Question 4 An unfair die looks like an ordinary six-sided die but the outcomes are not equally likely. The probability distribution of the face value, X, is as follows: 2 3 0.2 0.31 1 -21) (0.15 Ti P(X = xi) P(X=1) X=5 |P(X=4)=0.19 4 P(X=1) 0.19 5 0.12 1. Use the random variable notation to express symbolically each of the following: The probability that the face value is exactly 4 is equal to 0.19. 6 The probability that the face value is exactly 1. 0.03 Total 1
Question 4 An unfair die looks like an ordinary six-sided die but the outcomes are not equally likely. The probability distribution of the face value, X, is as follows: 2 3 0.2 0.31 1 -21) (0.15 Ti P(X = xi) P(X=1) X=5 |P(X=4)=0.19 4 P(X=1) 0.19 5 0.12 1. Use the random variable notation to express symbolically each of the following: The probability that the face value is exactly 4 is equal to 0.19. 6 The probability that the face value is exactly 1. 0.03 Total 1
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Transcribed Image Text:Question 4
An unfair die looks like an ordinary six-sided die but the outcomes are not equally likely. The probability
distribution of the face value, X, is as follows:
1
2
3
Xi
P(X = x₁)
0.15
P(X=1)
|X=5
|P(X=4)=0.19
P(X=1)
|X=5
P(X=4)=0.19
0.2
P(X=1)
|X=5
P(X-4)=0.19
0.31
4
0.19
5
0.12
1. Use the random variable notation to express symbolically each of the following:
The probability that the face value is exactly 4 is equal to 0.19.
The probability that the face value is exactly 1.
An event in which the face value is exactly 5.
6
2. Use the above probability distribution table to find the following:
a. P(4 < X < 5) =
b. P(3 < X < 5) =
c. P(X ≤ 5)
0.03
(Round the answer to 2 decimals)
(Round the answer to 2 decimals)
(Round the answer to 2 decimals)
Total
1
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