Answer:

Step-by-step explanation:
Recall that a <em>probability mass function</em> defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k
In this case we have the event
“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.
Then we have 2 possible events, either the computer is right or not.
Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function
This gives the probability that k computers are wrong at the same time.
Answer is C:1/3
21 total
7/21=1/3
Answer:
0.0008
Step-by-step explanation:
The formula for a hypergeometric probability is

where N is the population, A is the number of objects of type A, B is the number of objects of type B, n is the sample size and x is the number of successes.
In this problem, N is 13. A is 5, since there are 5 objects drawn, and B is 8, since there are 8 remaining objects.
The sample size, n, is 5, and x is 5:

You are told x = 8y -4
Replace x in the second equation with 8y-4:
8y-4 + 8y = 6
Combine like terms:
16y-4 = 6
Add 4 to both sides:
16y = 10
Divide both sides by 16:
Y = 10/16
Simplify:
Y = 5/8
Now replace y with 5/8 do find x:
X = 8(5/8) -4 = 5-4 = 1
X = 1, y = 5/8
(1,5/8)