Looks like the PMF is supposed to be

which is kinda weird, but it's not entirely clear what you meant...
Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

Next,





If

, then

, where we take the positive root because we know

can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that

can take on the values

,

, and

. At these values of

, we would have the same probability as we did for the respective value of

. That is,

Part (5) is incomplete, so I'll stop here.
Answer:
9.434 X 10^66
Step-by-step explanation:
2.34 X 10^65 + 9.2 X 10^66 (First, you have to manipulate the exponents to bring them to the same index, i.e. the same power)
We can say that 2.34 X 10^65 = 0.234 X 10^66
Now that the indexes are equivalent, we can proceed to add the two bases together.
0.234 X 10^66 + 9.2 X 10^66
= (0.234 + 9.2) X 10^66
= 9.434 X 10^66
Answer:
(b) the unknown angle is 80°
Step-by-step explanation:
The unkown angle is:
[2(x-10)]°
Substituting "x" by 50 (part a)
[2(50-10)]°=[2(40)]°=80°
Answer:
12 and 8
Step-by-step explanation:
set two numbers as x and y
mean of 10 → x+y/2=10
range of 4 → x-y=4
x+y=20
+ x-y=4
____________
2x=24, x=12
12-y=4, y=8
Answer:
9 answer ok like floow on