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2 years ago

J3.

Mathematics

1 answer:

alisha [4.7K]2 years ago

3 0

By using the given table, we can see that the expected value is 20.97 AED.

<h3>How to find the expected value?</h3>

The expected value is given by the sum between the products between the value of each outcome and the probability of said outcome.

Then, by using the table, we can write the expected value as:

$12*0.8 + 18*0.15 + 20*0.31 + 22*0.08 + 24*0.15 + 25*0.23 = 20.97$

Then we can see that the correct option is C, the expected value is 20.97 AED.

If you want to learn more about expected value:

brainly.com/question/15858152

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What is the equation of a circle with center -4, 7 and radius 6

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Answer:

$( x + 4 )^2 + ( y - 7 )^2 = 36$

Step-by-step explanation:

Use the circle equation, $( x - h )^2 + ( y - k )^2 = r^2$

Plug in the center and radius:

$( x + 4 )^2 + ( y - 7 )^2 = 6^2$

Simplify:

$( x + 4 )^2 + ( y - 7 )^2 = 36$

So, the equation is $( x + 4 )^2 + ( y - 7 )^2 = 36$

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3 years ago

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3 years ago

Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar

klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

$\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}$

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

$CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack$

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

$CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack$

Where (from tables):

$Z_{0.99}=2.33$

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1 year ago