If a probability distribution is 5/12, 1/12, 1/4, x, what is the value of x?

A. 1/4

B. 1/6

C. 1/12

D. 1/3

Correct option: A

Step-by-step explanation:

The properties of a probability distribution are:

The second property implies that the sum of all the probabilities of a random variable is 1.

Use this property to determine the value of x as follows:

Thus, the missing probability value is .

is this part of a question or something

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."