boys (1i) At least two boys (iii) All are boys (iv) There is exactly four boys (v) At least five boys (6) The following question is based on the table below LIED ) NO(DID NOT YES (LIED POSITIVE TEST RESULT 24 32 NEGATIVE TEST RESULT 30 20 Find the following; (a)P(subject lied tested positive) (b) P(tested negative[did not fied) (c) P(did not liedtested positive) (d) ) P(tested negative]lied) (7) Determine whether a probability distribution is given. If a probability distribution is given, find its mean (expected value). If a probability distribution is not given, explain why.b 10 0.15 1-10. 35 2 10.20 3 0.25 4 0.05 (8) Assume that a procedure yields a binomial distribution with " trials and the probability for success for one trial is P . Use the given values for " and " to find the mean " and standard deviation . Also use the range rule of thumb to find the minimum usual value "- - and the maximum usual value " + 20 . In an actual experiment 1200 offspring peas were generated and it was claimed that 75% of them would have green pods. in = 120. p=0.75) (9)(a) A bag has 3 red marbles, 2 blue marbles, 4 green marbles and 1 yellow marble. A marb is drawn at random. Let & be the event of drawing a green marble. (i) Find Ply