Suppose that X is a random variable that is normally distributed with µ = 42 and σ = 3. (a) Draw a picture that shows

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Suppose that X is a random variable that is normally distributed withµ = 42 and σ = 3.(a) Draw a picture that shows P(37 < X < 43) as the area under a normal curve.(b) Transform X to a standard normal random variable, z.(c) Draw a picture that shows the corresponding standard normal probability as thearea under a standard normal curve.(d) Compute the value of P(37 < X < 43).