3(-13-2)= -45
Step-by-step explanation:
We need to write the equation of:
three times the difference of -13 and 2 amounts to -45 written as an equation
The equation is:
3(-13-2)= -45
Keywords: Convert Sentence into Equations
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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



3 times a # (# isn't specified, so you should use a variable): 3x
result is 5: =5
Put it all together: 3x=5
Answer:
8 in^2.
Step-by-step explanation:
F = P * A
22 = 2.75 * A
A = 22/ 2.75
A = 8 in^2.
Im sorry but this question is not worded right