Answer:
The expected value of Jordan gains is -1 dollar.
Step-by-step explanation:
Consider the following random variables. X := #of shots that Jordan makes. Then, we can can define the random variable Y of the earnings of Jordan in a game as follows
Y = 5 if X=2 (since he gets 10, but invested 5), Y=0 if X=1(since he gets the 5 back) and Y=-5 if X=0(since he doesn't get the money back). Then, in this case, we can define the probability as follows.
P(Y=5) = P(X=2), P(Y=0) = P(X=1), P(Y=-5)= P(X=0).
By definition, the expected value of Y is given by
. By the previous analysis, we have that
![E[Y] = 5\cdot P(X=2)-5P(X=0)](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%205%5Ccdot%20P%28X%3D2%29-5P%28X%3D0%29)
We only need to calculate the probabilities for X. In this case, we can consider each shot independt from each other. Then, we can consider X to be distributed as a binomial random variable with n=2 trials and p=0.4 of success (since he has a 40% chance of winning).
Then, by definition

where 
Then,


Then,
![E[Y] = 5\cdot 0.16-5\cdot 0.36 = -1](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%205%5Ccdot%200.16-5%5Ccdot%200.36%20%3D%20-1)
Answer:
Exp Date: 1/17/2017
Exp Time: 4:00am
Prep Date: 12/3/2016
Prep Time: 4:00am
Initials: 12/7/2016
Step-by-step explanation:
A well-detailed version of the question has been uploaded in form of an image for easier understand.
Looking at the question, it was said that she received her store order on 12/3/2016 at 4am, this implies that the prep date and time are 12/3/2016 and 4am respectively. Also, it was said that the expiration date was printed on the product and it is 1/17/2017. Obviously, the expiration time would also be 4am because it was prepared at 4am and if we calculate in. 24hours we would get 4am at the expiration date as well. Lastly, we were told she opened the product she received on 12/7/2016 which is the initial date the product was used. From all these we can deduce the following:
Exp Date: 1/17/2017
Exp Time: 4:00am
Prep Date: 12/3/2016
Prep Time: 4:00am
Initials: 12/7/2016
Answer:B
Step-by-step explanation:
He charged the man $25.75 for each hour and he worked for 3 hours so multiply $25.75 x 3 = $77.25
Since 360 is a full loop around the circle, the points end up in the exact same place.