Problem 3.1: Suppose the discrete random variable X has the probabilitydistribution listed in the table below.(a) c(c) E[3 - 2X](e) ox(b) E[X](d) Var(X)45612TO017 8 9f(x) 0.15 0.20 0.16 0.27 e 0.09 0.03

As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

Answered: Problem 3.1: Suppose the discrete…

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...

See similar textbooks

Similar questions

4. The joint probability distribution of random variables, X and Y, is shown in the following table: X 1 0.48 0.02 Y 0.05 0.03 3 0.2 0.1 4 0.04 0.08 (a) Calculate P(X = 1|Y = 3). %3D (b) Find the mode of the joint probability distribution. (c) Calculate the variance V(Y|X = 5). (d) Calculate the variance V(3Y- X).
Probability distribution.
5. The random variable X, representing number of errors per 100 lines of software code, has the following probability distribution: 3 4 6. f(x) 0.05 0.23 0.4 0.02 0.3 Find the mean of g(X) given g(X) = (2X – 5)
(c) Find the probability that exactly one of the cases is According to CDC estimates, more than 2.8 million people resistant to any antibiotic. Give your answer to four decimal places. in the United States are sickened each year with antibiotic-resistant infections, with at least 35,000 dying as a result. Antibiotic resistance occurs when disease-causing microbes become resistant to antibiotic drug therapy. Because this resistance is typically genetic and transferred P(X = 1) = to the next generations of microbes, it is a very serious public health problem. Of the infections considered most serious by the CDC, gonorrhea has an estimated 1.14 million new cases occurring annually, and What is the probability that at least one case is resistant to approximately 50% of those cases are resistant to any any antibiotic? (Hint: It is easier to first find the probability antibiotic. Assume a health clinic in California sees 5 that exactly zero of the 5 cases were resistant.) Give your patients…
1.The table below presents the probability function of random variable Y. Y=y P(Y=y) 1 2 3 4 0.4 0.3 0.2 0.1 Find E (), E(Y2 – 1),V(Y)
1. The number of cellphones sold per day at a local cellphone shop, along with its corresponding probabilities, is shown in the table. Find the mean, variance and standard deviation of the probability distribution P(X) x P(x) x2 P(x) 1 0.15 2 0.35 3 0.40 4. 0.10 u = =x2 • P(x) = 2. Find the mean, variance and standard deviation of the probability distribution of the random variable X, which can take only the values of 1, 2, 3 and 4, given that P(1) = P(2) = 5 P(3) =; and P(4) = 5 %3D %3D %3D P(X) x P(x) x2 P(x) u = u = Ex2 • P(x) =
1. The cumulative probability function of a discrete random variable X is given in the following table: 1 2 3 f(x) 1/8 3/8 3/8 1/8 a. Find the distribution function F(x) for the random variable X. b. Graph this distribution function.
Question 4 (a) A discrete random variable X has the following probability distribution: X = x 2 P(X = x) k 3k 2k 5k () Determine the value of constant k. (i) Determine P(X > 2). SX (b) A continuous p.d.f for a random variable X with function, P(x)= for 01|x<4). (c) The probability that a resident of Senadin, Miri supports a wildlife conservation campaign is 0.6. A sample of 18 residents of Senadin, Miri is chosen at random. Given that the sample is binomial distribution, calculate the probability that: (i) exactly 9 residents support the campaign. (ii) less than 3 residents support the campaign. (d) The number of accidents occurring in a traffic light each week follows a Poisson distribution with mean 1.5. Determine the probability that: (i) less than 2 accidents occur in a particular week, (ii) more than 5 accidents occur in two weeks.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

Problem 3.1: Suppose the discrete random variable X has the probability distribution listed in the table below. (e) ox (a) c (b) E[X] (c) E3-2X] (d) Var(X) I 4 5 6 7 8 9 12 70.18 f(x) 0.15 0.20 0.16 0.27 0.09 0.03