Answer:
The expected value of X is and the variance of X is
The expected value of Y is and the variance of Y is
Step-by-step explanation:
(a) Let X be a discrete random variable with set of possible values D and probability mass function p(x). The expected value, denoted by E(X) or , is
The probability mass function of X is given by
Since the bus driver is equally likely to drive any of the 4 buses, the probability mass function of Y is given by
The expected value of X is
The expected value of Y is
(b) Let X have probability mass function p(x) and expected value E(X). Then the variance of X, denoted by V(X), is
The variance of X is
The variance of Y is
8ft = 2yrds and 2 feet
68in= 5ft and 8in
I don't know the last one XD
15/8 + 1/4
15/8 + 2/8
= (15 + 2) /8
= 17/8
= 2 1/8. 2 whole number 1/8.
Answer: 325
Step-by-step explanation:
Student tickets: x
Adult tickets: x + 71
Total: 579
x + x + 71 = 579
2x + 71 = 579
2x = 579 - 71
2x = 508
x = 508/2
x = 254
Adult tickets = x + 71 = 254 + 71 = 325
P.S. Hope it helps. If you have any questions, feel free to ask them here. I'll be happy to help! Have a wonderful day!
Answer:
x = 9
Step-by-step explanation:
A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.