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R Questions Question 2 In an experiment of rolling 10 dice simultaneously. Use the binomial distribution to...

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Statistics

R Questions Question 2

In an experiment of rolling 10 dice simultaneously. Use thebinomial distribution to calculate the followings:

a) The probability of getting six 6's ```{r} #INSERT YOUR ANSWERHERE ```

b) The probability of getting six, seven, or eight 3's ```{r}#INSERT YOUR ANSWER HERE ```

c) The probability of getting six even numbers ```{r} #INSERTYOUR ANSWER HERE ``` ****** ##

Question 3 In a shipment of 20 engines, history shows that theprobability of any one engine proving unsatisfactory is 0.1

a) Use the Binomial approximation to calculate the probabilitythat at least three engines are defective? ```{r} #INSERT YOURANSWER HERE ```

b) Use the Poisson approximation to calculate the probabilitythat at least three engines are defective? ```{r} #INSERT YOURANSWER HERE ```

c) Compare the results of parts a and b, then illustrate on howwell the Poisson probability distribution approximates the Binomialprobability distribution. ```{r} #INSERT YOUR ANSWER HERE ```******

if R code can't be provided that is fine, but will need theanswer in simple form if possible with explanation

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