Summer 2022 Assignment # 28 Name: 1. IfE and F be independent events such that P(E)=0.6 and P(F)=0.5, then find P(EUF) [
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Summer 2022 Assignment # 28 Name: 1. IfE and F be independent events such that P(E)=0.6 and P(F)=0.5, then find P(EUF) [
Summer 2022 Assignment # 29 Name: 1. IfE and F are events with P(E)=0.4, P(F)=0.6, and P(EF)=0.3, then find P(FE). [2] 2. If E and F are events with P(E)=0.4, P(EUF)=0.8, and P(EF) = 0.2, then find P(E\F). [2] 3. Two balls are drawn at random without replacement from a box containing 6 white balls and 7 green balls. Find the probability that [2 each] the second ball is white given that the first is green, the second ball is white, the first ball is green given that the second ball is white. (a) (b)
1. 2. 3. Assignment # 30 Name: A committee of 5 is to be selected from 6 men and 5 women. In how many ways can this be done if there are no restrictions, (a) (b) it is to contain at least 3 women. A coin is tossed six times. How many different outcomes have (a) at least 4 heads, (b) at most 3 heads. In how many ways could the letters of the word: OVERNERVOUSNESS be rearranged?
Summer 2022 1. 2. Assignment # 31 Name: A survey of 1000 college students provided the following table: Republican 190 140 330 Democrat Male 170 Female 190 Total 360 If a student is picked at random, (a) (b) (d) (e) Independent 150 160 310 find the probability that the student is a Republican, find the probability that the student is a Democrat, Total 510 490 1000 find the probability that the student is a Republican, knowing that the student is a Male, find the probability that the student is a Female, knowing that the student is Independent, Are the events Male and Republican independent. Justify your answer. In a certain county, 40% of the registered voters are Democrats, 35% are Republicans, and 25% are Independents. During a recent election, 55% of the Democrats, 60% of the Republicans, and 60% of the Independents voted. What is the probability that someone who voted is an Independent?
Summer 2022 Assignment # 32 Name: Two cards are drawn at random from a deck of 52 cards. Find the probability that both cards are picture cards (K, Q, or J). [2] 1. 2. 3. Three balls are drawn at random without replacement from a box containing 6 white balls, 5 red balls, and 7 green balls. Find the probability that [2 each] all 3 balls are green, none of the balls are white, (a) (b) (c) at least two balls are green, they are of different colors. In a shipment of 100 transformers, 15 are known to be defective. If 30 transformers are picked at random, what is the probability that all 30 are nondefective? [2]