The automatic opening device of a military cargo parachutehas been designed to open when the parachute is200 m above the ground. Suppose opening altitudeactually has a normal distribution with mean value200 m and standard deviation 30 m. Equipment damagewill occur if the parachute opens at an altitude ofless than 100 m. What is the probability that there isequipment damage to the payload of at least one of fiveindependently dropped parachutes?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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
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?
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