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
Galina-37 [17]
3 years ago
5

Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.

Otherwise you pay me $21.
Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Suppose a basketball player has made 231 out of 361 free throws.

This means that p = \frac{231}{361} = 0.6399

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

E = -31*0.4095 + 21*0.5905 = -0.29

The expected value of the proposition is of -0.29.

You might be interested in
Find 3 consecutive odd numbers where the product of the smaller two numbers is 22 less than the square of the largest number.
Anton [14]

Answer:

1,3,5

Step-by-step explanation:

1) your 3 consecutive odd integers would be x,x+2,x+4

The smaller two integers are:x and x+2

So

(X)(x+2)=(x+4)^2-22

Distribute

X^2+2x=x^2+16+8x-22

X^2 cancels each other out and 16-22=-6

2x=8x-6

Add 6 on both sides

2x+6=8x

Subtract “2x” on both sides

6=6x

1=x

Hope this helps!

8 0
3 years ago
Pls help just look at the picture's
astra-53 [7]
Hope this helps, the blue one is the reflection Over the x axis and the orange is the 180 rotation

4 0
3 years ago
Choose all the expressions with accurately written descriptions.
valentina_108 [34]
There are two expressions which do not match with the written descriptions to ist right.

Those are:

1) (4x - 3)^2 - 1: see that the written description does not square the difference of 4x and 3

2) 3(5x^2 + 14x + 7): see that the written description tells that 5 is added to the square ox x, which is not what the expression shows.

The other 4 expressions match with the written descriptions.

So, you can choose those other 4 expressions.
4 0
3 years ago
Please help! I will mark brianliest!!
fgiga [73]

Answer:

Perimeter: 310 units

Step-by-step explanation:

If x=4 and y=5, then the measure of the lengths would be..

8y+19= 8(5)+19= 59

8x+64= 8(4)+64= 96

13y-6= 13(5)-6= 59

16x+32= 16(4)+32= 96

To check if all these measurements are congruent, we can see if they match up with the measure of their parallel line, which they do in this case because 59=59

96=96

To find the perimeter of any shape, we add all the side lengths together

59+59+96+96= 310

<em>Hope I was able to help! Good Luck!</em>

<em />

5 0
3 years ago
Read 2 more answers
-3x+5y=-9 and 4x+8y=12
insens350 [35]

-3x + 5y = -9

4x + 8y = 12

Simplify the second,

x + 2y = 3

Times three,

3x + 6y = 9

Add to the first equation,

11y = 0

y = 0

-3x + 5(0) = -9

x = 3

Answer: x=3, y=0

4 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me with this question?
    9·2 answers
  • A nurse worked from 8:15 am until 11:30 am and 12:30 pm until 4:15 pm. Estimate the total number of hours worked.
    11·1 answer
  • A sum of money is invested at 21% compounded quarterly. About how long will it take for the amount to double
    11·1 answer
  • What's the depth of 5cm
    11·1 answer
  • Mario has 3 1/6 lbs of trail mix. He puts equal amounts of trail mix into 5 bags for his friends. If he uses all of the trail mi
    13·1 answer
  • A horse runs three races. The first is 2 miles, the second is 1,300 yards, and the last is 850 yards. How many yards does the ho
    5·2 answers
  • If P(A) = 1/10 , find P(A)
    8·1 answer
  • Need help on homework plz and thank u :)
    13·2 answers
  • The sum to infinity of a geometric series is 32.The sum of the first four terms is 30 and
    5·1 answer
  • On a coordinate plane, a right triangle has points A (negative 5, negative 6), B (negative 5, negative 2), C (negative 2, negati
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!