Answer:
P(X=0)=0.000008
P(X=1)=0.00176
P(X=2)=0.057624
P(X=3)=0.941192
Step-by-step explanation:
Probability of correct classification = p = 0.98
Probability of incorrect classification = q = 1 - p = 0.02
The probability of success and failure is the same for all the trials. The trials are independent of each other and the number of trials is fixed i.e. n = 3.
This satisfies all the conditions of a Binomial Experiment. So we can use Binomial experiment to model the probability mass function.
The general formula of a binomial probability is:
Here x denote the number of successes, which can be {0, 1, 2, 3}. So we need to evaluate the above equation for each value of x to determine the probability Mass function of X, as shown below:
The shape in the middle is a quadrilateral, so the bottom right hand corner should add up to the rest of the angles to give 360 degrees.
40 + 80 + 110 = 230°
360 - 230 = 130°
The line on which x is on is a straight line, and a straight line is 180 degrees.
Therefore x has to be 180 - 130 to make sure it adds up to give 180 degrees.
180 - 130 = 50
∴ x = 50°
B and D if you multiply 13 by z it would be 13z and you can add 5 and 8 because they have the same variable equaling 13z
Answer:
GCF of 10 and 21 is 1.2.
Step-by-step explanation:
I hope it's helpful!
Answer:
Area of a parallelogram would be 13.46
Step-by-step explanation:
Since area of a parallelogram is represented by the formula
Area = 
(
Where 
and 
are two diagonals of the given parallelograms.
In the given figure 
and = BD
We will find the length of and first
Since points A and C are (3,6) and (5,1)
So distance AC = 
= 
= 
Since B and D are the points (6, 5) and (2, 2)
So length of BD = 
BD = 
Now we will put these values in the formula
Area of parallelogram = 
= 
× 
= (2.5) (5.385)
= 13.46
