Answer:
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Answer:
0.0498 = 4.98%
Step-by-step explanation:
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
e = 2.71828 is the Euler number
is the mean in the given time interval.
Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.
Each minute has 60 seconds.
So a rate of 1 inquire each 4 seconds.
The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately
Mean of 1 inquire each 4 seconds, so for 12 seconds 
This probability is P(X = 0).


Answer:
32
Step-by-step explanation:
40 = 100%
how many are 80% ?
well, 80% = 80× 1%
1% = 100% / 100
so, in our case
80% = 80×40/100 = 8×4 = 32
as a shortcut you consider a percentage x as a ratio factor of x/100 you multiply the 100% number with.
in our case
80% = 40 × 80/100 = 32
Answer:
C. f(x) = 2x² - 1.
Step-by-step explanation:
Using any of the given pair, slot in the values of the pair into each function given to find out if it would satisfy the equation.
Let's use (1, 1).
Option A: f(x) = 2x - 1:
Substitute x = 1 and f(x) = 1 into the function
1 = 2(1) - 1
1 = 2 - 1
1 = 1 (this is true).
However, let's try this using another given pair, (2, 7) to confirm if the function matches the table.
Substitute x = 2 and f(x) = 7 into f(x) = 2x - 1
7 = 2(2) - 1
7 = 4 - 1
7 = 3 (this is not true). Therefore the function doesn't match.
✔️Let's check option C: f(x) = 2x² - 1.
Substitute x = 1, and f(x) = 1 into the function
1 = 2(1)² - 1
1 = 2 - 1
1 = 1 (true)
Try another pair, say (2, 7):
Substitute x = 2 and f(x) = 7 into f(x) = 2x² - 1
7 = 2(2)² - 1
7 = 2*4 - 1
7 = 8 - 1
7 = 7 (true).
Therefore, C. is the correct answer.
Answer:
Frequency: 20
A.F: 650
Mean: 30
Step-by-step explanation:
Frequency and A.F were just sums of the values mentioned for each
The mean:
Definition: the average of a data.
Formula: sum of numbers divided by the number of numbers
Answer: (28 x 2 + 29 x 4+ 30 x 8 + 31 x 4+ 32 x 2) divided by 20 = 30
Hope this helps