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3 years ago

During the rescue, Zoe encountered different

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

Answer:

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A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

disa [49]

Answer:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X 5 6 7 8 9 10

P(X) 0.05 0.15 0.33 0.28 0.12 0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

5 0

4 years ago

Read 2 more answers

The value of x is a distance of 4 units from 2 what are the possible values of x

Anna007 [38]

X could be 6 or -2
You start at 2 on a number line and move 4 to the right and 4 to the left.

7 0

3 years ago

The graph of a linear system is shown. What is the solution to this linear system? Enter a value in each box to create an ordere

Elena L [17]

Answer:

(1,2)

Step-by-step explanation:

The solution would be where both lines intersect.

In this case, the intersected point is (1,2)

5 0

3 years ago

The sum of two numbers is 36 and the difference is 8.Find the numbers

NeX [460]

22 and 14

君だよ君なんだよ~

チュチュ(●´Д`)ε`○)

8 0

3 years ago

What is the slope of the line through (-7,-7) and (-6,7)?

tatiyna

It’s 14 hope this helps

6 0

3 years ago