i'd really appreciate it if you guys would stop giving me answers with no explanation. because when i get answers like that, the
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Answer and Explanation:
Given : The random variable x has the following probability distribution.
To find :
a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.
b. Calculate the expected value of x.
c. Calculate the variance of x.
d. Calculate the standard deviation of x.
Solution :
First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.25 0 0 0
1 0.20 0.20 1 0.20
2 0.15 0.3 4 0.6
3 0.30 0.9 9 2.7
4 0.10 0.4 16 1.6
∑P(x)=1 ∑xP(x)=1.8 ∑x²P(x)=5.1
a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.
Yes it is a probability distribution.
b) The expected value of x is defined as
c) The variance of x is defined as
d) The standard deviation of x is defined as
Answer:
The gallons of gas the tank contain now is <u>35 1/12</u>.
Step-by-step explanation:
Given:
Fuel tank contains 1 3/4 gallons of gasoline.
Casey adds 33 1/3 gallons of gasoline to the tank.
Now, to find the total gallons of gas the tank contain.
Converting the mixed fractions into improper.
Gallons of gasoline in fuel tank .
Gallons of gasoline Casey adds .
<u>According to question:</u>
By adding we get the total gallons of gasoline now tank contain:
Therefore, the gallons of gas the tank contain now is 35 1/12.