Question

R Questions Question 2

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

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

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} #INSERT YOUR ANSWER HERE ``` ****** ##

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

a) Use the Binomial approximation to calculate the probability that at least three engines are defective? ```{r} #INSERT YOUR ANSWER HERE ```

b) Use the Poisson approximation to calculate the probability that at least three engines are defective? ```{r} #INSERT YOUR ANSWER HERE ```

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

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

Answer 1