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Probability questions

Probability questions | form six Pure Advanced Mathematics

Find Probability examination questions, form six Pure Advanced Mathematics in acaproso.com

# Question
1

From the distribution distribution below find

  1. E(X)  
  2. E(X^2)
  3. E(X-ar{X})^2
X 8 12 16 20 24
P(X) 1/8 1/6 3/8 1/4 1/12

 


Mathematical Calculation
2

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.


Mathematical Calculation
3

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

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

Short answers
4
  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 small P(A)=frac{1}{4}, small P(A/B)=frac{1}{2} and small P(B/A)=frac{2}{3}. Verify whether A and B are independent events or are mutually exclusive events.

Mathematical Calculation
5
  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.
  1. 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.

Mathematical Calculation