Solve -4k-6=1.2 it says i have to add more words so theses are random
1 answer:
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The problem solved correctly as a single logarithm is
From the question, we are to simplify the given logarithm
The given logarithm is
From the subtraction law of logarithm, we have that
Thus,
The error in the solution was instead of multiplying, a was supposed to be divided by b
The correct solution is
Simplifying further
Hence, the problem solved correctly as a single logarithm is
Learn more on Simplifying logarithms here: brainly.com/question/247340
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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