iew Let X be the same continuous random variable from before: f ( x ) = { 3 x 0 ≤ x ≤ 3 0 otherwise (d) Find the CDF of X. (e) Draw a labeled sketch of the CDF of X. (f) Use the CDF to compute P(X > 2). Poll Question 7.4 Percentiles DEFINITION: Let p be a number between 0 and 1. The 100th percentile of the distribution of a continuous random variable X, denoted by n(p), is defined by n(p) p = F(n(p)) = [ f(x)dx x- That is, n(p) is the number on the x-axis, such that the shaded area under f(x) to the left of n(p) has size p. DEFINITION: The 50th percentile is also called the MEDIAN. Example: (cont.) (g) Find the 75th percentile for the continuous random variable X above.
iew Let X be the same continuous random variable from before: f ( x ) = { 3 x 0 ≤ x ≤ 3 0 otherwise (d) Find the CDF of X. (e) Draw a labeled sketch of the CDF of X. (f) Use the CDF to compute P(X > 2). Poll Question 7.4 Percentiles DEFINITION: Let p be a number between 0 and 1. The 100th percentile of the distribution of a continuous random variable X, denoted by n(p), is defined by n(p) p = F(n(p)) = [ f(x)dx x- That is, n(p) is the number on the x-axis, such that the shaded area under f(x) to the left of n(p) has size p. DEFINITION: The 50th percentile is also called the MEDIAN. Example: (cont.) (g) Find the 75th percentile for the continuous random variable X above.
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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please help me to solve part g
Transcribed Image Text:iew
Let X be the same continuous random variable from before:
f ( x ) = { 3 x 0 ≤ x ≤ 3
0 otherwise
(d) Find the CDF of X.
(e) Draw a labeled sketch of the CDF of X.
(f) Use the CDF to compute P(X > 2).
Poll Question 7.4
Percentiles
DEFINITION: Let p be a number between 0 and 1. The 100th percentile of the
distribution of a continuous random variable X, denoted by n(p), is defined by
n(p)
p = F(n(p)) = [ f(x)dx
x-
That is, n(p) is the number on the x-axis, such that the shaded area under f(x) to
the left of n(p) has size p.
DEFINITION: The 50th percentile is also called the MEDIAN.
Example: (cont.)
(g) Find the 75th percentile for the continuous random variable X above.
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