What happens to the value of the expression 80/h as h increases from a small positive number to a large positive number?
2 answers:
For this case we have the following expression:
We substitute a small number h, that is,
So:
It is observed that the value of the expression is very large, that is, it increases with small values of h
We substitute a large number h, that is,
So:
It is observed that the value of the expression decreases.
Answer:
The value of the given expression decreases when h increases from a small positive number to a large positive number.
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The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.
Data;
- Mean rate = 0.3
- x = 50
- standard deviation = ?
Using poission formula,
Let's substitute the values into the formula.
For 50 calls in 150 hours
For 150 hours = x = 0.3 * 150 = 45
b)
The probability the next call arrives after 2 hours.
c)
The number of calls recieved each day is recorded for 50 consecutive days.
for 50 days;
The mean = 360
The standard deviation is given as
The probability the sum of these 50 number is less than 356 is
Learn more on poission formula here;