A binomial experiment consists of 800 trials. The probability of success for each trial is 05 What is the probability of obtaining 395-410 successes? Approximate the probability using a normal distribution (This binomial experiment easily passes the rule-of-thumb test for approximating a binomial distribution using a normal distribution as you can check when computing the probability, adjust the given interval by extending the range by 05 on each side)
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!
A binomial experiment consists of 800 trials. The
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