Question: 13 X is a normally distributed random variable with a mean of 4 0 . Find the standard deviation of the distribution if 59 1096

13 X is a normally distributed random variable with a mean of 4 0 . Find the standard deviation of the distribution if 59 1096 of the data lies to the right of 3 20 . ( Note : the diagram is not necessarily to scale . Ans: 3514 The average age of vehicles registered in the United States is 96 months Assume the population is normally distributed with a standard deviation of 15 months a ) Find the probability that the mean age of a sample of 36 vehicles is between 98 and 100 months ? Ans : 15 79 b ) Find the standard error of the mean of this population Ans : 25

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