Please help me on Interpreting Scatter Plots on problem 1

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

Say a certain service industry has 78.9 thousand jobs in 2003, but expects to increase at an average annual rate of 2.65 thousan

Alex_Xolod [135]

Answer:

33%

Step-by-step explanation:

In 2003, there were 78.9 thousand jobs in the industry and it increases annually by 2.65 thousand jobs from 2003 to 2013.

Hence, from 2003 to 2013, i.e. 10 years the jobs have increased by (2.65×10) = 26.5 thousand.

Therefore, the percent increase in jobs in the industry from 2003 to 2013 is given by $\frac{26.5*100}{78.9} = 33.6$ % ≈ 33%. (Answer)

4 0

3 years ago

The town of Winchester recently built an artificial body of Vater. This reservoir will store drinking water for the

inna [77]

Answer:

This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.

Step-by-step explanation:

6 0

3 years ago

CORRECT ANSWER WILL GET BRANLIEST:1/9(x﹣7) = 4

tigry1 [53]

Answer: X=43

Explanation.
1. x-7/9=4

2. x-7=4x9

3. x-7= 36

4. X=36-7

5. X=43

3 0

4 years ago

Which absolute value function defines this graph?

lorasvet [3.4K]

Answer:

A. f(x) = -4|x + 2| + 3

Step-by-step explanation:

An absolute value graph is a v-shaped graph whose equation has the form y = a| x - h| + k where (h,k) is the vertex. On the graph the vertex is (-2,3). This means its equation is y = a| x --2| + 3. It simplifies to y = a|x+2|+3. To find a, look at the answer options. Each option has 4 or -4. Since the graph faces downward, it has a negative leading coefficient of a = -4. The equation is y = -4|x+2|+3

7 0

3 years ago