# Question: Let f x 1 2 0 x 1 or

Let f(x) = 1/2, 0 < x < 1 or 2 < x < 3, zero elsewhere, be the pdf of X.

(a) Define the cdf of X and sketch its graph.

(b) Find q1 = π0.25.

(c) Find m = π0.50. Is it unique?

(d) Find q3 = π0.75.

(a) Define the cdf of X and sketch its graph.

(b) Find q1 = π0.25.

(c) Find m = π0.50. Is it unique?

(d) Find q3 = π0.75.

## Answer to relevant Questions

Let f(x) = (x + 1)/2, −1 < x < 1. Find (a) π0.64, (b) q1 = π0.25, and (c) π0.81. A grocery store has n watermelons to sell and makes $1.00 on each sale. Say the number of consumers of these watermelons is a random variable with a distribution that can be approximated by A pdf of the continuous type. If ...The initial value of an appliance is $700 and its dollar value in the future is given by Where t is time in years. Thus, after the first three years, the appliance is worth nothing as far as the warranty is concerned. If it ...The strength X of a certain material is such that its distribution is found by X = eY, where Y is N(10, 1). Find the cdf and pdf of X, and compute P(10, 000 < X < 20, 000). A certain machine has a life X that has an exponential distribution with mean 10. The warranty is such that $m is returned if the machine fails in the first year, (0.5)m of the price is returned for a failure during the ...Post your question