3.25 - (15-31)<br> What’s the answer

Suppose you just received a shipment of nine televisions. Three of the televisions are defective. If two televisions are randoml

Temka [501]

<h2>Answer:</h2>

a)

The probability that both televisions work is: 0.42

b)

The probability at least one of the two televisions does not work is:

0.5833

<h2>Step-by-step explanation:</h2>

There are a total of 9 televisions.

It is given that:

Three of the televisions are defective.

This means that the number of televisions which are non-defective are:

9-3=6

a)

The probability that both televisions work is calculated by:

$=\dfrac{6_C_2}{9_C_2}$

( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.

and the total outcome is the selection of 2 televisions from a total of 9 televisions)

Hence, we get:

$=\dfrac{\dfrac{6!}{2!\times (6-2)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{\dfrac{6!}{2!\times 4!}}{\dfrac{9!}{2!\times 7!}}\\\\\\=\dfrac{5}{12}\\\\\\=0.42$

b)

The probability at least one of the two televisions does not work:

Is equal to the probability that one does not work+probability both do not work.

Probability one does not work is calculated by:

$=\dfrac{3_C_1\times 6_C_1}{9_C_2}\\\\\\=\dfrac{\dfrac{3!}{1!\times (3-1)!}\times \dfrac{6!}{1!\times (6-1)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{3\times 6}{36}\\\\\\=\dfrac{1}{2}\\\\\\=0.5$

and the probability both do not work is:

$=\dfrac{3_C_2}{9_C_2}\\\\\\=\dfrac{1}{12}\\\\\\=0.0833$

Hence, Probability that atleast does not work is:

0.5+0.0833=0.5833

4 0

3 years ago

Need help with this (10 points)

Nikolay [14]

Answer:

5 is greater than equal to 5. So f(5)=5+8=13

Step-by-step explanation:

7 0

3 years ago

Which number from the set {0, 1,4,6} makes the inequality true?<br> 6x - 3 > 21

yaroslaw [1]

4 because 6(4) = 24 and 24-3=21

6 0

3 years ago

If 48$ is 10% what is 100%

lys-0071 [83]

100 is 480% , times by 48

4 0

3 years ago

Read 2 more answers

Which of the following transformations will result in an image that maps onto itself

Anestetic [448]

The transformations that maps image onto itself are D) reflect over the y axis and then reflect again over the y axis.

Complete question

Which sequence of a transformation will result in an image that maps onto itself? A) rotate 180 degrees counterclockwise and then reflect across the x axis b) reflect over the y axis and then reflect over the x axis c) rotate 180 degrees counterclockwise and then reflect across the y axis d) reflect over the y axis and then reflect again over the y axis

Step-by-step explanation:

Reflecting a figure across the y axis then repeating the same procedure will take you to the original position. This means mapping the figure onto itself.When coordinates(x,y) are reflected on the y axis the image coordinates are (-x,y) thus repeating this will form the second image coordinates as (x,y).

Learn More

Transformation : brainly.com/question/10656536

Keyword : transformation

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers

3.25 - (15-31) What’s the answer