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
Wewaii [24]
2 years ago
9

Laura's school is holding an outdoor activities celebration event for its 20th anniversary. Laura decides to participate in the

Best Striker football game. In this game, the player shoots at goal which is split into 6 regions assigned with the scores, X, as shown in the diagram below. 2 1 4 -3 0 If the shot goes outside of the mini goal player receives a score of O. The following table shows the probability distribution for X 2 4 -1 Score (X) -3 3 12 0 4 12 1 2 12 1 12 P 1 12 Pr(X =) [1] 121 (a) Find the exact value of p. Laura plays the game once. (b) Calculate the expected score. Laura plays the game twice. (e) Find the probability that she has a total score of 5 after two rounds.
Mathematics
1 answer:
Pachacha [2.7K]2 years ago
4 0

Probabilities are used to determine the chances of Laura winning an activity

  • The value of p is 1/12
  • The expected score of the game is -1/6
  • The probability that she has a total score of 5 after two rounds is 0

<h3>How to calculate the value of p</h3>

To calculate the value of p, we make use of the following probability formula

\sum P(x) = 1

So, we have:

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + p + \frac 1{12} = 1

Collect like terms

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + \frac 1{12}  + p= 1

Evaluate the sums, on the left-hand side

\frac{11}{12} + p = 1

Subtract 11/12 from both sides

p = \frac 1{12}

Hence, the value of p is 1/12

<h3>(b) How to calculate the expected score</h3>

This is calculated using the following expected value formula

E(x) = \sum x * P(x)

So, we have:

E(x) = -3 * \frac{3}{12} -1 * \frac 1{12} + 0 * \frac 4{12} + 1 * \frac 2{12} + 2 * \frac 1{12} + 4 * \frac 1{12}

Evaluate the products

E(x) =  -\frac{9}{12} - \frac 1{12}  + \frac 2{12} + \frac 2{12} + \frac 4{12}

E(x) =  -\frac 2{12}

Simplify

E(x) =  -\frac 1{6}

Hence, the expected score of the game is -1/6

<h3>(c) The probability that she has a total score of 5 after two rounds</h3>

From the table, we have:

P(5) = 0

For after two rounds, we make use of the following equation

P(5) * P(5) = 0 * 0

P(5) * P(5) = 0

Hence, the probability that she has a total score of 5 after two rounds is 0

Read more about probabilities at:

brainly.com/question/25870256

You might be interested in
Simplify 5a+7b-12a+6c-13b-22a+53c
vekshin1

Answer:

−29−6+59

Step-by-step explanation:

5 0
3 years ago
What is the common ratio for this geometric sequence?<br> 5,15,45,135...
LiRa [457]

Answer:

3

Step-by-step explanation:

To find the common ration, we take the 2nd term and divide it by the first term

15/5  = 3

Let check by taking the third term and dividing by the 2nd term

45/15 =3

The common ratio is 3

5 0
3 years ago
Write an equation of the line below.
kondaur [170]

The equation of the given line above is y=3x-1. The slope of the line is 3/1 (3x) and the y-intercept which is where the line crosses the y-axis is (0,-1) When you plug these parameters into the equation you will get the equation y=3x-1

6 0
3 years ago
WILL MARK BRAINILESTWhich statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options.
shutvik [7]

Answer:

Statements 2, 4, and 5

Step-by-step explanation:

15≥22+x

okay so that's

22+x≤15

and that is

x≤-7

the graph would not be a closed circle, it is a vertical line.

this means your 3 correct statements would be:

x less-than-or-equal-to negative 7,

–6 is part of the solution.

–7 is part of the solution.

the last two are true based on the inequality.

7 0
3 years ago
(-15)(-4) help meeee
Hunter-Best [27]

The answer is 60 (wow this was a fast answer wish people answered my questions this fast)

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do you do this?????
    14·1 answer
  • -5(3x-4)+4=114 answer
    9·2 answers
  • (The choices for the first one is 90 or 180)
    15·2 answers
  • OF THE 200 PACKAGES OF BAGELS SOLD , 15 OF THEM ARE SESAME SEED BAGLES. WHAT PERCENT OF THE BAGEL PACKAGES SOLD ARE SESAMES SEED
    9·2 answers
  • Which expression is equal to (f - g)(x)?
    13·2 answers
  • 2x - 3y = 16 5x - 3y = 13 Solve the system of equations.
    8·2 answers
  • The perimeter of a rectangle is 200 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed
    11·1 answer
  • Solve for X. (nearest WHOLE degree)
    14·1 answer
  • Help plzzz Thank you smmmm! ​
    10·1 answer
  • Write an algebraic expression
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!