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3 years ago

Poop I don't know what to do-

Mathematics

1 answer:

Romashka [77]3 years ago

3 0

Me either ive been stuck on a question and no one will help me

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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

Jakob rolls an 8-sided die that is numbered from 1 through 8 a total of 400 times. About how many times should Jakob expect to r

Sindrei [870]

Answer: 50

Step-by-step explanation:

400 ÷ 8 = 50

7 0

3 years ago

Could someone plz help and show work? Thanks

arsen [322]

Answer:

3 cm

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Justin wants to build a square garden in his backyard that will cover an area of 75 ft if tristan has 32 ft of material for the

statuscvo [17]

He does not have enough material

<h3>How to determine if he has enough material?</h3>

The given parameters are

Area = 75 square feet

Perimeter of material = 32 feet

Calculate the side length using

Length = Perimeter/4

So, we have

Length = 32/4

Evaluate

Length = 8

The area is

Area = 8^2

Evaluate

Area = 64

64 is less than 75

Hence, he does not have enough material