A) The quality-control inspector of a production plant will reject

a batch of syringes if two or more defective syringes are found in a random sample of six syringes taken from the batch. Suppose the batch contains 1% defective syringes.
(a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, …, 5 and 6 defective syringes in a random sample of six syringes. (Select the correct graph.)

Find σ (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)
σ =  ?

B) 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. (For each answer, enter a number. Round your answers to three decimal places.)

What is the probability that At least four of them dislike their mother-in-law?