Example 2:The following table gives the probability distribution of a discrete random variable X:X01234567P(X)0.11 0.08 0.240.140.180.170.020.06Find the following probabilities:1. P (X= 3)4. P (2< X < 6)2. P (X<2)5. P (4< X < 7)7. Probability that X assumes at most 38. Probability that X assumes at least 53. P (X> 4)6. P (1 < X < 5)

Given: The probability distribution of a discrete random variable X is given below: X P(X) 0…

Answered: Example 2: The following table gives…

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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The following table contains the probability distribution for X = the number of re-transmissions necessary to successfully transmit a 5 GB data package through a double satellite media. X P(x) 0 0.40 1 0.30 2 0.25 3 0.05 Find the probability that there is at most two re-transmission. The probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. Number of Violations (v) 3 4 5 6 7 8 9 Probability P(v) 0.3100 0.1200 0.1700 0.1200 0.1300 0.1000 0.0500 What is the probability that on a given day, discipline officers will discover at most 6 violations of the student handbook? (Input answer in 4 decimal places) type your answer...
Which of the following tables represents a valid discrete probability distribution? X P(X=x) X P(X=X) X P(X=x) X P(X=x) 5 0.51 1 0.23 0 10 15 0.03 0.03 3 0.03 1 0.33 0.15 3 0.24 5 0.15 2 0.27 20 0.39 7 9 0.17 0.19 3 0.19 25 30 0.15 0.01 12 11 0.02 4 5 1.01 0.06 6 9 15 18 0.22 0.23 0.12 -0.03 0.43
1/2 ,7/8 , 3/4 , 1
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A student who is taking a stats class was assigned to watch the cars driving along Pereira Drive and count the number of people who are in each cars. Let Y be the number of people in a given car that the student observe. The following table shows the cdf of Y: 1 3 4 P(Y < y) 0.06 0.32 0.71 0.88 1 (a) What is the probability that a given car has 2 people in it? (b) What is the probability that a give car has 3 or more people in it. (c) What is the expected number of people in a given car that the student observe.
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