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. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.)
Compute the probability that exactly five of the six M&M’s are red
Compute the probability that four or five of the six M&M’s
Compute the probability that at most five of the six M&M’s are red.
Compute the probability that at least five of the six M&M’s are red.
If you repeatedly select random samples of six peanut M&M’s, on average how many do you expect to be red? (Round your answer to two decimal places.)
red M&M’s With what standard deviation? (Round your answer to two decimal places.)
here this is binomial distribution with parameter n=6 and p=0.12
1)
probability that exactly five of the six M&M’s are red =P(X=5)=6C5(0.12)5(0.88)1 =0.0001
2) probability that four or five of the six M&M’s =P(X=4)+P(X=5)=6C4(0.12)4(0.88)2+6C5(0.12)5(0.88)1=0.0025
3)
probability that at most five of the six M&M’s are red =P(X<=5)=1-P(X=6)=1.0000
4)
probability that at least five of the six M&M’s are red =P(X>=5)=P(X=5)+P(x=6)=0.0001
5) expect to be red =np=6*0.12 =0.72
6) standard deviation =sqrt(np(1-p))=sqrt(6*0.12*0.88)=0.80
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are...
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%.) Compute the probability that exactly two of the five M&M’s are yellow. Compute the probability that two...
2. 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. (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 six M&M’s are yellow. b.) Compute the probability...
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%.) Compute the probability that exactly two of the five M&M’s are yellow. Compute the probability that two or...
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 peanut M&M’s from an extra-large bag looking for a blue candy. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Compute the probability that the first blue candy is the eighth M&M selected. Compute the probability that...
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; 1.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Compute the probability that exactly two of the five M&M's are yellow. Compute the probability that two or...
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. (Round your answers to 4 decimal places where possible) a. Compute the probability that a randomly selected peanut M&M is not brown. b. Compute the probability that a randomly selected peanut M&M is yellow or green. c. Compute the probability that two randomly selected peanut M&M’s are both yellow. d....
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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. (Round your answers to 4 decimal places where possible) a. Compute the probability that a randomly selected peanut M&M is not green. b. Compute the probability that a randomly selected peanut M&M is blue or green. c. Compute the probability that two randomly selected peanut M&M’s are both yellow. d....
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