Question: Please provide explanation for study purposes. (6 points) The automatic opening device of a military cargo parachute has been designed to open when the parachute
Please provide explanation for study purposes.

(6 points) The automatic opening device of a military cargo parachute has been designed to open when the parachute reaches a certain height above the ground. In their extensive tests they found out that the height at which the parachute opens is in fact a normal random variable, but due to a computer error they no longer have the parameters. (a) What is the probability that a randomly selected chute will open within 1.5 standard deviations of the average height? (2 points) (b) What is the probability that a randomly selected chute will open farther than 2.5 standard deviations from the average height? (2 points) (c) What is the probability that a randomly selected chute will open between 1 and 2 standard deviations from the average height? (2 points)
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