00:01
In this table we have an incomplete probability distribution for a discrete random variable x, which happens to be the number of cars sold in a day by an automobile dealership.
00:13
For question 1, we are asked for the probability of selling at least four cars daily.
00:19
So let's first solve the probability that x is equal to 4.
00:23
For any discrete random variable, the summation of all of the probability masses across all possible values of the random variable is equal to 1.
00:36
So this means that 0 .2 plus the probability that x is equal to 4 plus 0 .25 plus 0 .05 plus 0 .05 is equal to 1.
00:55
And so solving for the probability that x is equal to 4 gives 0 .35.
01:09
So we are asked for the probability of selling at least 4 cars daily.
01:14
So this is the probability that x is greater than or equal to 4, and the values for which x is at least 4 include 4, 6, 8, or 10.
01:27
And so this probability of being any of these 4 values is equal to the sum of their individual probabilities...