A race director is preparing for an upcoming marathon and estimates that the mean time to finish is 308 minutes. Assume that the times are normally distributed, with a standard deviation of 54 minutes. Use this table or the ALEKS calculator to find the percentage of times that are shorter than 281 minutes. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%). 1% X S

Q: The weights of men are normally distributed with a mean of 76 kg and a standard deviation of 8 kg…

A: Answer: From the given data, X follows normal distribution mean (μ) = 76 Standard deviation (σ) = 8…

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Q: Find the indicated area under the standard normal curve. Between z = - 1.03 and z = 1.03

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A: Assume the random variable x is normally distributed with mean = 90 and standard deviation a = 4.…

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Q: If n = 515 and p- hat = 0.72, find the margin of error at a 99% confidence level

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Q: Calculate the mean and variance for the binomial distribution, n=19, P =0.18

A: Answer: From the given data, Sample size(n) = 19 P = 0.18    and   q = 1 - p = 1 - 0.18 = 0.82

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Q: Find the indicated area under the standard normal curve. Between z = - 2.23 and z = 2.23

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A:

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