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
Activity 2: Find Mu and Friends Directions: Find the mean, variance and standard deviation of each of the following probability distributions. 1. P(x) 0.45 0.35 0.20 2. 2. 0.20 3 4. P(x) 0.15 0.15 0.30 0.20 2022.02.18 11:27
1.5
Pls help ASAP. Pls show all work. Pls do both of the asked questions pls i BEG.
Let X be a random variable that can take the values 2, 9, or 13. And let f(x) be its probability distribution. Find the variance of the random variable X, given that its probability distribution is f(2) = 0.1 f(9) = 0.4 f(13) = 0.5 Round your answer to an integer.
Suppose the probability function for x is such that p(x=1)=0.3, p(x=2)=0.4 and p(x=3)=0.3. What is the variance of x ?
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

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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