a real number between 0 and 10 will be picked according to the probability distribution shown in the figure…

a real number between 0 and 10 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 7 is picked. (b) find the probability that a real number between 5 and 10 is picked.

a real number between 0 and 10 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 7 is picked. (b) find the probability that a real number between 5 and 10 is picked.

Answer

Explanation:

Step1: Identify relevant regions for (a)

The region between 2 and 7 consists of regions B and C.

Step2: Calculate probability for (a)

The probability is the sum of the areas of B and C. So, $P(2 < x<7)=0.40 + 0.30=0.70$.

Step3: Identify relevant regions for (b)

The region between 5 and 10 consists of regions C and D.

Step4: Calculate probability for (b)

The probability is the sum of the areas of C and D. So, $P(5 < x<10)=0.30+ 0.20 = 0.50$.

Answer:

(a) 0.70 (b) 0.50