Children’s Sleep Problems. Families and pediatricians often have difficulty managing sleep problems of young children. In the article “An Individualized and Comprehensive Approach to Treating Sleep Problems in Young Children” (Journal of Applied Behavioral Analysis, Vol. 46, No. 1, pp. 161–180), researchers C. Jin et al. estimate that sleep problems affect 70% of children with an autism spectrum disorder. If 50 children with an autism spectrum disorder are selected at random, what is the probability that the number who have sleep problems a. is exactly 70% of those sampled? b. at most 70% of those sampled? c. at least 70% of those sampled?
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!
Children’s Sleep Problems. Families and pediatricians often have difficulty managing sleep problems of young children. In the article “An Individualized and Comprehensive Approach to Treating Sleep Problems in Young Children” (Journal of Applied Behavioral Analysis, Vol. 46, No. 1, pp. 161–180), researchers C. Jin et al. estimate that sleep problems affect 70% of children with an autism spectrum disorder. If 50 children with an autism spectrum disorder are selected at random, what is the probability that the number who have sleep problems
a. is exactly 70% of those sampled?
b. at most 70% of those sampled?
c. at least 70% of those sampled?
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