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kherson [118]
3 years ago
14

Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n= 8 trials, each with

probability of success (correct) given by p=0.3. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4​
Mathematics
1 answer:
alina1380 [7]3 years ago
4 0

Answer:

0.80589

Step-by-step explanation:

So all of the numbers of correct answers less than 4 are 0,1,2,3

We need to calculate the probability for each separately and then add them together.

To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.

The combination formula is: ! / (!(−)!)

So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.

For 0;

The combination is 1,

1 x 0.3^0 x 0.7^8-0 =

0.057648

For 1;

The combination is 8,

8 x 0.3^1 x 0.7^8-1 =

0.19765

For 2;

The combination is 28

28 x 0.3^2 x 0.7^8-2 =

0.296475

For 3;

The combination is 56

56 x 0.3^3 x 0.7^8-3 =

0.254122

All that’s left is to add these four numbers;

0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589

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scoray [572]

Answer:

Answer+Step-by-step explanation: 2019 game of the year award limited edition.

Step-by-step explanation:

This is all about carefully examining the slope. If you look carefully you will notice B curves in at the top just a little more than A so the first one is correct.

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3 0
3 years ago
A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili
____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2

Area of square,

A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2

Now, probability is given by :

P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785

Therefore, the probability that the point is inside the circle is 0.785 .

4 0
2 years ago
PLEASE HELP ASAP!!!<br><br> How to solve the equations below <br><br> |x−2|=x<br> |x+1|=1−x
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Answer:

x-2=x x=0

No Solution

x+1=1-x

Cancel   1 on both sides

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3 years ago
What is the answer to 9.2 x 0.3​
zlopas [31]

Answer:

2.76

Step-by-step explanation:

smort

4 0
3 years ago
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