Answer:
The expected value for the random variable is 14.16.
Step-by-step explanation:
We are given the following data below;
Z P(Z) 
9 0.16 1.44
12 0.25 3
15 0.36 5.4
18 0.17 3.06
21 <u> 0.06 </u> <u> 1.26 </u>
Total <u> 1 </u> <u> 14.16 </u>
Now, the expected value for the random variable Z is given by;
E(Z) =
= 
= 14.16.
If an event has a probability P of happening, then there is a probability of (1-P) of the event not happening.
In this case the probability of the event is p=20/69.
Then, the probability of the event not happening is:

Answer: the probability of the event not happening is 49/69.
Hello there ^ _ ^
121x² + 64 = 0
121x² = 0 - 64
121x² = -64
x² = 64/121
Now take square root
x = +/-√-64/121
I hope this help!