1. A group of 500 volunteers recorded an average age of 21.5 years and standard deviation of 9.6 years. Assumed the distribution is normally distributed. а. Find the number of volunteers with ages less than 20 years. b. Find the number of volunteers with ages greater than 22 years. Find the actual age of Roland if 85.31% of the volunteers are younger с. than him.
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!
1.
A group of 500 volunteers recorded an average age of 21.5 years and standard deviation of 9.6 years. Assumed the distribution is
Find the number of volunteers with ages less than 20 years.
Find the number of volunteers with ages greater than 22 years. Find the actual age of Roland if 85.31% of the volunteers are younger
If 2.5% of the volunteers are older than Shirley how old is she? Between what ages is the middle 40% of the volunteers?
The mean weight of 1000 students at a certain high school is 140 pounds and the variance is 100 pounds. Assuming that the weights are normally distributed, how many students weigh:
Between 120 and 145 pounds? More than 150 pounds?
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