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In: Statistics and Probability

In the following problem, check that it is appropriate to use the normal approximation to the...

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. It is known that 82% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 69 new products, find the following probabilities. (Round your answers to four decimal places.) (a) within 2 years 47 or more fail

(b) within 2 years 58 or fewer fail

(c) within 2 years 15 or more succeed

(d) within 2 years fewer than 10 succeed

Solutions

Expert Solution

Answer:

Given that:

Then use the normal distribution to estimate the requested probabilities. It is known that 82% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 69 new products

standard deviation () =

(a) within 2 years 47 or more fail

(b) within 2 years 58 or fewer fail

standard deviation () =

(c) within 2 years 15 or more succeed

(d) within 2 years fewer than 10 succeed

orchestra answered 2 years ago
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