Given the following table summarizing the responses of 270 people to toe question 'which evening news program do you watch most often':ViewersABCNBCCBSOtherTotalMen30204055145Women50102045125Total803060100270 If one of these individuals is selected at random, what is the probability that the person watches:a station other than CBS, given that they are a womanNBC or CBS, given that the individual is a man

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Asked Nov 1, 2019
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Given the following table summarizing the responses of 270 people to toe question 'which evening news program do you watch most often':

Viewers ABC NBC CBS Other Total
Men 30 20 40 55 145
Women 50 10 20 45 125
Total 80 30 60 100 270

 

If one of these individuals is selected at random, what is the probability that the person watches:

  • a station other than CBS, given that they are a woman
  • NBC or CBS, given that the individual is a man
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Expert Answer

Step 1

According to the provided data,

Total viewers = 270

Men = 145

Women = 125

Consider the events as:

A: Watching ABC

C: Watching CBS

W: Viewer to be woman

M: Viewer to be man

Step 2

The probability that the person watches a station ot...

P(cnw)
P(CI)
P(W)
50 10+45
270
125
270
105
125
0.84
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P(cnw) P(CI) P(W) 50 10+45 270 125 270 105 125 0.84

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