An experiment is being performed with 2 dice, The variable analyzed is the sum o

Question

An experiment is being performed with 2 dice, The variable analyzed is the sum of the outcome of each die. If Event A is defined as all the even outcomes when 2 dice are lossed, Event B is defined as all the odd outcomes when 2 dice are lossed. Even C is defined as all possible outcomes not greater than 9, and Even D is defined as all possible outcomes more than 4. Calculate the following: Calculate [(A' D)' C'] [B' A] Are B' and (A' C)' mutually exclusive events? A random sample of 200 adults are classified below according to gender and level of education attained. Education Elementary Secondary College Male 38 28 22 Female 45 50 17 If a person is picked at random from this group, find the productivity that The person is a male, given that the person has secondary education? The person has a high school diploma, given that the person is a female?

Explanation / Answer

2:

(A)

Total number of persons having scondary education is 28+50 =78

Out of these 78 persons, 28 are male so

P(male|secondary education) = 28 /78 = 0.359

(B)

Number of females: 45+50+17 = 112

Out of these 112 females, 17 have high school diploma so required probability is

17 /112 = 0.1518

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