Let\'s go back to Mr. paper1 M& M\'s (both plain and peanut) at two different fa

Question

Let's go back to Mr. paper1 M& M's (both plain and peanut) at two different factories in the US. klin's paper. Through his research he found that the Mars company produces The Cleveland plant uses the following proportion of colors. Red 0.131, Orange 0.20s. Yellow 0.135, Green -0.198, Blue and Brown 0.124 22. Find the proportion of Blue M& M's The Hackettstown, NJ. plant uses the following proportion of colors. Red-0. 125. Orange» , Yellow-0.125. Green-0.125. Blue-025 and Brown .. 0.125 22. Find the proportion of Orange M & M's 23. How do these theoretical probabilities compare to the probabilities found when you collected your data along with 5 other classmate's data? If you get the above probability questions (12-21) correct you get to eat all the Green M & M's. If you get only 6 correct, you get to eat only the Brown peanut M &M;'s. And if you do not get any of the questions correct get to each 2 M& M's. Each question is equally likely to be correct. 24. Find the probability model for the above scenario. 25. Find the expected value and standard deviation for the probability model.

Explanation / Answer

SOlution:-

22) i) Proportion of blue M& M is 0.207.

Red = 0.131, orange = 0.205, Yellow = 0.135, Green = 0.198, Brown = 0.124

Total probability = 1

1 = P(Blue) + 0.131 + 0.205 + 0.135 + 0.198 + 0.124

1 = P(Blue) + 0.793

P(Blue) = 0.207

ii) Proportion of orange M& M is 0.25

Red = 0.131, orange = 0.205, Yellow = 0.135, Green = 0.198, Brown = 0.124

Total probability = 1

1 = P(Orange) + 0.125 + 0.125 + 0.125 + 0.25 + 0.125

1 = P(Orange) + 0.75

P(Orange) = 0.25

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