Let the random variable X be the number of rooms in a randomly chosen owner-occu
ID: 3204307 • Letter: L
Question
Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. Here are the distributions of the number of rooms for owner-occupied units and renter-occupied units: Express "the unit has 8 or more rooms" in terms of X. What is the probability of this event? (Enter your answer to three decimal places.) Express the event (X > s) in words. The unit has more than eight rooms. The unit has less than eight rooms. The unit has at most eight rooms. The unit has at least eight rooms. The unit has eight rooms. What is the probability? (Enter your answer to three decimal places.) What important fact about discrete random variables does comparing your answers to (a) and (b) illustrate? We must pay attention to whether or not to include positive numbers in the probability computation. We must pay attention to whether or not to include the endpoints in the probability computation. The probability of x greaterthanorequalto a and x > a is always the same. The sum of probabilities does not always equal 1. The probability of x greaterthanorequalto a is always less than the probability of X > a.Explanation / Answer
a) (X>=8)
probabilty of the event=0.149+0.053+0.023 =0.225
b)the unit has more then 8 rooms in it.,
probability =0.053+0.023 =0.076
c)we must pay attention to weather or not to include end points in the probability computations
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