Question

random variables and distributions using the graph of a distribution to find probabilities: basic use the figure and the table to answer the parts below. (a) find the probability that a real number between 1 and 3 is picked. (b) find the probability that a real number between 1 and 5 is picked.

Explanation:

Step1: Identify relevant regions for part (a)

The region between 1 and 3 is region A. The probability is equal to the area of the corresponding region.

Step2: Determine probability for part (a)

The area of region A is 0.10, so the probability that a real - number between 1 and 3 is picked is 0.10.

Step3: Identify relevant regions for part (b)

The region between 1 and 5 consists of region A and region B.

Step4: Calculate probability for part (b)

We add the areas of region A and region B. $P = 0.10+0.30=0.40$.

Answer:

(a) 0.10
(b) 0.40