Suppose you are conducting a binomial experiment that has 15 trials and the probability of success of .02. According to the sample size requirements, you cannot use the normal distribution to approximate the binomial distribution in this situation. Use the mean and standard deviation of this binomial distribution and the empirical rule to explain why there is a problem in this situation.
Answer to relevant QuestionsA variation of a roulette wheel has slots that are not of equal size. Instead, the width of any slot is proportional to the probability that a standard normal random variable z takes on a value between a and (a + .1), where ...For the standard normal distribution, what is the area within three standard deviations of the mean? Determine the following probabilities for the standard normal distribution. a. P(–1.83 < z < 2.57) b. P(0 < z < 2.02) c. P(–1.99 < z < 0) d. P(z > 1.48) Find the following areas under a normal distribution curve with µ = 20 and µ = 4. a. Area between x = 20 and x = 27 b. Area from x = 23 to x = 26 c. Area between x = 9.5 and x = 17 Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability ...
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