The automatic opening device of a military cargo parachute has been designed to open when the parachute is 200 m above the ground. Suppose opening altitude actually has a normal distribution with mean value 200 m and standard deviation 30 m. Equipment damage will occur if the parachute opens at an altitude of less than 100 m. What is the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes?

Answer Step 1 of 3 Given =200, =30 Z=(X-)/ =(100-200)/30 =-3.33 Step 2 of 3 P(x100)=P(Z-3.33) =0.0004 Here n=5,p=0.0012, q=1-0.0004=0.9996