Probability And Statistics | Week 8
Course Name: Probability And Statistics
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These are Probability And Statistics Week 8 Assignment 8 Answers
Q1. The distance, in meters for eight throws of a shotputter are shown below
15.92,16.27,15.41,18.48,17.28,14.98, 15.85
Calculate sample mean and sample standard deviation.
(A) 16.31,1.11
(B) 16.31,1.19
(C) 16.31,1.43
(D) 16.31,1.22
Answer: (B) 16.31,1.19
Q2. Consider the following frequency table.
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Calculate the median.
(A) 37.95
(8) 51.21
(C) 31.56
(D) 38.13
Answer: (D) 38.13
These are Probability And Statistics Week 8 Assignment 8 Answers
Q3. Suppose X,Y, Z are three independent chi-square random variables with 1,4,9 degrees of freedom respectively, then distribution of X + Y + Z is _________.
(A) X2(15)
(B) N(0,14)
(C) X2(14)
(D) X2(12)
Answer: (C) X2(14)
Q4. What is the median of the following dataset
31,6,12,27,17,15,21,13,2
(A) 15
(B) 17
(C) 16
(D) 2
Answer: (A) 15
These are Probability And Statistics Week 8 Assignment 8 Answers
Q5. Calculate the mode of question 2.
(A) 33.19
(B) 36.81
(C) 36.19
(D) 33.81
Answer: (C) 36.19
Q6. Consider the following data
A : 200 300 500 700 900
B : 100 150 270 800 500
Suppose CVA and CVB denote the coefficient of variations of set A and set B respectively. Select the correct statement(s).
(A) CVA > CVB
(B) CVB > CVA
(C) Mean of set A > Mean of set B
(D) Mean of set A< Mean of set B
Answer: b, c
These are Probability And Statistics Week 8 Assignment 8 Answers
Q7. Suppose the observations are arranged in ascending order and given as
15 x 21 x+10 30 39
Find x if median of the set is 24.
(A) 27
(B) 22
(C) 17
(D) 20
Answer: (C) 17
Q8. Consider the following grouped data
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Find mode.
(A) 54.32
(B) 53.68
(C) 49.32
(D) 48.68
Answer: (D) 48.68
These are Probability And Statistics Week 8 Assignment 8 Answers
Q9. Here are measurements of photoresist thickness for eight wafers baked at two different temperatures. Find the standard deviation on the difference in thickness.
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(A) 2.2197
(B) 3.075
(C) 3.56
(D) 5.21
Answer: (A) 2.2197
Q10. The runs scored in a cricket match by 11 players are as follows
5,15,115,17,71,29,62,2,15,15,1
The (mean, median, mode) is _______.
(A) (31.5,15,15)
(B) (31.5,17,15)
(C) (49.5,29,15)
(D) (35.5,29,15)
Answer: (A) (31.5,15,15)
These are Probability And Statistics Week 8 Assignment 8 Answers
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These are Probability And Statistics Week 8 Assignment 8 Answers
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