The Wall Street Journal reported that approximately 25% of the people who are told a product is improved will believe that it is, in fact, improved. The remaining 75% believe that this is just hype (the same old thing with no real improvement). Suppose a marketing study consists of a random sample of ten people who are given a sales talk about a new, improved product.   (a) Make a histogram showing the probability that r = 0 to 10 people believe the product is, in fact, improved. (b) Compute the mean and standard deviation of this probability distribution. (Round your standard deviation to two decimal places.) ? =  people ? =  people (c) What is the smallest number of people needed in the marketing study to be at least 99% sure that at least one person believes the product to be improved? (Hint: Note that P(r ≥ 1) = 0.99 is equivalent to 1 − P(0) = 0.99, or P(0) = 0.01.)  people

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The Wall Street Journal reported that approximately 25% of the people who are told a product is improved will believe that it is, in fact, improved. The remaining 75% believe that this is just hype (the same old thing with no real improvement). Suppose a marketing study consists of a random sample of ten people who are given a sales talk about a new, improved product.

 
(a) Make a histogram showing the probability that r = 0 to 10 people believe the product is, in fact, improved.
(b) Compute the mean and standard deviation of this probability distribution. (Round your standard deviation to two decimal places.)
? =  people
? =  people

(c) What is the smallest number of people needed in the marketing study to be at least 99% sure that at least one person believes the product to be improved? (Hint: Note that P(r ≥ 1) = 0.99 is equivalent to 1 − P(0) = 0.99, or P(0) = 0.01.)
 people
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