00:01
In this table we have the probability distribution for a discrete random variable x, which happens to be the number of cars sold daily for one week.
00:10
And for question one, we are asked for the probability of selling at least four cars daily.
00:16
So this is the probability that x is greater than are equal to four.
00:24
And so if we look at our table, the values, the possible values for x that are at least four are four, six, eight, and ten.
00:32
So the probability of x being any of these values is the sum of their individual probabilities.
00:41
Now first we must find the probability that x equals 4.
00:47
For any discrete probability distribution, summation of all of the probability masses must be 1.
01:16
And so if we solve for the probability that x equals 4, we get 0 .35.
01:34
So the probability that x is at least 4 is the sum of the 4 probabilities highlighted in the 0.
01:39
In yellow, which can be re -expressed as 1 minus the probability that x equals 2.
01:50
So that's 0 .8.
01:52
So the correct answer for question 1 is therefore c.
02:00
And then for question 2, we are asked how many cars the dealer ship expects to sail daily.
02:08
So this is the expected value of x...