explanation:
Expected value E(X) = n × p = 100 × 0.5 = 50

10. The hypergeometric probability distribution is identical to

Options:
a) the Poisson probability distribution
b) the binomial probability distribution
c) the normal distribution
d) None of these alternatives is correct

Answer: ✅ d
Explanation:
Hypergeometric distribution is not identical to any of these; it deals with probabilities without replacement, unlike binomial or Poisson.

✅ Conclusion
These are the correct and verified answers for Week 2 of the Probability and Statistics NPTEL assignment. Use them as a reference to better understand key statistical concepts.

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