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Strike441 [17]

I’m not sure I understand your question

4 0

3 years ago

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if

oksian1 [2.3K]

Answer: The mean and variance of Y is $0.25 and $6.19 respectively.

Step-by-step explanation:

Given : You and a friend play a game where you each toss a balanced coin.

sample space for tossing two coins : {TT, HT, TH, HH}

Let Y denotes the winnings on a single play of the game.

You win $1; if the faces are both heads

then P(Y=1)=P(TT)= $\dfrac{1}{4}=0.25$

You win $6; if the faces are both heads

then P(Y=6)=P(HH)= $\dfrac{1}{4}=0.25$

You loose $3; if the faces do not match.

then P(Y=1)=P(TH, HT)= $\dfrac{2}{4}=0.50$

The expected value to win : E(Y)= $\sum_{i=1}^{i=3} y_ip(y_1)$

$=1\times0.25+6\times0.25+(-3)\times0.50=0.25$

Hence, the mean of Y : E(Y)= $0.25

$E(Y^2)=\sum_{i=1}^{i=3} y_i^2p(y_i)\\\\=1^2\times0.25+6^1\times0.25+(-3)^2\times0.5\\\\=0.25+1.5+4.5=6.25$

Variance = $E[Y^2]-E(Y)^2$

$=6.25-(0.25)^2=6.25-0.0625=6.1875\approx6.19$

Hence, variance of Y = $ 6.19

6 0

4 years ago

Un motor de combustión interna que cumple el ciclo ideal de Otto, funciona con aire como gas ideal. Tras el proceso de admisión

sineoko [7]

Answer:

i no speak spanish

Step-by-step explanation:

6 0

3 years ago

A trains travel is represented by the equation y= 17.5x where y represents the total number of miles the train travel in x hours

MakcuM [25]

Answer:
Jesse - 150 miles per hour.
Step-by-step explanation:
On the graph, it shows that the rise is 140 and the run is 1. 140/1 is 140, making the slope for Khalid is 140. The equation (y = 150x) shows that the slope is 150 (y = mx). Since 150 is greater than (>) 140, Jesse's train is more faster than Khalid since she is moving at 150mph rather than 140mph.

3 0

3 years ago

There are two right circular cylinders. The radius of the first cylinder is 4 centimeters, and its height is 5 centimeters. The

Lina20 [59]

Answer:

D. 9:1

Step-by-step explanation:

The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).

The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.

4 · 3 = 12

However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.

You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:

3.14 · 4² · 5 = 251.2

3.14 · 12² · 5 = 2,260.8

The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.

2.260.8 ÷ 9 = 251.2

5 0

3 years ago

Help ASAP I’ll Mark you as brainlister