using the graph of a distribution to find probabilities: basic\nuse the figure and the table to answer the…

using the graph of a distribution to find probabilities: basic\nuse the figure and the table to answer the parts below.\n(a) find the probability that a real number between 0 and 6 is picked.\n(b) find the probability that a real number between 3 and 8 is picked.

using the graph of a distribution to find probabilities: basic\nuse the figure and the table to answer the parts below.\n(a) find the probability that a real number between 0 and 6 is picked.\n(b) find the probability that a real number between 3 and 8 is picked.

Answer

Explanation:

Step1: Identify relevant regions for part (a)

The region from 0 - 3 is A and from 3 - 6 is B.

Step2: Calculate probability for part (a)

$P(0<x<6)=P(A)+P(B)=0.15 + 0.45=0.6$

Step3: Identify relevant regions for part (b)

The region from 3 - 6 is B and from 6 - 8 is C.

Step4: Calculate probability for part (b)

$P(3<x<8)=P(B)+P(C)=0.45+0.30 = 0.75$

Answer:

(a) 0.6 (b) 0.75