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topjm [15]
2 years ago
8

A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the f

ollowing probability distribution. 2 3 Result of a spin .x Probability : 0.50
(a) Find and interpret the mean of X.
(b) Find and interpret the standard deviation of x.
(c) It costs a player $5 for a single spin. The player will receive (in dollars) three times the number that appears. So the profit for one play of this game is Yeur 5. What is the mean and standard deviation of 7
Mathematics
1 answer:
Kipish [7]2 years ago
5 0

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

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Need answer asap, will give brainliest.
noname [10]

Answer:

Translation

Step-by-step explanation:

Vertical and horizontal translation

4 0
2 years ago
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Readme [11.4K]

The domain is t=0 to t=3.2  and range is y = 0 to 57.125 feet.

<u>What are Domain and range of a Function?</u>

  • The range of values that we are permitted to enter into our function is known as the domain of a function.
  • The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
  • After we enter an x value, the function outputs this sequence of values. The y values are those.
  • A function can be compared to a piece of equipment on an assembly line.
  • A few screws and nuts are located on one end of the assembly line, while a car is located on the other. The function is the device in the center. The domain is the screws and bolts that we insert into the machine. The car at the other can be thought of as the range.

Given function is : y = -16t^2 + 50t + 4

It hits the ground when y=0

0 = -16t^2 + 50t + 4

8t^2 -25t -2 = 0

t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds

domain is t=0 to t=3.2  [3.2]

take the derivative and set it equal to zero to find maximum height

-32t +50 = 0

t = 50/32 = 25/16 = 1.5625 seconds

-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height

range is y = 0 to 57.125 feet.   the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.

Know more about Domain and Range with the help of the given link:

brainly.com/question/20349151

#SPJ4

8 0
2 years ago
If you were to open an account that will pay you 3.5% interest with a deposit of $150 so find the following ending amount for ea
aev [14]

Answer:

FV= $160.68

Step-by-step explanation:

Giving the following information:

Initial investment= $150

Interest rate= 3.5% compounded annually

Number of periods= 2

T<u>o calculate the future value, we need to use the following formula:</u>

FV= PV*(1+i)^n

PV= present value

i= interest rate

n= number of periods

FV= 150*(1.035^2)

FV= $160.68

3 0
3 years ago
Probability is 7/19 what are the odds
VARVARA [1.3K]

Answer:

12/19

Step-by-step explanation:

19/19 - 7/19 = 12/19

4 0
2 years ago
2.876 rational number?
Triss [41]

Answer:

Yes, as long as it is terminating, or ending and does not repeat forever.

5 0
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