Answer:
P(x=5) = 7/12
Step-by-step explanation:
We find the probability of any number by subtracting or adding the other probabilities that are given. This we have to decide on our own what the situation is , whether to add or subtract depending on the probability given.
In this question we are given two probabilities which both are either less or greater than the P (x=5) so we subtract them from the probability of 1. As the total of all probabilities is equal to 1.
P(x=5) =1- P(x<5) - P (x> 5)
P(x=5) =1- 1/4-1/6
P(x=5) =24-6-4/24= 14/24= 7/12
Check the probabilities of all must equal 1
P(x=5) + P(x<5) + P (x> 5)
=7/12+ 1/4+1/6
=7+3+2/12= 12/12=1 which is true.
The diagram will help- you understand better.
