Answer:
B
Step-by-step explanation:
875 x 1.65% = 14.44
875.00
+14.44
__________
889.44
Answer:
51/4
Step-by-step explanation:
To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.
X~ Uniform(0,100)
Then the probability mass function is given as follows.
Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located 70 meters away from city A then the mid point between 20 and 70 is (70+20)/2 = 45 then we can represent D as follows
Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable , is a random variable as well, remember that there is a theorem that says that
Where is the probability mass function of X. Using the information of our problem
Diving and then subtract finally multiple
Answer:
And we know that each time that we win we recieve $1 and each time we loss we need to pay $1, so then the expected value would be given by:
And the variance is defined as:
Step-by-step explanation:
For this case we know that we can win if we select 2 balls of the same color, so we can find the probability of win like this:
So then the probability of no win would be given by the complement:
We can define the random variable X who represent the amount of money that we can win.
And we can use the definition of expected value given by:
And we know that each time that we win we recieve $1 and each time we loss we need to pay $1, so then the expected value would be given by:
We can calculate the second monet like this:
And the variance is defined as: