In this question, we have to find the complement and supplement of the given angles .
Complementary angles are those angles whose sum is 90 degree and supplementary angles are those angles whose sum is 180 degree.
So to find the complement and supplement angles, we need to subtract the given angles from pi/2 and pi respectively .
a.
b.
Answer:
a) 0.164 = 16.4% probability that a disk has exactly one missing pulse
b) 0.017 = 1.7% probability that a disk has at least two missing pulses
c) 0.671 = 67.1% probability that neither contains a missing pulse
Step-by-step explanation:
To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
is the Euler number
is the mean in the given interval.
Binomial distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Poisson mean:
a. What is the probability that a disk has exactly one missing pulse?
One disk, so Poisson.
This is P(X = 1).
0.164 = 16.4% probability that a disk has exactly one missing pulse
b. What is the probability that a disk has at least two missing pulses?
In which
In which
0.017 = 1.7% probability that a disk has at least two missing pulses
c. If two disks are independently selected, what is the probability that neither contains a missing pulse?
Two disks, so binomial with n = 2.
A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so
We want to find P(X = 0).
0.671 = 67.1% probability that neither contains a missing pulse
Answer:
Step-by-step explanation:
Given line is,
y=-4x+3
when, x=-1 , y=-4(-1)+3=4+3=7
when, x=0 , y=-4(0)+3=0+3=3
when, x=1 , y=-4(1)+3=-4+3=-1
So, we got the points (-1,7) , (0,3) , (1,-1)
Now, putting the points in the graph and adding them , we will get the graph of given line.
Please check image for the graph.
Now for the second part-
The graph is positive means- it will be above the x-axis, that is y value will be positive.
From the graph we can see that, if x<0 , then y is positive.
So, any value of x which is less than 0 , will give the positive graph here.
