1.Let A and B be events that Pr (A) = 0.6, Pr (A U B) = 0.8 and Pr (A|B) = 0.6
Find Pr (B).
2. Having a mean of 20 and standard deviation of 4 where X is the normal random variable and Z is the random variable with a standard normal distribution Find b such that Pr 9X .240 = Pr (Z < b)
3. On a multiple choice exam, each question will have 5 alternatives where only i given of which is correct. For each question, candidates gain 4 mark for a correct answer but Raoul is able to elimiate 2 of the incorrect answers from the alternatives given before guessing from those remaining. Given that the exam contains 24 questions, calaculate his explected total mark?
4. For a stnadard normal variable Z, Pr (0
Z
c) = 0.3 and Pr (Z
d) = 0.3 The value of Pr (Z
d|
c) is ___?
5. The random variable X us normally distributed with a mean of 10 and a variance of 4. If Pr (8
Z
12) = 1 - 2 Pr (Z
c) where Zi is a stnadrad normal distribution then c is ___?
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