What is the answer to this
2 answers:
You might be interested in
Answer:
a) The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
b)
And we can use the cumulative distribution function given by:
And using this function we got:
c)
And using the complement rule and the cumulative distribution function we got:
Step-by-step explanation:
For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:
Part a
The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
Part b
For this case we want this probability:
And we can use the cumulative distribution function given by:
And using this function we got:
Part c
For this case we want this probability:
And using the complement rule and the cumulative distribution function we got:
Given:
The sum of three numbers is 212 .
The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.
To find:
The unknown numbers.
Solution:
We have,
First : Second = 13:16
Second: Third = 2:3
We need to combine these ratios, to get a single ratio for all three numbers.
Second: Third = 2×8:3×8 = 16:24
Now,
First: Second: Third = 13:16:24
Let the first, second and third numbers are 13x, 16x and 24x respectively.
So, the numbers are,
Similarly,
And,
Therefore, the three unknown numbers are 52, 64, 96.