An insuranceagent lives of 5 men,all of the same age and in good health.The probability that a man of this age will survive the next 30 years is known to be 2/3.Find the probability that in the next 30 years atmost three men will survive.

The probability that the certain kind of component will survive a check test is 0.6.Find the probability that exactly 2 of the next 4 components tested survive.

Odds 8 to 5 against a person who is 40 years old living till he is 70 and 4 to 3 against another person now 50 till he will be living 80. Probability that one of them will be alive next 30 years .

A class has 15 students whose ages are 14,17,15,14,21,17,19,20,16,18,20,17,16,19 and 20 years.One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded.What is the probability distribution of the random variable X?Find mean,variance and standard deviation of X.