Assume that the probability of a being born with Genetic Condition B is p = 3/4. A study looks at a random sample of 137 volunteers. Find the most likely number of the 137 volunteers to have Genetic Condition B. (Round answer to one decimal place.) Let X represent the number of volunteers (out of 137) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) Use the range rule of thumb to find the minimum usual value p-20 and the maximum usual value u+20. Enter answer as an interval using square-brackets only with whole numbers. usual values =
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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