How to calculate a probability
1 answer:
Probability is calculated by comparing the odds to a certain event occurring to the number of possible events.
P=
For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.
P(4)=1/6
Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:
1
2
3
4
5
6
Of the 6 possibilities, 3 are even numbers.
P(even)=3/6 or 1/2
P=
For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.
P(4)=1/6
Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:
1
2
3
4
5
6
Of the 6 possibilities, 3 are even numbers.
P(even)=3/6 or 1/2
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Answer:
a)
b) First we need to calculate the variance given by this formula:
And the deviation would be:
c)
And using the cdf we got:
d)
Step-by-step explanation:
For this case we define the random variable X who represent the customers charge, and the distribution for X on this case is:
Part a
For this case the average is given by the expected value and we can use the following formula:
Part b
First we need to calculate the variance given by this formula:
And the deviation would be:
Part c
For this case we want to find the percent between 600 and 889, so we can use the cumulative distribution function given by:
And we can find this probability:
And using the cdf we got:
Part d
And using the cdf we got: