Answer for equation in picture

student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te

alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = $\frac{1}{4}$ .

Thus, the probability that the student does not receive version A = $1-\frac{1}{4}$ = $\frac{3}{4}$ .

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

$\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}$

= $(\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5$

= $(\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]$

= $(\frac{3}{4^4})[1+\frac{1}{16}]$

= $(\frac{3}{256})[\frac{17}{16}]$

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0

3 years ago

(3,2),(5,7),(1,4),(9,2),(3,7) Domain and range

Tatiana [17]

Answer:

If I remember correctly-

3,5,1,9,3 : domain

2,7,4,2,7 : range

5 0

3 years ago

Read 2 more answers

HELP ME PLEASE, I NEED THIS BY TONIGHT

saul85 [17]

The first option and the third option are correct.

(Although, it's probably way too late now...)

7 0

3 years ago

Given the following information, find the probability that a randomly selected student will be short or very short. Number of st

bulgar [2K]

$45 - 60 = 82 - 21$

6 0

3 years ago

Read 2 more answers

Need help with two word problems

dangina [55]

Answer:

E. 18 children are buying their lunches

F. Rock must pay $50 each month

Step-by-step explanation:

E.

To find a percentage you multiply the number by the percentage;

60 x 70%(0.70) = 42 children brought their lunches

But we need the amount buying their lunches so we would subtract 60 by 42;

60 - 42 = 18 buying their lunches

F.

Again, to find the percentage we multiply it by the original;

$800 x $25(0.25) = $200 Rock paid for the down payment on the sofa

Now we need to find how much Rock still needs to pay for the sofa;

$800 - $200 = $600 more needed to pay for the sofa

Lastly, we must find how much Rock will need to pay each month to pay the rest of the $600. There are 12 months in a year, so we divide that by the amount left;

$600 / 12 = $50 needs to be paid each month for a year

8 0

3 years ago

Answer for equation in picture ​

Answer for equation in picture