Exercise 1 Complete the table below and find the variance and standard deviation of the following probability distributions. X P(X) X• P(X) X• P(X) 3 1 10 1 2 10 2 3 10 2 4 10 2 10 25

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Can someone help me solve this with solutions, it's about Variance and Standard Deviation of a Discrete Probability Distribution! It'll be a great help! Would really appreciate it if you can write it down.

Exercise 1 Complete the table below and find
the variance and standard deviation of the
following probability distributions.
P(X)
X• P(X)
X² • P(X)
3
1
10
1
2
10
2
10
10
3
2
4
2
25
10
REX
CORE
Transcribed Image Text:Exercise 1 Complete the table below and find the variance and standard deviation of the following probability distributions. P(X) X• P(X) X² • P(X) 3 1 10 1 2 10 2 10 10 3 2 4 2 25 10 REX CORE
Exercise 2
Find the variance and standard deviation of the
probability distribution of the random variable
X, which can take only the values 3, 5, and 7,
given that P(3)= 7/30,P(5)= 1/3,andP(7)=13/30.
Exercise 3
The probabilities of a machine manufacturing 0, 1, 2,
3, 4, or 5 defective parts in one day are 0.75, 0.17,
0.04, 0.025, 0.01, and 0.005, respectively. Find the
variance and standard deviation of the probability
distribution.
REX
CORE
Transcribed Image Text:Exercise 2 Find the variance and standard deviation of the probability distribution of the random variable X, which can take only the values 3, 5, and 7, given that P(3)= 7/30,P(5)= 1/3,andP(7)=13/30. Exercise 3 The probabilities of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005, respectively. Find the variance and standard deviation of the probability distribution. REX CORE
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