EXERCISE11.3

EXERCISE11. . The probability density function of X is given by f x k xe   for for Find the value of k . . The probability density function of X is f x     otherwise Find (i) P X (ii) P X (iii) P X . Suppose the amount of milk sold daily at a milk booth is distributed with a minimum of litres and a maximum of litres with probability density function k otherwise Find (i) the value of k (ii) the distribution function (iii) the probability that daily sales will fall between litres and litres? . The probability density function of X is given by f x k      for for Find (i) the value of k (ii) the distribution function (iii) P X < (iv) P X £ (v) P X ≤ . - - Probability Distributions . If X is the random variable with probability density function f x ( ) given by,           otherwise then find (i) the distribution function F x ( ) (ii) P X . ) . If X is the random variable with distribution function F x ( ) given by, F x −∞< < ∞       then find (i) the probability density function f x ( ) (ii) P X ( . . ) £ £