1. A sample of points scored by starters in the WNBA is normally distributed with a mean of 18 and a variance equal to 20. A- What proportion of points scored below 12? B- What is the probability of points scored more than 28? Interpret your answer to number 1A. Think about the normal distribution, standard deviations, etc., what would you say about a player to a potential new team who scores 12 points or below per game? (1 sentence to explain).
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 sample of points scored by starters in the WNBA is
A- What proportion of points scored below 12?
B- What is the
Interpret your answer to number 1A. Think about the normal distribution, standard deviations, etc., what would you say about a player to a potential new team who scores 12 points or below per game? (1 sentence to explain).
Let X be the points scored by starters follows normal distribution with mean 18 and variance 20.
A.
The proportion of points scored below 12 is 0.0899 and it is obtained below:
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