Find E(X), Var(X), and the standard deviation of X, whereX is the random variable whose probability table is given inTable 5.Table 5Outcome1Probability43.2.419

According to given data: The value of E(X): EX=149+249+319EX=49+89+39EX=159EX=1.66

Answered: Find E(X), Var(X), and the standard…

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

Find the probability distribution for the random variable There is a package containing 16 resistors, of which 12 ard good and 4 are defective. We select a group of 3 of the resistors at random. The random variable X represents the number of defective resistors selected. Find the probability distribution for X. Also sketch a graph of the histogram representing this probability distribution.
The joint probability distribution of precipitation X (inches) and runoff Y(cfs) (discretized here for simplicity) due to storms in the Lower Kaskaskia Valley is as follows: (a) What is the probability that the next storm will bring a precipitation of 2 or more inches and a runoff of more than 20 cfs? (b) After a storm, a precipitation of 2 inches is measured. What is the probability that the runoff in this storm is 20 cfs or more? (c) Are X and Y statistically dependent? Substantiate your answer. (d) Determine and plot the marginal PMF of runoff. (e) Determine the correlation coefficient between X and Y.
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. x P(x) 0 0.028 * find the mean * find the standard deviation 1 0.148 2 0.324 3 0.324 4 0.148 5 0.028
Use this information about the overhead reach distances of adult females: µ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are normally distributed (based on data from the Federal Aviation Administration) If 49 adult females are randomly selected, find the probability that the mean overhead reach less than 207.0 cm.
Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. Help with the last question
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. X P(x) 0 0.028 1 2 3 4 5 0.156 0.316 0.316 0.156 0.028 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. C. No, the random variable x's number values are not associated with probabilities. D. No, the random variable x is categorical instead of numerical. E. No, the sum of all the probabilities is not equal to 1. D
In order to verify the accuracy of their financial accounts, companies use auditors on a regular basis to verify accounting entries. The company's employees make erroneous entries 5% of the time. Suppose that an auditor randomly checks three entries. a Find the probability distribution for Y, the number of errors detected by the auditor. b Construct a probability histogram for p(y). C Find the probability that the auditor will detect more than one error.
The random variable X is described by using the gamma distribution with expectation 10 and standard deviation 10. Find the probability that X will exceed 10.35.
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was u = 9.3 mg/L with 95% of the data ranging from 6.7 mg/L to 11.9 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. In USE SALT (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed…
A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. (b) What are the mean ? and variance ?2 of this distribution? (Round your mean to one decimal place and your variance to two decimal places.)
If the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x = 16.
Suppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. P( X > a ) = 0.13 P( 2.61 <= X <= a ) =0.03

SEE MORE QUESTIONS

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

Find E(X), Var(X), and the standard deviation of X, where X is the random variable whose probability table is given in Table 5. Table 5 Outcome 1 Probability 4 3. 2. 419