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What is the expected value of this distribution?(b) Find . (Enter your answer to two decimal places.) = syringesWhat is the expected number of defective syringes the inspector will find? (Enter your answer to two decimal places.) syringes(c) What is the probability that the batch will be accepted? (Round your answer to three decimal places.)(d) Find . (Round your answer to three decimal places.) = syringesLet us say you are a market research person who interviews a random sample of10 households.(a) Suppose you interview 10 households with children under the age of 2 years. Let r represent the number of such households that buy film. Make a histogram showing the probability distribution of r for r = 0 through r = 10.Find the mean and standard deviation of this probability distribution. (Round your answers to two decimal places.)(b) Suppose that the 10 households are chosen to have no children under 21 years old. Let r represent the number of such households that buy film. Make a histogram showing the probability distribution of r for r = 0 through r = 10.Find the mean and standard deviation of this probability distribution. (Round your answers to two decimal places.)(c) Compare the distributions in parts (a) and (b). You are designing TV ads to sell film. Could you justify featuring ads of parents taking pictures of toddlers? Explain your answer.Yes. It appears that households with no children under 21 are more likely to buy film.No. It appears that households with children under 2 are more likely to buy film.No. It appears that households with no children under 21 are more likely to buy film.Yes. It appears that households with children under 2 are more likely to buy film.

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