# Data Analytics with Python | NPTEL | Week 3 Assignment Solutions

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### Course layout

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 : c2 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 3 Assignment Solutions

Q1. Sate True or False: Statement: The specific value of a random variable is called estimator

a) True
b) False

Q2. If the true proportion of customers who are below 100 kg weight is 0.4, what is the probability that a sample size 100 yields a sample proportion between 0.3 to 0.4

a) 0.961
b) 0.827
c) 0.706
d) 0.479

Q3. Stratified random sampling is a method of selecting a sample in which

a) the sample is first divided into strata, and then random samples are taken from each stratum
b) various strata are selected from the sample
c) the population is first divided into strata, and then random samples are drawn from each stratum
d) None of these alternatives is correct.

Q4. The Poisson probability distribution is which of the following type?

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

Q5. Assuming 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

Data Analytics with Python NPTEL Week 1 Assignment Solutions

Q6. A hypergeometric probability distribution is identical to

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

Q7. Why one should not go for sampling?

a) Less costly to administer than a census.
b) The person authorizing the study is comfortable with the sample.
c) Because the research process is sometimes destructive
d) None of the above

Data Analytics with Python NPTEL Week 1 Assignment Solutions

Q8. A car distributor in city Y experiences on an average 2.5 car sales per day. Find the probability that on a randomly selected day, they will sell 5 car:

a) 0.0668
b) 0.544
c) 0.082
d) 0.205

Data Analytics with Python NPTEL Week 1 Assignment Solutions

Q9. In question 8, Find the probability that on a randomly selected day, they will sell no cars:

a) 0.0668
b) 0.544
c) 0.082
d) 0.205

Q10. In question 8, Find the probability that on a randomly selected day, they will sell at most 2 cars

a) 0.0668
b) 0.544
c) 0.082
d) 0.205

Data Analytics with Python NPTEL Week 1 Assignment Solutions

### Previous Year Data Analytics with Python NPTEL Week 3 Assignment Solutions

Q1. State True or False:
Statement: The specific value of a random variable is called estimator

a) True
b) False

Q2. If the true proportion of customers who are below 20 years is P=0.35, what is the probability that a sample size 100 yields a sample proportion between 0.3 to 0.4

a) 0.961
b) 0.827
c) 0.706
d) 0.53

Q3. Stratified random sampling is a method of selecting a sample in which

a) the sample is first divided into strata, and then random samples are taken from each stratum
b) various strata are selected from the sample
c) the population is first divided into strata, and then random samples are drawn from each stratum
d) None of these alternatives is correct

Answer: c) the population is first divided into strata, and then random samples are drawn from each stratum

Q4. State True or False:
Statement: A population is a set of all items or individual of interest

a) True
b) False

Data Analytics with Python NPTEL Week 3 Assignment Solutions

Q5. 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

Q6. 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

Q7. A car distributor in city Y experiences on an average 2.5 car sales per day. Find the probability that on a randomly selected day, they will sell  5 car:

a) 0.0668
b) 0.544
c) 0.082
d) 0.205

Data Analytics with Python NPTEL Week 3 Assignment Solutions

Q8. A car distributor in city Y experiences on an average 2.5 car sales per day. Find the probability that on a randomly selected day, they will sell  no car:

a) 0.0668
b) 0.544
c) 0.082
d) 0.205

Q9. A random sample of 100 people shows that 25 of them are females and rest are males. Form a 95% confidence interval for the true proportion of females. The lower limit of this interval will be:

a) 0.150
b) 0.145
c) 0.165
d) 0.175

Q10. A random sample of 100 people shows that 25 of them are females and rest are males. Form a 95% confidence interval for the true proportion of females. The upper limit of this interval will be:

a) 0.150
b) 0.165
c) 0.465
d) 0.335

Data Analytics with Python NPTEL Week 3 Assignment Solutions

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