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.
The area of a rhombus is p x q divided by 2.
p and q are both the diagonals of the shape.
In this case, we would do 10 x 5.2 divided by 2, which gives us 26, so your answer is 26 cm^2 (squared).
Hope this helps!
<h3><u>Answer</u> :</h3>
Radius of circle = 14ft
We have to find the area of circle
Area of circle of radius R is given by
⇒ A = π × R²
⇒ A = π × (14ft)²
⇒ A = 196π ft²
✪ <u>Learn More</u> :
Area of sqaure : (side)²
Area of rectangle = l × b
Area of triangle = 1/2 × b × p
<h3>
Jalen can decide a yellow car in 6 possible ways.</h3>
Step-by-step explanation:
The total number of options in Model = 3
{Compact, Luxury, Sport}
The total number of options in Transmission = 2
{Automatic, Manual }
The total number of options in color = 4
{Red, Blue, Black, Yellow }
The color he has decided is <u>YELLOW.</u>
<u></u>
So, the total number of options in model is 3 and transmission is 2.
⇒ The number of ways that can be decided = 3 x 2 = 6 ways
So Jalen can decide a yellow car in 6 possible ways.
Answer:
x ≈ 7.9 ft
Step-by-step explanation:
cos∅ = adjacent over hypotenuse
Since we are dealing with a right triangle, we can use trigonometry to help us solve for missing values:
cos44° = x/11
11cos44° = x
x = 7.91274
x ≈ 7.9 ft
