(b) An integer is chosen from first 100 positive integers. What is the probability that the...

 

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(b) An integer is chosen from first 100 positive integers. What is the probability that the chosen number is (i) even and divisible by 3, (ii) divisible by 6 or 12, (ii) divisible by 10 it is given that it is divisible by a number greater than 5. Q. # 4 (a) If the probability distribution of a random variable X is f(x) = Ce -2x, 0sxs0, Find () the value of C (i) P(X = 0.5), (ii) P(X > 2), (iv)P(2 < X s 5), (v)P(X > 5/ X > 0). (b) Find mean and variance of pdf given in part (a).Also find mean and variance of y = 2x + 3 (b) An integer is chosen from first 100 positive integers. What is the probability that the chosen number is (i) even and divisible by 3, (ii) divisible by 6 or 12, (ii) divisible by 10 it is given that it is divisible by a number greater than 5. Q. # 4 (a) If the probability distribution of a random variable X is f(x) = Ce -2x, 0sxs0, Find () the value of C (i) P(X = 0.5), (ii) P(X > 2), (iv)P(2 < X s 5), (v)P(X > 5/ X > 0). (b) Find mean and variance of pdf given in part (a).Also find mean and variance of y = 2x + 3

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b i The total number of numbers in the first 100 numbers that are divisible by both 2 and 3 ie divis... View the full answer