A new military defense system is tested. It is found that 1 out of 10 missiles fired on ground objects are off-target. The system needs to be used for firing 500 missiles during a potential military attack. Apply Normal approximation to calculate the following probabilities. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table (a) The probability that more than (>) 58 missiles will be off-target is (Round to four decimal places including any zeros.) (b) The probability that less than (< ) 30 missiles will be off-target isn. (Round to four decimal places including any zeros.) (c) The probability that at least (2) 58 but less than (<) 68 missiles will be off-target is (Round to four decimal places including any zeros.)
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!
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