Solve the following problems completely Round off answers to

Solve the following problems completely. Round off answers to four decimal places whenever applicable.

1) In a newspaper poll concerning violence on television, 600 people were asked “What is your opinion of the amount of violence on prime time television? Is there too much violence on television?” Their responses are indicated in the table below.

A. What is the probability that a respondent chosen at random

i. is a female?

ii. responded Don’t know?

iii. is a female and responded Yes?

iv. is a female or responded Yes?

v. responded Yes or No?

B. Suppose that the respondent chosen at random is a male, what is the probability that he responded No?

C. Suppose that the respondent chosen at random responded Yes, what is the probability that the

respondent is a male?

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i need the answer for all the question

Response Total Gender Yes No Don\'t know 162 280 820 600 95 23 19 42 95 Male Female 256 Total 45 418 140

Solution

A.

i)

P(F) = 320/600 = 0.533333333 [ANSWER]

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ii)

P(Don\'t know) = 42/600 = 0.07 [ANSWER]

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iii)

P(F and Y) = 256/600 = 0.426666667 [ANSWER]
*******

iv)

P(F or Y) = (256+45+19+162)/600 = 0.803333333 [ANSWER]

*******

v)

P(Y or N) = (418+140)/600 = 0.93 [ANSWER]

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B)

P(N|M) = 95/280 = 0.339285714 [ANSWER]

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C)

P(M|Y) = 162/418 = 0.387559809 [ANSWER]