The random variable X has the probability distribution given in the following table.12345P(X = x)0.030.27where a, b and e are constants. It is given that E(X) = 3.5 and Var(X) = 1.17. Find the values of a, b and c.

Given problem Given that Given that E( X ) = 3.5 ∑X P(X) = 3.5 0.03 + 2a + 0.81 + 4b+ 5c = 3.5…

Answered: The random variable X has the…

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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Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.287 1 0.2846 2 0.2375 3 0.0992 4 0.0471 5 0.0446 6+ 0.0000 a) What is the probability that a randomly selected person has received four tickets in a three-year period?P(x=4)=P(x=4)=b) What is the probability that a randomly selected person has received four or more tickets in a three-year period?P(x≥4)=P(x≥4)=c) What is the probability that a randomly selected person has received more than four tickets in a three-year period? P(x>4)=P(x>4)=d) Would it be unusual to randomly select a person who has received four tickets in a three-year period? Yes No e) Which probability should we use to…
Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3891 1 0.281 2 0.1497 3 0.098 4 0.0471 5 0.0351 6+ 0.0000 What is the probability that a randomly selected person has received four or more tickets in a three-year period?P(x≥4)=What is the probability that a randomly selected person has received more than four tickets in a three-year period?P(x>4)=Help me, please?
0.035 0.063 0.182 0.430
Pls help ASAP. Pls show all work. Pls do both of the asked questions pls i BEG.
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 8 The variance of the days to complete the project is ________. a 1.665 b 1.542 c 1.428 d 1.322
Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3891 1 0.281 2 0.1497 3 0.098 4 0.0471 5 0.0351 6+ 0.0000 Would it be unusual to randomly select a person who has received four or more tickets in a three-year period? A. Yes B. NoIs it correct answer B?
The probability distribution for X and Y is shown by the table. Find the marginal distribution function value of X = 1. G(1) = X 2 3 1 0.06 0.10 0.04 2 0.10 0.12 0.13 3 0.15 0.19 0.11 Y
K 7 The probability that a bachelor's degree recipient in 2014 majored in biology is 20 Set-up an equation to find the odds of the event occurring. P(E) P (E') 20 20 (Type whole numbers.) .. 6 The odds of a bachelor's degree recipient in 2014 majoring in biology occurring are (Type whole numbers.) Find the odds of the event occurring. to
Q2: For the project, its data shown below find: ● Time in weeks that gives a probability of %97.5 Probability of finishing the project 4 weeks more than TE Probability of finishing the project 3 weeks less than TE Act. 1-2 2-3 2-5 2-4 3-4 3-7 5-6 6-7 4-7 0 8 4 7 7 4 7 10 10 4 M 10 5 8 9 6 8 14 14 5 24 12 21 11 8 15 24 24 12
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 13 If you doubled each number of days to completion in the Days (x) column, the variance of days to completion will be _________. a 5.710 b 4.758 c 3.965 d 2.855
g is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. x 0 1 2 3 4 Px 0.06 0.13 0.45 0.23 0.13 Find the probability that a student participates in more than two activities.
find the following values, A B C D E F G H I AND J

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The random variable X has the probability distribution given in the following table. 2 3 P(X = 1) 0.03 0.27 a. where a, b and c are constants. It is given that E(X) = 3.5 and Var(X)=1.17. Find the values of a, b and c. %3D %3D