Answer:
Step-by-step explanation:
Given that:
To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.
Let Y represent the Amount of net profit
Then, Y= {-5, 30}
The probability distribution of Y is:
Y -5 30
P(Y=y)

a) The expected value of X is given by:
![E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%5Csum%20y%20P%28Y%3Dy%29%3D%2030%2A%5Cdfrac%7B5%7D%7B38%7D-5%2A%5Cdfrac%7B33%7D%7B38%7D)


b)
On a bet of $5 on the number 25 we are expected to loose 24 cents.
While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.
Hence, $5 bet on the number 27 is better. Because the expected loss is less in this bet
Answer:
0.5hrs
Step-by-step explanation:
Let the speed downhill be
,
Speed uphill is
. We are told than speed uphill is
the speed on flat ground. Therefore the speed on level ground will be
.
From this info, we can obtain the actual speed,
on level ground as:

speed, distance and time have the relation
so to obtain time to cover 45miles:

Hence it takes 0.5hrs to cover 45miles on flat ground.
Answer:
1: -7
2: -7
3:-7
4: 8
5: 8
6: 8
Step-by-step explanation:
for the first one, you do 6-1=5 and then times that by 2 and then simplify that to get -7. for the second one, you do
which is 8+4=12, and divide 24 by that to get 2 and minus nine to get -7. for the 3rd one, you do
+9 first (16+9)= 25, and subtract 39 from that to get 14, then do 4-5=-1 *2=-2, which gets you -7. for 4 , you do 81-25= 56 over 10+8-11=7 which gets you 8. for 5, you do 36-20=16 in parentheses first and then divide 48 by that to get 3 and subtract that to get 8. last, for 6, you do 22-14 to get you 8
Answer:
x=-1 and x=1
Step-by-step explanation:
all you have to do is replace the letters with numbers and
They do not appear to be symmectric. they seem to line up well