1. Let X be a continuous random variable that has a normal distribution with a m
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1. Let X be a continuous random variable that has a normal distribution with a mean of 25 standard deviation of 6. and a Find the probability that X assumes a value a. Between 29 and 36 b. Between 22 and 35 c. Greater than 22 d. Less than 35 2. Let X denote the time taken to run a road race. Suppose X is approximately normally distributed with a mean of 190 and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race a. in less than 160 minutes? b. in 215 to 245 minutes? 3. Let X be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation of 25. a. Find the value of X so that the area under the normal curve to the left of X is approximately.6330 b. Find the value of X so that the area under the normal curve to the right of X is approximately 0SExplanation / Answer
1. Let X be a continuous random variable that has a normal distribution with a mean of 25 standard deviation of 6. and a Find the probability that X assumes a value a. Between 29 and 36 b. Between 22 and 35 c. Greater than 22 d. Less than 35 2. Let X denote the time taken to run a road race. Suppose X is approximately normally distributed with a mean of 190 and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race a. in less than 160 minutes? b. in 215 to 245 minutes? 3. Let X be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation of 25. a. Find the value of X so that the area under the normal curve to the left of X is approximately.6330 b. Find the value of X so that the area under the normal curve to the right of X is approximately 0S
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