Example 1. A random variable has the following probability distribution8.Values of X2.4.73P(x)3a5a7a9a11a 13a15a17a1. Determine the value of a2. Find (i) P(x <3); (ii) P(xs3); (iii) P(x > 7); (iv) P(2

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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 probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0)(b) P(X ≤ 0)(c) P(-1 < X ≤ 4)(d) P(X ≥ 1)
if the probability distribution of the (y) Variable is shown in the following table find the broker and the Variation Y 04 2 3 4 + 4 6 + (f (4) 16/16 IG 16 4 16
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1. A random variable x has the following probability function : -2 -1 1 3 P(x) 0.1 K 0.2 2k 0.3 3k Find the value of k, calculate mean and variance.
(i) Construct the probability distribution table (ii) What is the probability that there will be at most 1 car in the parking lot? (iii) Calculate the expected number of cars in the parking lot at midday
2. A random variable X has the following probability distribution. 1 2 3 4 5 6 7 8 f(X) k 2k 3k | 4k 5k 6k 7k 8k Find the value of, (i) ´k (ii) P(X<2) (iii) P(2
1. The probability distribution of the random variable X is shown in the accompanying table. - 5 - 2 0.31 P(X=x) 0.15 0.13 0.19 0.11 0.11 Find the following, rounded to two decimal places if necessary. P(X20) = P(-2
The federal government has enacted maximum reliable standards for air pollutants such as ozone let x be the number of days per year that the level of air pollution exceeds the standard in a certain day the probability distribution of x is given by X-. 0. 1. 2. 3. 4 P(x)- 0.34. 0.39. 0.19. 0.05. 0.03 There is 6 parts of this question. Find p(1)
a random variable has probability distribution: x= 0,1,2,3,4,5,6,7 and P(x) =0,k,2k,2k,3k,k*k.2k*k, 7k (k+1), the value of p(x<3)= O a. no one of them O b. 0.3 O c. 1
A discrete random variable x has the the following probability distribution X 2 3 4 5 6 P(X=x) 3k2k2 3k2k2 3kk 2kk kk i) Find the value of k? ii) Find P[X>5][3.5<X<6.5]P[X>5][3.5<X<6.5]

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Example 1. A random variable has the following probability distribution 8. Values of X 1 3 4. 7 P(x) 3a 5a 7a 9a 11a 13a 15a 17a 1. Determine the value of a 2. Find (i) P(x < 3); (ii) P(xs 3); (ii) P(x > 7); (iv) P(2 sw5); (v) P(2