Question: 4. You are given a bag with 2 red and 8 blue marbles. If you select a marble from the bag n times (with replacement


4. You are given a bag with 2 red and 8 blue marbles. If you select a marble from the bag n times (with replacement of the marble after each selection), the probability of selecting k red marbles follows a binomial distribution: n! P(k red) = k! (n - k)! p*(1 - p)n-k where p = the probability of selecting a red marble in one selection.a. If n = 10, what is the expected number of red marbles selected (i.e., mean)? What is the standard deviation in the expected number of red marbles selected? b. If n = 10, what is the probability of selecting one, two, or three red marbles? C. If n = 10, what is the probability of observing more than three red marbles
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