This set of MCQ(multiple choice questions) focuses on the **Data Analytics with Python NPTEL Week 2 Assignment Solutions**.

### Course layout (Answers Link)

** Week 1: Basics of Python Spyder**Week 2 : Introduction to probability

**Week 3 :**

*Sampling and sampling distributions*

**Week 4 :**

*Hypothesis testing*

**Week 5 : Two sample testing and introduction to ANOVA**

**Week 6 : Two way ANOVA and linear regression**

**Week 7 : Linear regression and multiple regression**

**Week 8 : Concepts of MLE and Logistic regression**

**Week 9 : ROC and Regression Analysis Model Building**

**Week 10 : c**

^{2}Test and introduction to cluster analysis**Week 11 : Clustering analysis**

**Week 12 : Classification and Regression Trees (CART)**

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### Data Analytics with Python NPTEL Week 2 Assignment Solutions

**Q1.** Which of the following is not a method for describing a sample space?

a) roster or listing

b) tree diagram

c) Offset builder notation

d) Venn diagram

**Answer:** c) Offset builder notation

**Q2.** A club of 4 is to be selected from a group of 12 people. How many possible clubs can be selected?

a) 395

b) 425

c) 495

d) 525

**Answer:** c) 495

**Q3.** Eight individuals are candidates for positions of president, vice president, and treasurer of an organization. How many possibilities of selections exist?

a) 300

b) 330

c) 336

d) 339

**Answer:** c) 336

**Q4.** A college plans to interview 8 students for possible offers of graduate assistantships. The college has three assistantships available. How many groups of three can the college select?

a) 126

b) 56

c) 136

d) 130

**Answer:** b) 56

**Q5.** company plans to interview 10 recent graduates for possible employment. The company has three positions open. How many groups of three can the company select?

a) 90

b) 100

c) 120

d) 130

**Answer:** c) 120

**Q6.** Individual outcome of an experiment is called?

a) the sample space

b) a sample point

c) an experiment

d) an individual

**Answer:** b) a sample point

**Q7.** Two events having nonzero probabilities

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) cannot be both mutually exclusive and independent

**Q8.** On an average 5 % items supplied by manufacturer X are defectives. If a batch of 10 items is inspected: what is the probability that 2 items are defective

a) 0.065

b) 0.075

c) 0.085

d) 0.095

**Answer:** b) 0.075

**Q9.** A question paper contains 90 multiple choice questions. There are 4 alternative answers (A, B, C or D) out of which only one is correct. Mr X answers these questions randomly (i.e. without preparation). What is the probability that X gets a score of at least 10 marks?

a) 0.9997

b) 0.7894

c) 0

d) 0.001

**Answer:** d) 0.001

**Q10.** State true or False: Statement: A distribution can either be discrete or continuous, it can’t be both at the same time.

a) True

b) False

**Answer:** True

### Previous Year Data Analytics with Python NPTEL Week 2 Assignment Solutions

**Q1.** A college plans to interview 8 students for possible offers of graduate assistant-ships. The college has three assistant-ships available. How many groups of three can the college select?

a) 126

b) 56

c) 136

d) 130

**Answer:** b) 56

**Q2.** Which of the following is each individual outcome of an experiment called?

a) the sample space

b) a sample point

c) an experiment

d) an individual

**Answer:** b) a sample point

**Q3.** Two events having nonzero probabilities

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) cannot be both mutually exclusive and independent

**Q4.** Ten individuals are candidates for positions of president, vice president of an organization. How many possibilities of selections exist?

a) 90

b) 100

c) 120

d) 130

**Answer:** a) 90

**Q5.** A standard normal distribution has:

a) Mean 1 and standard distribution 0

b) Mean 0.5 and standard distribution 0.5

c) Mean 0 and standard distribution 1

d) Mean 1 and standard distribution 1

**Answer:** c) Mean 0 and standard distribution 1

**Q6.** The weight of cows in a farm is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a cow weighing more than 241.25 pounds is:

a) 0.4505

b) 0.0495

c) 0.9505

d) 0.9010

**Answer:** b) 0.0495

**Q7.** The weight of cows in a farm is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. What is the probability of a cow weighing less than 250 pounds?

a) 0.4772

b) 0.9772

c) 0.0528

d) 0.5000

**Answer:** b) 0.9772

**Q8.** State True or False: Statement: Binomial and normal Distributions are discrete probability distributions

a) True

b) False

**Answer:** b) False

**Q9.** For a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is?

a) 0.50

b) 0.30

c) 100

d) 50

**Answer:** d) 50

**Q10.** State true or false. Statement: All mutually exclusive events are independent events

a) True

b) False

**Answer:** b) False

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