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Question 3[10 points: 2 pts each]: We have the below function: x | -2 | -1 | 0 | 1 | 2 f(x) | 0.2 | 0.4 | 0.1 | 0.2 | 0.1 a) Verify that the above function is a probability mass function b) Calculate the probability P(X ? 0) c) Calculate the probability P(-1 ? X ? 1) d) Find expected value e) Find the variance and standard deviation

          Question 3[10 points: 2 pts each]:
We have the below function:

x | -2 | -1 | 0 | 1 | 2
f(x) | 0.2 | 0.4 | 0.1 | 0.2 | 0.1

a) Verify that the above function is a probability mass function
b) Calculate the probability P(X ? 0)
c) Calculate the probability P(-1 ? X ? 1)
d) Find expected value
e) Find the variance and standard deviation

Question 3[10 points: 2 pts each]:
We have the below function:

x | -2 | -1 | 0 | 1 | 2
f(x) | 0.2 | 0.4 | 0.1 | 0.2 | 0.1

a) Verify that the above function is a probability mass function
b) Calculate the probability P(X ? 0)
c) Calculate the probability P(-1 ? X ? 1)
d) Find expected value
e) Find the variance and standard deviation

Added by Joshua C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

07/20/2023

Step 1

$$f(x) = \{0, 0.2, 0.4, 0.1, 0.2, 0.1\}$$ Sum of all probabilities: $$0 + 0.2 + 0.4 + 0.1 + 0.2 + 0.1 = 1$$ Since the sum of all probabilities is equal to 1, the given function is a probability mass function. b) To calculate the probability P(X < 0), we need Show more…

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Question 3[10 points: 2 pts each]: We have the below function: x | -2 | -1 | 0 | 1 | 2 f(x) | 0.2 | 0.4 | 0.1 | 0.2 | 0.1 a) Verify that the above function is a probability mass function b) Calculate the probability P(X ≤ 0) c) Calculate the probability P(-1 ≤ X ≤ 1) d) Find expected value e) Find the variance and standard deviation