1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yuradex [85]
3 years ago
10

Here’s my dilemma, I can accept a $1000 bill or play a game ten times. For each roll of the single die, I win $500 for rolling 1

or 2, I win $400 for rolling 3; and I lose $300 for rolling 4,5,or 6. Based on the expected value, I should accept the $1000 bill.
Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

Answer:

you should accept the $1,000 bill

Step-by-step explanation:

Given the information:

  • $500 for rolling 1 or 2
  • $400 for rolling 3
  • lose $300 for rolling 4,5,6

P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3

P (rolling a 3) = 1/6

P (rolling 4 or 5 or 6) = 3/6 = 1/2

Hence, the expected value for 1 time is:

E = (1/3)*500 + (1/6)*400 - (1/2)*300

E = $166 + $66 - $150

E = $82

Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820

The expected value is $82, meaning you should accept the $1,000 bill

You might be interested in
Please answer correctly !! Will mark brainliest !!!
Annette [7]

Answer:

no, because in a function, the input is paired or has only one output, but here 20 is paired to both 40 and 42, which doesn't make it a function.

7 0
3 years ago
malamud and mohammed bought the same eight CD's but mohammed bought used CD's so each was half the price malamud paid. if the me
Vlada [557]

Answer: $8 , $8.25

Step-by-step explanation: It says “ half the price ” so half of 16 is ( 8 ) and half of 16.50 is ( 8.25 )

8 0
2 years ago
an educational psychologist wanted to know the effects of four different methods of teaching arithmetic. using 12 classrooms, ea
Leya [2.2K]

The dependent variable depends on a particular situation. The independent variable does depends on the result of an experiment. The controlled variable is a variable whose value is constant.

What is dependent variable?

The variable being measured or tested in an experiment is known as the dependent variable. The results of the participants' tests, for instance, since that is what is being measured, would be the dependent variable in a study looking at how tutoring affects test scores.

What is independent variable?

This isn't the same as an experiment's independent variable, which is a variable that can stand on its own. Tutoring would be the independent variable in the aforementioned case. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).

What is controlled variable?

Anything kept constant or constrained in a research study is referred to as a control variable. Despite not being relevant to the study's objectives, this variable is controlled because it might have an impact on the results.

Numbers called parameters are used to define the characteristics of entire populations. Statistics are numerical representations of sample characteristics. One population parameter is the average income in the United States.

To learn more about variables, you visit the below site:

brainly.com/question/17344045?

#SPJ4

6 0
1 year ago
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Nat2105 [25]

Answer:

y=x-1

Step-by-step explanation:

since the slope is just one up and one over and it's positive it would just be x

and since the intercept is just -1 it would be y=x-1

8 0
3 years ago
Nia puts $750 into a savings account. The simple interest rate for the savings account is 3%. If Nia does not withdraw or deposi
7nadin3 [17]

Answer:

63%

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Please help, thanks a lot
    8·1 answer
  • I'm a bit confused. Can someone help?
    8·1 answer
  • In a large backyard, there are 4 times as many shrubs as trees. Altogether, there are 40 trees and shrubs. How many trees are in
    13·2 answers
  • -6b+2&lt;56 <br> Please help!!!!!
    11·1 answer
  • Suppose f(x)=x^3+5. find the graph of f(1/3 x)
    5·1 answer
  • Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Wri
    15·1 answer
  • I need to know how to solve 7/20=
    14·1 answer
  • 1.
    13·1 answer
  • In which triangle is cos x = 5/8?
    9·2 answers
  • I need help on number one please!<br> Points!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!