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:
126
Step-by-step explanation:
1200x.021=25.20 interest per year
25.20 x 5 years = 126
assumes no compounding
Answer:
I disagree with Luis's claim. While 8*3=24, 8^3 is 512mm. Which is 488mm more than 24mm.
201 inches.
Step-by-step explanation:
They use the expression s^3 to find the volume of plastic to make each cube. Luis says that if s=8, then the volume is 24 cubic mm. I disagree with Luis's claim. While 8*3=24, 8^3 is 512mm. Which is 488mm more than 24mm.
#3
Part A
Blue: 3ft - 36in
Red: 60in - 5ft
Yellow: 2.5ft - 30in
Green: 12ft - 144in
Purple: 240in - 20ft
Part B
1 foot = 12 inches
16.75ft = 201in
I'm not sure how to do the expression
but if 1 foot = 12 inches, and you substitute 16.75 for a foot, then you have 201 inches.
Answer:
<h2>The first option is correct 1675.5 cm^3</h2>
Step-by-step explanation:
Step one:
we are given the radius as
r=2cm, and the number of spheres is 50 in numbers
let us find the volume of one sphere and multiply the area by 50 to get the volume of the 50 spheres
Step two:


The volume of one sphere is 33.5in^3
Hence the volume of the 50 spheres will be
=33.5*50
=1675.7cm^3 approx.
Answer:
5/9
Step-by-step explanation:
total number of odd numbers / total numbers in the bag = 5/9