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random variables and distributions using the graph of a distribution to…

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 2 and 7 is picked. (b) find the probability that a real number between 5 and 10 is picked. region area a 0.10 b 0.40 c 0.30 d 0.20

Explanation:

Step1: Identify relevant regions for (a)

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

Step2: Calculate probability for (a)

$P(2

Step3: Identify relevant regions for (b)

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

Step4: Calculate probability for (b)

$P(5

Answer:

(a) 0.70
(b) 0.50