a real number between 0 and 6 will be picked according to the probability distribution shown in the figure…

a real number between 0 and 6 will be picked according to the probability distribution shown in the figure. regions under the curve are labeled with a, b, c, and d. 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 2 and 5 is picked. (b) find the probability that a real number between 4 and 6 is picked.

a real number between 0 and 6 will be picked according to the probability distribution shown in the figure. regions under the curve are labeled with a, b, c, and d. 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 2 and 5 is picked. (b) find the probability that a real number between 4 and 6 is picked.

Answer

Explanation:

Step1: Identify relevant regions for part (a)

The region between 2 and 5 consists of regions B and C.

Step2: Calculate probability for part (a)

The probability is the sum of the areas of B and C. So, $P(2 < x<5)=0.50 + 0.15=0.65$.

Step3: Identify relevant regions for part (b)

The region between 4 and 6 consists of regions C and D.

Step4: Calculate probability for part (b)

The probability is the sum of the areas of C and D. So, $P(4 < x<6)=0.15+ 0.05 = 0.20$.

Answer:

(a) 0.65 (b) 0.20