A sample of 200 people was classified by hair color and eye color with the follo

Question

A sample of 200 people was classified by hair color and eye color with the following results. Find the probability of a randomly chosen person NOT having green eyes. Find the probability of a randomly chosen person having dark hair and green eyes. Find the probability of a randomly chosen person having green eyes, given they have dark hair. Find the probability of a randomly chosen person having dark hair or green eyes. The weight of a mango is normally distributed with a mean of 235 grams and a standard deviation of 31 grams. Use the 68-95-99.7 Rule to determine the percent of mango weights that are expected to be at most 235 grams. 68% of the mangoes' weights are between what two values? Use the 68-95-99.7 Rule.

Explanation / Answer

6- A) P(not green eyes) = (200-48)/200 = 0.76

B) P(dark hair and green eyes) = 36/200 = 0.18

C) P(green eyes|dark hair) = 36/150 = 0.24

D) P(dark hair or green eyes) = (150+48-36)/200 = 162/200 = 0.81

7- a) mean = 235, so, 50% of mangoes will have weight of at most 235 grams

B) 68% lies within 1 standard deviation, so, weight of mangoes will be between 235-31 and 235+31

= 204grams and 266 grams

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