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
Anna11 [10]
3 years ago
15

A dealership sent out fliers to prospective customers, indicating that they had already won one of three different prizes. The t

hree prices are either a new car valued at 5,000, a $500 gas card, or a $55 gift card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 13,320, the chance of winning the gas card was 1 out of 13,320, and the chance of winning the gift card was 13,318 out of 13,320. Complete parts (a) and (b).
a). Using the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier?
b). Using the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier?
Mathematics
1 answer:
Juliette [100K]3 years ago
3 0

Answer:

The expected value of the prize won by a prospective customer receiving a flier os $55.4.

The standard deviation of the value of the prize won by a prospective customer receiving a flier is $43.

Step-by-step explanation:

The expected value of the prizes is the sum ofthe prizes, weighted by their probability of happening.

E(X)=\frac{1}{13,320}*5000+ \frac{1}{13,320}*500+ \frac{13,318}{13,320}*55\\\\E(X)=\frac{5000+500+732,490}{13,320} =\frac{737,990}{13,320}= 55,4

The expected value of the prizes is $55,4.

The standard deviation will be calculated as the square root of the variance:

V(X)=\frac{1}{13,320}*(5000-55.4)^2+ \frac{1}{13,320}*(500-55.4)^2+ \frac{13,318}{13,320}*(55-55.4)^2\\\\V(X)=\frac{4944.6^2+444.6^2+13,318*0.4^2}{13,320} =\frac{24,648,869.2}{13,320}= 1,850.52

\sigma=\sqrt{V(X)} =\sqrt{1850.52}=43

You might be interested in
the expression 5n + 2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and the 2 i
gogolik [260]
5(3)+2
15+2
17 monies

Just plug the amount of games in for n
8 0
3 years ago
Read 2 more answers
(HELP ME 15 PTS)
kap26 [50]

Answer:   \bold{\dfrac{27x^2y^3}{16}}

<u>Step-by-step explanation:</u>

\dfrac{(3x^2y^5)^3}{(2xy^3)^4}\\\\\\=\dfrac{3^3\cdot x^{2\cdot 3}\cdot y^{5\cdot 3}}{2^4\cdot x^4\cdot y^{3\cdot 4}}\\\\\\=\dfrac{27\cdot x^6\cdot y^{15}}{16\cdot x^4\cdot y^{12}}\\\\\\=\dfrac{27\cdot x^{6-4}\cdot y^{15-12}}{16}\\\\\\=\dfrac{27\cdot x^2\cdot y^3}{16}

8 0
2 years ago
Question on similar triangles attatched
Morgarella [4.7K]

Answer:

<u>h = 24 cm</u>

Step-by-step explanation:

The triangles are similar.

Their dimensions are proportional.

Finding scale factor :

  • DC/AE
  • 10/20
  • 1/2

Finding h :

  • h + h/2 = 36
  • 3h/2 = 36
  • 3h = 72
  • <u>h = 24 cm</u>
6 0
2 years ago
The distance between point Q and point P is 6!
Juli2301 [7.4K]

Answer:

zero

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the missing box
Zinaida [17]
The missing number is 0.

If you study the x values and the y values, you'll see that each time x increases by 2, y increases by 5.
3 0
3 years ago
Read 2 more answers
Other questions:
  • The key on a map shows 3/8th of an inch is 60 miles. If two cities are 4 5/8 inches apart, what is this value in miles?
    5·1 answer
  • A printer prints 75 pages in 5 minutes. At the same rate, how many pages does the printer print in 7 minutes? Solve and show you
    15·1 answer
  • PLEASE ANSWER i WILL PUT MOST BRAINLIEST!
    10·1 answer
  • Which expressionis equal to (-7x+5.1y)-(-9x+5.3y)
    14·1 answer
  • The Ravens won twice as many games as they lost. They played 96 games. How many games did they win?
    8·1 answer
  • The The high school art teacher has 9 cases of crayons with 52 boxes in each case.The elementary school art teacher has sl6 case
    12·1 answer
  • A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats were empty?
    8·1 answer
  • 1. Choose the value for x that would make this inequality true. x &gt; 5
    8·2 answers
  • What is the solution to system of linear equations graphed here?
    9·1 answer
  • Divide 81 ft in the ratio 5 :4
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!