![IdkHowToDoMath](/avatars/26210.jpg)
IdkHowToDoMath
29.10.2019 •
Mathematics
Four buses carrying 146 high school students arrive to montreal. the buses carry, respectively, 32, 44, 28, and 42 students. one of the studetns is randomly selected. let x denote the number of students that were on the bus carrying this randomly selected student. one of the 4 bus drivers is also randomly selected. let y denote the number of students on his bus. compute the expectations and variances of x and y
Solved
Show answers
More tips
- F Food and Cooking Pu-erh Tea: History, Varieties, Benefits, and Risks...
- H Health and Medicine How to Whiten Teeth and Get the Perfect Smile...
- F Food and Cooking How to Make Thin Pancakes: Recipe and Tips...
- S Style and Beauty Is Hot Scissor Haircutting Beneficial or Dangerous?...
- S Style and Beauty How to Get Rid of Under Eye Bruises?...
- F Food and Cooking Is Bacon Good for You?...
- S Style and Beauty Discover the Art of Nail Design: How Do You Paint Your Nails?...
- P Philosophy How to Develop Extrasensory Abilities?...
- O Other Everything You Need to Know About Kudyabliks...
- C Computers and Internet The Twitter Phenomenon: What it is and How to Use it...
Answers on questions: Mathematics
- M Mathematics We are standing on top of a 1040 feet tall building and launch a small object upward. The object s vertical position, measured in feet, after t seconds is h(t)=-16t+128t+1040....
- M Mathematics Select the correct answer. which statement describes a measurable financial goal? a open a 401(k) account to save for retirement. b. save for college using a 529 savings...
- M Mathematics Astore pays $10 for a bracelet, and the markup is 115%. a costumer will also pay a 5 1/2% sales tax. what will be the total cost of the bracelet to the nearest cent....
- M Mathematics Substitute the two equations. put into coordinate points. x – 2y = -7 8x – 9y = -7...
- H History How Métis jig changed over time....
- S Spanish La importancia de la industriaEn la actualidad ...
Ответ:
The expected value of X is
and the variance of X is ![Var(X)=\frac{226192}{5329} \approx 42.45](/tpl/images/0350/4055/cacc2.png)
The expected value of Y is
and the variance of Y is ![Var(Y)=\frac{179}{4} \approx 44.75](/tpl/images/0350/4055/e58d2.png)
Step-by-step explanation:
(a) Let X be a discrete random variable with set of possible values D and probability mass function p(x). The expected value, denoted by E(X) or
, is
The probability mass function
of X is given by
Since the bus driver is equally likely to drive any of the 4 buses, the probability mass function
of Y is given by
The expected value of X is
The expected value of Y is
(b) Let X have probability mass function p(x) and expected value E(X). Then the variance of X, denoted by V(X), is
The variance of X is
The variance of Y is
Ответ:
c
Step-by-step explanation: