# Answer to Question #45609 in Statistics and Probability for Stilla

Question #45609

(a) The probability that a man aged 60 will live to be 70 is 0.65. What is the probability that out of 10 men, now aged60 (i) exactly 9 will live to be 70 (ii) at most 9 will live to be 70, and (iii) at least 7 will live to be 70?

(b) In an examination taken by 500 candidates, the average and S.D of marks obtained are 40% and 10% respectively. Assuming normal distribution, find (i) how many have scored above 60%,(ii) how many will pass if 50% is fixed as the minimum marks for passing, (iii) how many will pass if 40% is fixed as the minimum marks for passing, and (iv) what should be the minimum percentage of marks for passing so that 350 candidates pass.

(b) In an examination taken by 500 candidates, the average and S.D of marks obtained are 40% and 10% respectively. Assuming normal distribution, find (i) how many have scored above 60%,(ii) how many will pass if 50% is fixed as the minimum marks for passing, (iii) how many will pass if 40% is fixed as the minimum marks for passing, and (iv) what should be the minimum percentage of marks for passing so that 350 candidates pass.

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