Probability questions | form six Pure Advanced Mathematics

From the distribution distribution below find

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UNSOLVED

In a certain mathematics examination, one student estimates that his chances of getting an A is 10%, B is 40% , C is 35%, D is 10%, E is 4% and S is 1%. By obtaining an A he gets 5 points , B he gets 4 points , C he gets 3 points , D he gets 2 point , E he gets 1 Point and S he gets ½ point. Find his expectation.

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UNSOLVED

Define the following terms and write one example for each term.

1. Continuous random variable
2. Discrete random variable
3. Probability density function

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1. A group of students consist of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has at least a boy and a girl?
2. If , and . Verify whether A and B are independent events or are mutually exclusive events.

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UNSOLVED

1. Rehema and Seni play a game in which Rehema should win 8 games for every 7 games won Seni. Prove that if they play three games, the probability that Rehema wins at least two games is approximately to 0.55.

2. In a family, the boy tells a lie in 30 percent cases and the girl in 35 percent cases. Find the probability that both contradict each other on the same fact.

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UNSOLVED