Answer:
17
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
If 12 apples makes 2 cups, we can assume that 6 apples make 1 cup.
Take the number of apples and divide it by 6 in order to find out the number of cups that can be made.
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:
-3=5
6=14
so it would be 6
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
24 = 3x - 12 (opposite sides of a parallelogram are equal)
24 + 12 = 3x
36 = 3x
36/3 = x
12 = x