Answer: If X = 5, z=<u>-3</u>
If X = 37, z= <u>3.4</u>
Step-by-step explanation:
We know that the formula to find the z-score for any random variable x is given by :-

, where
= Population mean
= Population standard deviation.
As per given , we have

Then , the z-score for x =5

i.e. If X = 5, z=<u>-3</u>
When x =37,then 
i.e. If X = 37, z= <u>3.4</u>
multiply 14 x 2.54
14 x 2.54 = 35.56 centimeters
Step-by-step explanation:

Answer:
The expected value of the safe bet equal $0
Step-by-step explanation:
If
is a finite numeric sample space and
for k=1, 2,..., n
is its probability distribution, then the expected value of the distribution is defined as
What is the expected value of the safe bet?
In the safe bet we have only two possible outcomes: head or tail. Woodrow wins $100 with head and “wins” $-100 with tail So the sample space of incomes in one bet is
S = {100,-100}
Since the coin is supposed to be fair,
P(X=100)=0.5
P(X=-100)=0.5
and the expected value is
E(X) = 100*0.5 - 100*0.5 = 0
Answer:
Step-by-step explanation:
its center is (1,1) and radius=1