According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select six peanut M&M's from an extra-large bag of the candies. What is the probability that exactly two of the six M&M's are orange? What is the probability that two or three of the six M&M's are orange? What is the probability that at most two of the six M&M's are orange?

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(5) Given,

Probability of M&M's are orange = 23%

That is, probability of success, p = 23% = 0.23

Sample size, n = 6

Let X = Number of M&M's are orange.

Using formula (Binomial distribution)