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Month Wise Foreign Tourist Arrivals in India (january 2003- December 2015)

Autor:   •  November 22, 2018  •  1,804 Words (8 Pages)  •  569 Views

Page 1 of 8

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- What is the probability that a randomly selected viewer will rate the new show below average or worse?

Ans. The probability that a randomly selected viewer will rate the show as average or worse is 0.24

Page 209/Q-50

A survey showed that 8% of Internet users age 18 and older report keeping a blog. Referring to the 18-29 age group as young adults, the survey showed that for bloggers 54% are young adults and for non-bloggers 24% are young adults.

- Develop a joint probability table for these data with two rows and two columns

Young Adults(a)

Adults(b)

Total

Bloggers (x1)

0.0432

0.0368

0.08

Non-Bloggers(x2)

0.2208

0.6992

0.92

Total

0.264

0.736

1

Ans.

- What is the probability that an Internet user is a young adult?

Ans. P(Internet user is a young adult)= 0.264

- What is the probability that an internet user keeps a blog and is a young adult?

Ans. P(internet user keeps a blog and is a young adult) = 0.0432

- Suppose that in a follow-up phone survey we contact someone who is 24 years old. What is the probability that this person keeps a blog?

Ans. Probability = 0.163636364[pic 5]

Question 3.

Combination 1 (n = 5, x = 1, range for p = [0.1, 0.6]

p

0.1

0.2

0.3

0.4

0.5

0.6

Prior

0.05

0.15

0.2

0.3

0.2

0.1

[pic 6]

Combination 2 (n = 10, x = 2, range for p = [0.1, 0.9]

p

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

Prior

0.05

0.15

0.19

0.1

0.14

0.1

0.07

0.11

0.09

[pic 7]

Combination 3 (n = 15, x = 3, range for p = [0.3, 0.6]

p

0.3

0.35

0.4

0.45

0.5

0.55

0.6

Prior

0.08

0.15

0.18

0.22

0.2

0.11

0.05

[pic 8]

Combination 4 (n = 20, x = 4, range for p = [0.2, 0.9]

p

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

Prior

0.05

0.02

0.15

0.23

0.15

0.08

0.21

0.11

[pic 9]

Combination 5 (n = 25, x = 1, range for p = [0.2, 0.9]

p

0.2

0.25

0.3

0.35

Prior

0.05

0.3

0.4

0.25

[pic 10]

Therefore, it can be observed for any combination of (n,x) where the ratio of x/n is same there is no significant change in

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