Question

The probability distribution histogram shows the number of days a book is checked out of the library. What is P(9≤X<18)?​

Answer 1

Answer:

$p(9\leq{X}\leq{18})=0.6$

Step-by-step explanation:

• The probability distribution provides the probabilities of occurrence of different possible outcomes, in this case we want to know what is the probability that the variable X takes any value between 9 and 18.

• The probability of occurrence is shown in the vertical axis of the graph. We want to know what is the probability of finding values of X between 9 and 18, then we should add up the probabilities between these two values , which means adding $P(9\leq{X}\leq {12})+P(12\leq{X}\leq {15})+P(15\leq{X}\leq {18}) = 0.15+0.30+0.15=0.6$