# Question: If X has the distribution function Find a P X 3 b

If X has the distribution function

Find

(a) P(X ≤ 3);

(b) P(X = 3);

(c) P(X < 3);

(d) P(X ≥ 1);

(e) P(- 0.4 < X < 4);

(f) P(X = 5).

Find

(a) P(X ≤ 3);

(b) P(X = 3);

(c) P(X < 3);

(d) P(X ≥ 1);

(e) P(- 0.4 < X < 4);

(f) P(X = 5).

## Answer to relevant Questions

Use MINITAB or some other computer software to construct a histogram of the coking- time data given in Exercise 3.113. In exercise The probability density of the continuous random variable X is given by (a) Draw its graph and verify that the total area under the curve (above the x- axis) is equal to 1. (b) Find P(3 < X < 5). With reference to Exercise 3.24, find the distribution function of Z and draw its graph. In exercise The probability density of the random variable Z is given by With reference to exercise 3.32, find the probability destiny of X and use it o recalculate the two probabilities. In exercise Find P(- 1/2 < X < 1/2 ) and P(2< X < 3). With reference to Exercise 3.42, find the following values of the joint distribution function of the two random variables: (a) F(1.2, 0.9); (b) F(- 3, 1.5); (c) F(2, 0); (d) F(4, 2.7). In exercisePost your question