Question

How do you find the absolute value of the largest difference between the area of one bin in the binomial probability histogram and the normal approximation?

Answer #1

Step 1: Approximate the given data with a binomial distribution and fit a binomial histogram. Compute the number of bins and the corresponding bin-sizes using one of the methods from Sturges' formula, Doane's formula, or Scott's reference rule. Once the bin-widths and number of bins are obtained, compute the area using corresponding frequency values from the distribution.

Step 2: Repeat the above process for normal distribution as well.

Step 3: Compute the pair-wise difference between the bin-areas from the two distributions and report the one with the highest absolute value.

1)Discuss how you can tell the difference between a
Binomial random variable and a Poisson random variable
2)Discuss how to calculate probabilities for
continuous random variables.
3)Give three interpretations for the area under a
normal curve.
4)Discuss what a normal probability plot is used for
and how it is used.

For a symmetric distribution with mean µ, the mean absolute
deviation is the expected value MAD(X) = E(|X − µ|), of the
absolute difference |X − µ|, which is strictly positive. The mean
absolute deviation for the standard normal distribution is an
integral 1 √ 2π Z ∞ −∞ |x| e −x 2/2 dx = p 2/π = 0.7979....
Part a: Find the MAD of the Bernoulli-1/2 distribution.
Part b: Find the MAD of the binomial distribution Bin(2,
1/2).
Part...

Find the area of the largest rectangle with one corner at the
origin, the opposite corner in the first quadrant on the graph of
the parabola f(x)=600−8x2, and sides
parallel to the axes. The maximum possible area is ___.
Find the area of the largest rectangle with one corner at the
origin, the opposite corner in the first quadrant on the graph of
the line f(x)=12−2x, and sides parallel
to the axes. The maximum possible area is ___

What is the difference between the NORM.DIST and the NORM.INV
functions on Excel?
Select one:
One is used with z-scores and the other is used with actual data
values
One is used when you want the area to the left of a data value
and the other is used when you want the area to the right of a data
value
One is used when you want to find a probability and the other is
used when you want to...

Use the normal approximation of the binomial to find the
probability of getting between 12 to 16 heads in 36-coin flips.

The one-sample z-test for proportions determines the p-value
using the “normal approximation method”. This method approximates
the exact p-value that would have been found if the binomial
formula were used. But, the “normal approximation method” only
works well when the sample size is “large enough”.
a. If the hypothesis test is done by hand, why do you think we
use the “normal approximation method” for large sample sizes
instead of using the binomial formula to find p-values?
b Why do...

How do you find the area of the surface
x2+y2-z=0 between z=1 and z=3 ?

What is the difference between expected utility and the utility
of the expected value? How do you calculate each?

What is the difference between comparative advantage and
absolute advantage in Ricardo’s theorizing? Which one determines a
country’s specialized production?

What is the difference between future value and present value?
What data do you need to do a future value or present value
calculation?

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