Let X be a random variable with probability function f(x) constant. Find the probability that X is at most 3. Find the probability that X is at least 2. 0.317 K Submit Question I z=1,2,..,5, where K is a Notice that your answers have to be probabilities, that is, real numbers and not functions of K.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Let X be a random variable with probability function f(x)
constant.
Find the probability that X is at most 3.
Find the probability that X is at least 2. 0.317
K
Submit Question
I
z=1,2,..,5, where K is a
Notice that your answers have to be probabilities, that is, real numbers and not functions of K.
Transcribed Image Text:Let X be a random variable with probability function f(x) constant. Find the probability that X is at most 3. Find the probability that X is at least 2. 0.317 K Submit Question I z=1,2,..,5, where K is a Notice that your answers have to be probabilities, that is, real numbers and not functions of K.
Expert Solution
Step 1: Introduce the given information

Given probability function is,

f left parenthesis x right parenthesis equals K over x squared space semicolon space x equals 1 comma 2 comma.. comma 5

So, probability distribution table of f(x) is,

x12345
f(x)KK over 4
K over 9
K over 16
K over 25

Using formula,

sum from blank to blank of P left parenthesis x right parenthesis equals sum from blank to blank of f left parenthesis x right parenthesis equals 1

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