Mathematics, 01.02.2021 21:50, ecletcicbeauty946

3. Two 5-year old girls, Alyse and Jocelyn, have been training to run a 1 mile race. Alyse’s 1-mile time A is approximately Normally distributed with a mean of 13.5 minutes and a standard deviation of 2.5 minutes. Jocelyn’s 1-mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 mile race on a randomly selected day? Use the following steps to help you solve this problem

a) Find the difference (D) between the mean

b) Find the difference (D) between the standard deviation

c) Draw the normal distribution with the differences

d) Find P(D<0)

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3. Two 5-year old girls, Alyse and Jocelyn, have been training to run a 1 mile race. Alyse’s 1-mile...