It is known that a certain basketball player will successfully make a free throw 86.56% of the time. Suppose that the basketball player attempts to make 10 free throws. What is the probability that the basketball player will make at least 8 free throws? Let ?X be the random variable which denotes the number of free throws that are made by the basketball player. Find the expected value and standard deviation of the random variable. E(X)= sd =
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!
It is known that a certain basketball player will successfully make a free throw 86.56% of the time. Suppose that the basketball player attempts to make 10 free throws. What is the
Let ?X be the random variable which denotes the number of free throws that are made by the basketball player. Find the
E(X)=
sd =
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