a real number between 1 and 11 will be picked according to the probability distribution shown in the figure…

a real number between 1 and 11 will be picked according to the probability distribution shown in the figure. regions under the curve are labeled with a, b, and c. the area of each region is shown in the table. 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.

a real number between 1 and 11 will be picked according to the probability distribution shown in the figure. regions under the curve are labeled with a, b, and c. the area of each region is shown in the table. 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.

Answer

Explanation:

Step1: Identify relevant regions for part (a)

The region for numbers between 1 and 3 is region A.

Step2: Determine probability for part (a)

The probability is the area of region A, which is 0.10.

Step3: Identify relevant regions for part (b)

The region for numbers between 1 and 5 is regions A and B.

Step4: Calculate probability for part (b)

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

Answer:

(a) 0.10 (b) 0.40