The number of cars per home in a middle-income community can be represented using a probability distribution where X is the number of cars in a home. This is depicted in table 4. Table 4: 4 0.07 6. 0.01 | P(X) 0.01 0.25 0.35 0.28 0.03 a. Determine the following probabilities (5 points): P(X = 3) ii. P(X > 3) ... 111. P(X > 4) b. Calculate the expected value and variance of this distribution.

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The number of cars per home in a middle-income community can be represented using a
probability distribution where X is the number of cars in a home. This is depicted in table 4.
Table 4:
P(X)
0.01
0.25
0.35
0.28
0.07
0.0.
0.01
a. Determine the following probabilities (5 points):
i.
P(X = 3)
ii.
Р(X 2 3)
111.
P(X > 4)
b. Calculate the expected value and variance of this distribution.
Transcribed Image Text:The number of cars per home in a middle-income community can be represented using a probability distribution where X is the number of cars in a home. This is depicted in table 4. Table 4: P(X) 0.01 0.25 0.35 0.28 0.07 0.0. 0.01 a. Determine the following probabilities (5 points): i. P(X = 3) ii. Р(X 2 3) 111. P(X > 4) b. Calculate the expected value and variance of this distribution.
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