Uune 16, 2017 1. Kevin Durant made 104 free throws in playoffs. If he shoots 20

Question

Uune 16, 2017 1. Kevin Durant made 104 free throws in playoffs. If he shoots 20 the the attempts are out of 117 the for each, then independent with the same success probability of free-throws he makes is a binomial random variable with parameters n 2. You can see what the distribution of this random variable looks like in R by the following commands: 20 104/117 x dbinom (0:n, s n, proba p) ize Now if you type r and then return, you will see the values in the vector r. But that is not as useful as visualizing them. Use the command: barplot(x) Is this skewed or symmetric Which way? Explain why it is not symmetric 3. Now do the same thing for a 60% free-throw shooter. Describe the differences in the barplot: 4. Let's find the probability that a 65% shooter makes 12 shots out of 15 attempts. Type: dbinom(12, size 15, prob ,65) Answer: 5. Next find the probability that if you flip a coin 10 times, you get 4 heads and 6 tails. Answer: 6. Next find the probability of rolling a die 10 times and rolling a four on exactly 2 out of the 10 rolls Answer:

Explanation / Answer

1.) Since the total number of throws is 20, by the defination of binomial theorm, n= and since the probability of success is 104/117, the binomial parameter p representing the probability of success is 104/117

2.) The graph will be a negitively skewed graph since the probability of suceess if very high almost equal to one, the graph will not be symetric since the probability odf success is not 0.5

3.) For a 60% free thrower, the graph will be negitively skewed also, but the skewness will be less,since the probability od=f sucess is lesser, bar graph of binomial is skewed on the babsis of pr. of success, it is highly poitively skewed for p value close to 0 and highly negitively skewed for p value close to 1.

4.) prbability is 15C12*(0.65)^12* (0.35)^3=0.11096

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