A jar contains candy coated chocolates of different colors. 19 are red, 16 are b

Question

A jar contains candy coated chocolates of different colors. 19 are red, 16 are blue, 15 are green, 19 are brown, 9 are yellow, and 9 are orange. If you were to pick a candy out of the jar at random, what is the probability that the candy would be blue? (Write your answer as a proportion rounded to two decimal places.)

Your Answer:Question a options:

Question b (2 points)

For a sample of MMA fighters, the mean speed is 26 with a standard deviation of 1.50. If a fighter has a z-score for speed of -1.64, what will her raw speed score equal?

Your Answer:Question 2 options:

Question c (2 points)

What percent of scores would fall above a z-score of +0.75?

Question c options:

Question d (2 points)

85% of all scores will fall above what z-score?

Question d options:

Question e (2 points)

What percent of scores would fall between a z-score of -3.00 and -0.25?

Explanation / Answer

a) Total candy = 19 + 16 + 15 + 19 + 9 + 9 = 87

P(candy is blue) = 16 / 87 = 0.18

b) Z = (X - mean) / sd

or, -1.64 = (X - 26) / 1.5

or, X = (-1.64) * 1.5 + 26

or, X = 23.54

c) P(Z > 0.75) = 1 - P(Z < 0.75)

                       = 1 - 0.7734

                       = 0.2266

                       = 22.66%

d) P(Z > z) = 0.85

or, 1 - P(Z < z) = 0.85

or, P(Z < z) = 0.15

or, z = -1.04

e) P(-3 < Z < -0.25) = P(Z < -0.25) - P(Z < -3)

                                = 0.4013 - 0.0013

                                = 0.40

                                = 40%

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