are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select five peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) (a) Compute the probability that exactly two of the five M&M’s are blue. (b) Compute the probability that two or three of the five M&M’s are blue. (c) Compute the probability that at most two of the five M&M’s are blue. (d) Compute the probability that at least two of the five M&M’s are blue.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 five peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.)
(a) Compute the probability that exactly two of the five M&M’s are blue.
(b) Compute the probability that two or three of the five M&M’s are blue.
(c) Compute the probability that at most two of the five M&M’s are blue.
(d) Compute the probability that at least two of the five M&M’s are blue.
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