Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the randomvariable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Yappears in the accompanying table.y4546474849505152535455p(v) 0.05 0.10 0.12 0.14 0.25 0.17 0.03 0.06 0.05 0.02 0.01Calculate V(Y) and oy. (Round your variance to four decimal places and your standard deviation to two decimal places.)V(Y)Determine the probability that Y is within 1 standard deviation of its mean value.

The probability is the chance of occurrence between the each observation in the sample. The expected…

Answered: Airlines sometimes overbook flights.…

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

The literacy rate for a nation measures the proportion of people age 15 and over that can read and write. The literacy rate in Afghanistan is 28.1%. Suppose you choose 15 people in Afghanistan at random. Let X = the number of people who are literate. Find the probability that is four people are literate. 0.2259 0.2246 O 0.1927 None of the choices
a. Which of the following CANNOT be a probability distribution? Explain.i. p(x) = x / 6 for x = 1,2,3ii. p x = x for x = 1,2,3iii. p(x) = x / 5 for x = 1,0,1 b. An investor has $1000 available for a 1-year investment. The investor isconsidering the following three options:Option APossible return 30% 20% 0% -20%Probability 25% 40% 20% 15%Option BPossible return 50% 30% 0% -40%Probability 15% 50% 20% 15%Option CGuaranteed return 10%Probability 100%i. Based on the expected returns, which of these options should theinvestor choose?ii. Compute the standard deviations for Option A and Option B. Whichone of options A, B, and C has the least risk (i.e. the smallest standarddeviation), which one has the highest risk? What can you say aboutthe relationship between the expected returns and the risks of financialassets in the normal situation?
A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. X 4 O 0 P(X=x) 0.0857 2 0.3208 3 0.2415 0.2447 0.1073 i ne mean number of children in a family with four girls iS b. Obtain the standard deviation of the random variable. 0= 1.1209 (Round to four decimal places as needed.) c. Construct a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals. Choose the correct histogram below. B. O C. D. Number of Girls Number of Girls Number of Girls Number of Girls 0.5- 0.5- 0.4- 0.3- 0.4- 0.5- 0.4- 0.3- 0.2- 0.1- 0.3- 0.2- 0.2- n 0.1- 0.1- 0 0012 0 1 2 3 4 01234 01234 01234 The mean is 2.0400. (Type an integer or decimal rounded to four decimal places as needed.) The one-standard-deviation interval is.. the…
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 2, 2, 4, 5, and 6. Value x of X P(x x) -2 0.16 4 0.11 0.17 6
Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -4,-2,3,5, and 6.
Let X denotes the number of patients who die at a certain hospital in a day. The following table gives the probability function of X. 2 3 4 P(X x) 0.3 0.25 0.25 0.15 0.05 The expected number of deaths per day in the hospital is: 3.3 ) 2.4 17
Please do d through g please
Determine the value of c such that the function is a probability mass function. g= {(11,0.12), (13,0.4c), (15,0.4c), (17,0.22)} ... C = (Simplify your answer.)
Find the probability P(Ec) if P(E)=0.17.
Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 1, 2, 4, 5, and 6. Value x of X P(X = x) %3D 1 0.10 2. 0.20 4 6. 0.28
please do this typewritten asap.

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