**NPTEL Data Science for Engineers Assignment 3 Answers 2022:-** All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

## NPTEL Data Science for Engineers Assignment 3 Answers 2022 [July 2022]

**1. Let X and Y be two independent random variables with Var(X)Var(X) = 9 and Var(Y)Var(Y) =3, find Var(4X−2Y+6)Var(4X−2Y+6) **

a. 100

b. 140

c. 156

d. None of the above

Answer:-

**2. Calculate the standard error of sample mean using the following data n=14,μ=18.5,X¯=17.85,S=1.95n=14,μ=18.5,X¯=17.85,S=1.95**

a. 0.52

b. 0.81

c. 0.23

d. None of the above

Answer:-

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**3. The correlation coefficient of two random variable X and Y is −14−14 , their variance is given by 3 and 5. Compute Cov(X,Y)Cov(X,Y)**

a. -0.854

b. 0.561

c. -0.968

d. None of the above

Answer:-

**4.Find the t-statistic for the sample data given that the population mean of the distribution is 8.**

a. 3.93

b. 1.44

c. –8.33

d. None of the above

Answer:-

**5.Find F-statistic for the following sample sets generated from the same distribution**

a. 0.14

b. 1.47

c. 4.46

d. None of the above

Answer:-

**6. Find the F–statistic for the following sample sets generated from the distributions with population variances 3 and 7 respectively**

a. 6.88

b. 0.73

c. 4.36

d. None of the above

Answer:-

👇**For Week 04 Assignment Answers**👇

**7. When will you reject the Null hypothesis?**

a. p value greater than α

b. p value less than α

c. p value equal to α

d. None of the above

Answer:-

**8. A standard normal density function is shown below. The area of the shaded region is**

a. 0.046

b. 0.977

c. 0.954

d. None of the above

Answer:-

**9. A talent exam is conducted annually which has a mean score of 200 and a standard deviation of 30. If a student’s Z-score is 1.50, what was his score in the exam?**

a. 245

b. 170

c. 230

d. None of the above

Answer:-

**10. A car company purchases engine blocks from suppliers A, B, and C. Out of the 100 units supplied by A, two units were found to be defective. Similarly, out of 200 and 300 units supplied by B and C, the number units found to be defective were 10 and 15 respectively. If a quality control person of the car company picks up a block and if the selected block is from A, what is the probability that the block is defective?**

a. 0.020

c. 0.35

c. 0.33

d. None of the above

Answer:-

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## What is Data Science for Engineers?

Data Science for Engineers is a fun-filled course where Domain Certification helps learners to gain expertise in a specific Area/Domain. This can be helpful for learners who wish to work in a particular area as part of their job or research or for those appearing for some competitive exam or becoming job-ready or specialising in an area of study. Every domain will comprise Core courses and Elective courses. Once a learner completes the requisite courses per the mentioned criteria, you will receive a Domain Certificate showcasing your scores and the domain of expertise.

**CRITERIA TO GET A CERTIFICATE**

Average assignment score = 25% of the average of best 6 assignments out of the total 8 assignments given in the course.

Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

**YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF THE AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.**

COURSE NAME | ANSWER |

NPTEL Data Science for Engineers Assignment 1 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 2 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 3 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 4 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 5 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 6 Answers | NA |

NPTEL Data Science for Engineers Assignment 7 Answers | NA |

NPTEL Data Science for Engineers Assignment 8 Answers | NA |

## NPTEL Data Science for Engineers Assignment 3 Answers [Jan 2022]

**Q1. If A and B are two events such that P(A∪B)=34,P(A∩B)=14,P(ˉA)=23,then P(ˉA|B) is**

(A) 3/4

(B) 5/8

(C) 3/8

(D) None of the above

**Answer:- (B) 5/8**

**Q2. State whether the following statements are true or false.**

I. The *t* distribution ranges from −∞ to ∞

II. The *t* distribution is symmetrical and has a mean zero

(A) I – True, II – True

(B) I – True, II – False

(C) I – False, II – False

(D) None of the above

**Answer:- (A) I – True, II – True **

**Q3. Let X and Y be two independent random variables with Var(X)=9 and Var(Y)=3, find Var(4X−2Y+6)**

(A) 100

(B) 140

(C) 156

(D) None of the above

**Answer:- (C) 156 **

**Q4. Calculate the standard error of sample mean using the following data**

**Answer:- (A) 0.54**

**Q5. The correlation coefficient of two random variable X and Y is −14 , their variance is given by 3 and 5. Compute Cov(X,Y)**

(A) -0.854

(B) 0.561

(C) -0.968

(D) None of the above

**Answer:-** **d**

**Q6.** If *X*∼Bin(*n*,*p*), then the standard error of *p* is

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**Q7.** A standard normal density function is shown below. The area of the shaded region is

(A) 0.046

(B) 0.977

(C) 0.954

(D) None of the above

**Answer:- (C) 0.954 **

**Q8.** The value of the correlation coefficient lies between:

(A) −∞ to ∞

(B) −1 to 1

(C) 0 to 1

(D) 0 to ∞

**Answer:- (B) −1 to 1**

**Q9.** When will you reject the Null hypothesis?

(A) p value greater than α

(B) p value less than α

(C) p value equal to α

(D) None of the above

**Answer:- (B) p value less than α**

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**NPTEL Data Science for Engineers Assignment 3 Answers 2022:-** All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

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