Robert uses his calculator to generate 5 random integers between 1 and 9 inclusive. i. Find the

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Robert uses his calculator to generate 5 random integers between 1 and 9 inclusive.

i. Find the probability that at least 2 of the 5 integers are less than or equal to 4. 

Robert now generates n random integers between 1 and 9 inclusive. The random variable X is the number of these n integers which are less than or equal to a certain integer k between 1 and 9 inclusive. It is given that the mean of X is 96 and the variance of X is 32.

ii. Find the values of n and k.

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