Let the random variable X be the number of rooms ina randomly chosen owner-occupied housing unit in acertain city. The distribution for the units is givenbelow.6| 7P(X)0.080.20.470.15 0.040.03 0.01 ?X34| 58 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 unitwith 10 rooms? P(X =10) = 0.98(c) What is the probability that a unit chosen atrandom has three rooms? P(X = 3) =(d) What is the probability that a unit chosen atrandom has more than 5 rooms? P(X > 5) =(e) What is the probability that a unit chosen atrandom is not a 10-room unit? P(X + 10) = The amount of time it takes for a student to completea statistics quiz is uniformly distributed (or, given by arandom variable that is uniformly distributed) between33 and 62 minutes. One student is selected atrandom. Find the probability of the following events.A. The student requires more than 58 minutes tocomplete the quiz.Probability = 0.624B. The student completes the quiz in a time between38 and 43 minutes.Probability =C. The student completes the quiz in exactly 40.65minutes.Probability =

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Answered: Let the random variable X be the number…

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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High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
The probability distribution of the random variable X is shown below. X -3 -2 1 5 6 10 P(X=x) 0.019 0.067 0.084 0.056 0.16 0.614 The probability that x is at most 1 is (blank)
How do I find the mean?
The Southside Bowling Alley has collected data on the number of children that come to birthday parties held at the bowling alley. Let the random variable X = the number of children per party. The distribution for the random variable X is given below. k 5 67 789 10 P(X=K) 0.15 ? 0.1 0.25 0.1 0.2 a) The probability that at least 7 children will come to a party is [Select] b) The expected number of children that will attend this party is E(X)= [Select] ✓. E (x) = Σk · P(X = k). Write answer to two decimal places. c) If the standard deviation for the number of children per party is 1.72, then the variance will be [Select] Write answer to two decimal places.
Handwritten
Is X a random variable if it has a probability distribution. Why or why not? x P(X=x) 1 0.45 2 0.31 3 0.29
How do I find the mean with an negative number?
Attached
The probability distribution of random variable, X, is defined as follows: X 0 1 2 3 4 Probability 0 .3 .1 .3 .3 The P(X = 0) =?
K According to a survey, the probability that a randomly selected worker primarily drives a bicycle to work is 0.792. The probability that a randomly selected worker primarily takes public transportation to work is 0.071. Complete parts (a) through (d). (a) What is the probability that a randomly selected worker primarily drives a bicycle or takes public transportation to work? P(worker drives a bicycle or takes public transportation to work) = 0.863 (Type an integer or decimal rounded to three decimal places as needed.) (b) What is the probability that a randomly selected worker primarily neither drives a bicycle nor takes public transportation to work? P(worker neither drives a bicycle nor takes public transportation to work) = 0.137 (Type an integer or decimal rounded to three decimal places as needed.) (c) What is the probability that a randomly selected worker primarily does not drive a bicycle to work? P(worker does not drive a bicycle to work) = ☐ (Type an integer or decimal…

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