Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)
(a) All of them dislike their mother-in-law.

Incorrect: Your answer is incorrect.

(b) None of them dislike their mother-in-law.

(c) At least four of them dislike their mother-in-law.

(d) No more than three of them dislike their mother-in-law.

Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning.

We have to find the probability

Probability all dislike is

[tex]0.85^8= 0.27[/tex]

What is the probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

The probability that none dislike is,

[tex]0.15^8= 2.6 \times 10^{(-7)}[/tex]

At least 5 dislike

5 dislike 8C5

[tex](0.85)^5(0.15)^3= 0.0839[/tex]

6 dislike 8C6

[tex](0.85^6 0.15)^2= 0.2376[/tex]

7 dislike

[tex]8*(0.85^7) (0.15)=0.3848[/tex]

8 dislike

[tex]0.85^8= 0.2725[/tex]

Therefore the probability is equal to 0.9788.

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