The sum of the probabilities in a probability distribution is always 1.
A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. Based on this definition, a probability distribution has two important properties that are always true:
Each probability in the distribution must be of a value between 0 and 1.
The sum of all the probabilities in the distribution must be equal to 1.
An example: You could define a probability distribution for the observation for the number displayed by a single roll of a die. The probability that the die with show a "1" is
1
6
.
That's because there are six possible outcomes, and only one of those outcomes is a "1". Lets label the probabilities of all the possible outcomes for the single die.
Roll a "1": Probability is
1
6
Roll a "2": Probability is
1
6
Roll a "3": Probability is
1
6
Roll a "4": Probability is
1
6
Roll a "5": Probability is
1
6
Roll a "6": Probability is
1
6
Each probability is between 0 and 1, so the first property of a probability distribution holds true. And the sum of all the probabilities:
1
6
+
1
6
+
1
6
+
1
6
+
1
6
+
1
6
=
1
,
so the second property of a probability distribution holds true.
Answer:
<u>0</u><u>.</u><u>4</u><u>2</u>
Process:
1 - 0.58
<u>0</u><u>.</u><u>4</u><u>2</u>
Answer:
22.0
Step-by-step explanation:
1. 8 x 10^8 is which is 800,000,000
2. 800,000,000/36,270,000 = 22.0
3. it isnt exactly 22.0 because it has some numbers still but 22.0 is the shortest