Question 1: A binomial distribution has p = 0.21 and n = 94. Use the normal approximation...

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Statistics

Question 1:

A binomial distribution has p = 0.21 and n = 94. Use the normalapproximation to the binomial distribution to answer parts (a)through (d) below. Round to four decimal places as needed.)

a. What are the mean and standard deviation for thisdistribution?

b. What is the probability of exactly 15 successes?

c. What is the probability of 13 to 21 successes?

d. What is the probability of 9 to 17 successes?

Question 2:

The average number of miles driven on a full tank of gas in acertain model car before its low-fuel light comes on is 331. Assumethis mileage follows the normal distribution with a standarddeviation of 44 miles. Complete parts a through d below. (Round tofour decimal places as needed.)

  1. What is the probability that, before the low-fuel light comeson, the car will travel less than 361 miles on the next tank ofgas?
  2. What is the probability that, before the low-fuel light comeson, the car will travel more than 280 miles on the next tank ofgas?
  3. What is the probability that, before the low-fuel light comeson, the car will travel between 301 and 321 miles on the next tankof gas?
  4. What is the probability that, before the low-fuel light comeson, the car will travel exactly 353 miles on the next tank ofgas?

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1 n 021 p 94a mean    See Answer
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