In this example, the random variable x represents the total number of pets a hou
ID: 2908956 • Letter: I
Question
In this example, the random variable x represents the total number of pets a household has and P(x) represents the probability that a household will have x number of pets. Using these data, find the following:
1. What is the probability that a household has 2 pets? In other words, find P(x = 2).
2. What is the probability that a household will have less than 3 pets? In other words, find P(x < 3).
3. What is the probability that a household will have more than 2 pets? In other words, find P(x > 2). In your response, please describe your approach to finding these probabilities.
Number of pets (x) P(x) i.e Probavility x will occur 0 .30 1 .56 2 .09 3 .04 4 .01Explanation / Answer
1.
P( X = 2) = 0.09
2.
P( X < 3) = P( X <= 2)
= P( X = 0) + P( X = 1) + P( X = 2)
= 0.30 + 0.56 + 0.09
= 0.95
3.
P( X > 2) = P( X >= 3)
= P( X = 3) + P( X = 4)
= 0.04 + 0.01
= 0.05
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