SOLUTION: Sociologists believe that 80% of married women claim to dislike their mother-in-law as she is the main reason for arguments in their marriages. Suppose that eight married women g

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Question 1125104: Sociologists believe that 80% of married women claim to dislike their mother-in-law as she is the main reason for arguments in their marriages.
Suppose that eight married women get together for lunch.
1.1) What is the probability that all of them dislike their mother-in-law (rounded off to three decimals)? [1]
1.2) What is the probability that at most two of the married women like their mother-in-law (rounded off to three decimals)? [4.5]
1.3) What is the probability that more than four but less than seven married women dislike their mother-in-law (rounded off to three decimals)? [3]
1.4) Calculate the standard deviation for a group of 555 married women who dislike their mother-in-law (rounded off to zero decimals)? [1.5]

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
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Sociologists believe that 80% of married women claim to dislike their mother-in-law as she is the main reason for arguments in their marriages.
Suppose that eight married women get together for lunch.
1.1) What is the probability that all of them dislike their mother-in-law (rounded off to three decimals)
1.2) What is the probability that at most two of the married women like their mother-in-law (rounded off to three decimals)
1.3) What is the probability that more than four but less than seven married women dislike their mother-in-law (rounded off to three decimals)?
1.4) Calculate the standard deviation for a group of 555 married women who dislike their mother-in-law (rounded off to zero decimals)?
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1.1)  What is the probability that all of them dislike their mother-in-law (rounded off to three decimals)?

      0.8%5E8 = 0.1678.



1.2)  What is the probability that at most two of the married women like their mother-in-law


      {at most 2 like}  means  {0,  1  or 2 like} . . . 

      0.8%5E8+%2B+C%5B8%5D%5E1%2A0.8%5E7%2A0.2%5E1+%2B+C%5B8%5D%5E2%2A0.8%5E6%2A0.2%5E2 = 0.8%5E8+%2B+8%2A0.8%5E7%2A0.2%5E1+%2B+28%2A0.8%5E6%2A0.2%5E2 = 0.7969   (rounded)



1.3)  What is the probability that more than four but less than seven married women dislike their mother-in-law


     {more than 4 but less than 7 dislike} is equivalent to {5 or 6  dislike} 

     C%5B8%5D%5E5%2A0.8%5E5%2A0.2%5E3+%2B+C%5B8%5D%5E6%2A0.8%5E6%2A0.2%5E2 = 56%2A0.8%5E5%2A0.2%5E3+%2B+28%2A0.8%5E6%2A0.2%5E2 = 0.4404   (rounded)

I hope that other tutors will complete #1.4).