Answer:
Therefore the required probability is 0.15.
Step-by-step explanation:
Poisson distribution:
The Poisson distribution is the number of an event is occur within a time period.
μ= The mean
x= event.
In Poisson distribution , the average rate event per time period is constant.
12% defective parts is produced by one of the machines of the time.
μ= (12%×7)= 0.84
x= the number of defective product =2
=0.15
Therefore the required probability is 0.15.
Answer:
- Inverse Variation
- Equation:
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
where k is the constant of variation
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
There's no need to check further as both values of k are not equal
To check for inverse variation;
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
When Y = 3/2; X = 8
When Y = 1, X = 12
Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of
Substitute 12 for k
So, the equation becomes
Reorder
Hence, the equation is