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
LekaFEV [45]
3 years ago
5

The Slow Ball Challenge or The Fast Ball Challenge.

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

Pitches = 7

P(Hit) = 80\%

Win = \$60

Lost = \$10

Fast Ball Challenge

Pitches = 3

P(Hit) = 70\%

Win = \$60

Lost = \$10

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

P(x) =^nC_x * p^x * (1 - p)^{n - x}

Where

n = 7 --- pitches

x = 7 --- all hits

p = 80\% = 0.80 --- probability of hit

So, we have:

P(x) =^nC_x * p^x * (1 - p)^{n - x}

P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}

P(7) =1 * 0.80^7 * (1 - 0.80)^0

P(7) =1 * 0.80^7 * 0.20^0

Using a calculator:

P(7) =0.2097152 --- This is the probability that he wins

i.e.

P(Win) =0.2097152

The probability that he lose is:

P(Lose) = 1 - P(Win) ---- Complement rule

P(Lose) = 1 -0.2097152

P(Lose) = 0.7902848

The expected value is then calculated as:

Expected = P(Win) * Win + P(Lose) * Lose

Expected = 0.2097152 * \$60 + 0.7902848 * \$10

Using a calculator, we have:

Expected = \$20.48576

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

P(x) =^nC_x * p^x * (1 - p)^{n - x}

Where

n = 3 --- pitches

x = 3 --- all hits

p = 70\% = 0.70 --- probability of hit

So, we have:

P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}

P(3) =1 * 0.70^3 * (1 - 0.70)^0

P(3) =1 * 0.70^3 * 0.30^0

Using a calculator:

P(3) =0.343 --- This is the probability that he wins

i.e.

P(Win) =0.343

The probability that he lose is:

P(Lose) = 1 - P(Win) ---- Complement rule

P(Lose) = 1 - 0.343

P(Lose) = 0.657

The expected value is then calculated as:

Expected = P(Win) * Win + P(Lose) * Lose

Expected = 0.343 * \$60 + 0.657 * \$10

Using a calculator, we have:

Expected = \$27.15

So, we have:

Expected = \$20.48576 -- Slow ball

Expected = \$27.15 --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

You might be interested in
What is the value of the expression –5x4 when x = –2?
igomit [66]
It is definitely c, 80
4 0
3 years ago
Use the diagram shown to find the height of the house. Round to the
o-na [289]
Eybrbdbfbrjhebrbfjhfhrhrbrvhfhfjf
5 0
2 years ago
Find the perimeter of a towel thay measures 2 feet by 3/4 foot
levacccp [35]
A typical towel is the shape of a rectangle.
Rectangles have 2 opposite pairs of congruent (equal) sides.
To find perimeter, find the sums of all the sides.

The measures of the towel's sides are:
2 feet
2 feet
3/4 foot
3/4 foot

Add these together to find the perimeter.

2 + 2 + 0.75 + 0.75 = 5.5

The perimeter of the towel is 5.5 feet.

Hope this helps!
:)
7 0
3 years ago
in a candy store a $5 jar of candy is labeled 50% off what is the discount what is the sale price of the jar of candy
beks73 [17]
The sale price would be $2.50.
3 0
3 years ago
What is the factor of 8ax-6x-12a+9
puteri [66]

Answer:

(4a - 3)(2x - 3)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The function rule C(m)=0.3m+
    10·2 answers
  • A coin is flipped four times, and the result is recorded for each flip. How many possible outcomes are there for the experiment?
    7·1 answer
  • I will give this much points for 7 (x+5)
    10·2 answers
  • PLEASE HELP!!! WILL GIVE BRANLIEST
    11·2 answers
  • NEED HELP ASAP PLEASE
    8·1 answer
  • Number 6 I need help
    15·1 answer
  • Que % es 25 de 200<br>que % es 30 de 480<br>que % es 65 de 80<br>que % es 24 de 30​
    10·1 answer
  • PLEASE HELP!!!! NEED ANSWER ASAP
    6·1 answer
  • Please please help help please please help me
    9·2 answers
  • HELP ME PLZZ<br> Which ratio is equal to 5 to 4 <br><br> 8 to 10<br> 10 to 8<br> 2 to 2<br> 15 to 16
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!