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Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. 45 6 7 8 9 10 P(X)0.080.20.470.15 0.04 0.03 0.01 ? X 3 (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: DISCRETE (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = 0.98 %3D (c) What is the probability that a unit chosen at random has three rooms? P(X = 3) = (d) What is the probability that a unit chosen at random has more than 5 rooms? P(X > 5) = (e) What is the probability that a unit chosen at random is not a 10-room unit? P(X + 10) =

Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. 45 6 7 8 9 10 P(X)0.080.20.470.15 0.04 0.03 0.01 ? X 3 (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: DISCRETE (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = 0.98 %3D (c) What is the probability that a unit chosen at random has three rooms? P(X = 3) = (d) What is the probability that a unit chosen at random has more than 5 rooms? P(X > 5) = (e) What is the probability that a unit chosen at random is not a 10-room unit? P(X + 10) =

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. 6| 7 P(X)0.080.20.470.15 0.040.03 0.01 ? X 3 4| 5 8 9 10 (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: DISCRETE (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = 0.98 (c) What is the probability that a unit chosen at random has three rooms? P(X = 3) = (d) What is the probability that a unit chosen at random has more than 5 rooms? P(X > 5) = (e) What is the probability that a unit chosen at random is not a 10-room unit? P(X + 10) =
Transcribed Image Text:Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. 6| 7 P(X)0.080.20.470.15 0.040.03 0.01 ? X 3 4| 5 8 9 10 (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: DISCRETE (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = 0.98 (c) What is the probability that a unit chosen at random has three rooms? P(X = 3) = (d) What is the probability that a unit chosen at random has more than 5 rooms? P(X > 5) = (e) What is the probability that a unit chosen at random is not a 10-room unit? P(X + 10) =
The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable that is uniformly distributed) between 33 and 62 minutes. One student is selected at random. Find the probability of the following events. A. The student requires more than 58 minutes to complete the quiz. Probability = 0.624 B. The student completes the quiz in a time between 38 and 43 minutes. Probability = C. The student completes the quiz in exactly 40.65 minutes. Probability =
Transcribed Image Text:The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable that is uniformly distributed) between 33 and 62 minutes. One student is selected at random. Find the probability of the following events. A. The student requires more than 58 minutes to complete the quiz. Probability = 0.624 B. The student completes the quiz in a time between 38 and 43 minutes. Probability = C. The student completes the quiz in exactly 40.65 minutes. Probability =
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