Major help needed, please include units James Burke says that 56% of the general

Question

Major help needed, please include units
James Burke says that 56% of the general population wears eyeglasses, while only 3.6% wears contacts. He also says that of those who do wear glasses, 55.4% are women and 44.6% are men. Of those who wear contacts, 63.1% are women and 36.9% are men. Assume that no one wears both glasses and contacts. For the next person that you encounter at random, what is the probability that this person is wearing glasses and a woman? b. wearing contacts and a man? a. wearing glasses or contacts? d. wearing neither? c. A particular cell phone company offers 4 models of phones, each in 6 different colors, and each available with any one of 5 calling plans. How many combinations are possible? The County Assessment Bureau decides to reassess homes in 8 different areas. How many different ways can this be accomplished? 8. 9. How many different tests can be made from a test bank of 20 questions if the test consists of 5 questions? A school musical director can select 2 musicals to present next year. One will be presented in the fall, and one in the spring. If she has 9 to pick from, how many different possibilities are there? 10. 11.

Explanation / Answer

7 a) P(A | B) = P(A and B) / P(B)
P(Woman | wearing glasses) = P(Wearing glasses and Woman) / P(Wearing glasses)
P(Wearing glasses and woman) = 0.554 * 0.56 = 0.31024

b) P(Wearing contacts and Man) = P(Man | Wearing contacts) * P(Wearing contacts) = 0.369 * 0.036 = 0.013284

c) P(wearing glasses or contacts) = P(wearing glasses) + P(wearing contacts) = 0.56 + 0.036 = 0.596

d) P(wearing neither) = 1 - P(wearing glasses or contacts) = 1 - 0.596 = 0.404

8) 4models, 6 different colours and 5 calling plans.

Number of combinations = 4*6*5 = 120 combinations

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