Answer: 0.79
Step-by-step explanation:
I will suppose that this is not a continuos probability, as the individual probabilites add up to 100%.
If you want to obtain the probability that x ≤ 0, then you need to add the probability for the cases x= 0, x = -1, x = -2 .... etc
This is:
x = 0, p = .16
x = -2, p = .33
x = -3, p = .13
x = -5, p = .17
Then, the probability where x takes a negative value or zero {-5, -3, -2, 0} is:
P = 0.16 + 0.33 + 0.13 + 0.17 = 0.79
Answer:
0.03333
Step-by-step explanation:
Given that there are three machines. All of the machines can produce 1000 pins at a time.
Chance for any machine is thus equaly likely = 1/3
The rate of producing a faulty pin from Machine 1 be 10%, from Machine 2 be 20% andfrom Machine3 be 5%.
Machine I II III total
Faulty 0.10 0.20 0.05
Prob 0.3333 0.3333 0.3334 1
Faulty*prob 0.03333 0.06666 0.16665 0.26664
Thus probability that a produced pin will be faulty and it will be from the firstmachine
= 0.03333
Answer:
The standard form of the parabola is 
Step-by-step explanation:
The standard form of a parabola is
.
In order to convert 
into the standard form, we first separate the variables:
we now divided both sides by 2 to remove the coefficient from 
and get:
.
We complete the square on the left side by adding 3 to both sides:
now we bring the right side into the form 
by first multiplying the equation by 
:
and then we multiplying both sides by 
to get
.
Here we see that
Thus, finally we have the equation of the parabola in the standard form:
