Deciles The deciles of any distribution are the values at the 10th, 20th, . . . , 90th percentiles. The first and last deciles are the 10th and the 90th percentiles, respectively. (a) What are the...

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Deciles The deciles of any distribution are the values at the 10th, 20th, . . . , 90th percentiles. The first and last deciles are the 10th and the 90th percentiles, respectively.

(a) What are the first and last deciles of the standard Normal distribution?


(b) The heights of young women are approximately Normal with mean 64.5 inches and standard deviation 2.5 inches. What are the first and last deciles of this distribution? Show your work.




Answered Same DayDec 25, 2021

Answer To: Deciles The deciles of any distribution are the values at the 10th, 20th, . . . , 90th percentiles....

Robert answered on Dec 25 2021
107 Votes
Let X denote number of correct in n = 10 independent questions, where each has
a probability p = 0.
25
We denote this by:
X ∼ Binomial(n = 10, p = 0.25)
Probability of x number of correct is:
P (X = x) =
(
n
x
)
px(1 − p)(n−x)
where
(
n
x
)
is combinatorial expression:(
n
x
)
=...
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