A box contains 10 tags, numbered 1 through 10, with a different number on each tag. A second box contains 8 tags, numbered 20 th
1 answer:
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Answer:
Step-by-step explanation:
For this case we have the following data given:
X 1 2 3 4 5
F 74 10 11 3 2
The total number of values are 100, so then we can find the empirical probability dividing the frequency by 100 and we got the followin distribution:
X 1 2 3 4 5
P(X) 0.74 0.10 0.11 0.03 0.02
Previous concepts
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
Solution to the problem
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
In order to find the standard deviation we need to find first the second moment, given by :
And using the formula we got:
Then we can find the variance with the following formula:
And then the standard deviation would be given by:
The expression is referring to the 4th number in the nth row of the Pascal triangle.
The expression is given.
We need to find which place number in the nth row of the pascal triangle the given expression represents.
<h3>What is a Pascal Triangle?</h3>Pascal triangle is an arrangement of binomial coefficients in a triangular form and the middle numbers are filled such that each number is the sum of the two numbers just above it.
The elements of the nth row of Pascal's triangle are given by:
The formula for Pascal's triangle is:
Where represents
elements in the nth row.
We have,
So applying the Pascal triangle formula.
We see that we are referring to the 4th number in the nth row of the Pascal triangle.
Because represents
element in the nth row of the pascal triangle.
Learn more about the Pascal triangle here:
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