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kogti [31]
3 years ago
15

In a cartons of bulbs, 90% contain no defective bulbs, 5% contain one defective bulb, 3% contain two defective bulbs, and 2% con

tain three defective bulbs. Find the mean and standard deviation for the number of defective bulbs.
Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

Answer:

Mean, E(x) = 0.17

Variance, V(x) = 0.12

Step-by-step explanation:

90% contains no defective bulbs, P(X=0) = 0.9

5% contain one defective bulbs, P(X=1) = 0.05

3% contain two defective bulbs, P(X=2) = 0.03

2% contain three defective bulbs, P(X=3) = 0.02

The mean for the number of defective bulbs:

E(X) = \sum XP(X)\\E(X) = (0*0.9) + (1*0.05) + (2*0.03) + (3* 0.02)\\E(X) = 0 + 0.05 + 0.06 + 0.06\\E(X) = 0.17

Variance for the defective bulbs:

V(x) = (\sum x^{2}P(x)  ) - \mu^2

\sum x^{2}P(x) = (0^2*0.9) + (1^2*0.05) + (2^2*0.03) + (3^2* 0.02)\\\sum x^{2}P(x) = 0.05 + 0.12 + 0.12\\\sum x^{2}P(x) = 0.29

V(x) = 0.29 - 0.17

V(x) = 0.12

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What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83
monitta

Answer:

The 17th term in arithmetic sequence is 68

Step-by-step explanation:

The general formula of arithmetic sequence is:

aₙ = a₁ + (n – 1)d.

We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇

To find the term a₁₇ we should know a₁ and d. So we would find both

a₆ = a₁ +(6-1)d

101 = a₁ +(5)d

101 = a₁ +5d     eq(1)

and

a₉ = a₁ +(9-1)d    

83 = a₁ + 8d       eq(2)

Subtracting eq(2) from eq(1)

101 = a₁ +5d

83 = a₁ + 8d

-       -     -

__________

18 = -3d

=> d = 18/-3

=> d = -6

Putting value of d in eq(1)

101 = a₁ + 5d

101 = a₁ + 5(-3)

101 = a₁ -15

=> a₁ = 101+15

=> a₁ = 116

Now finding a₁₇:

aₙ = a₁ + (n – 1)d.

a₁₇ = 116 +(17-1)(-3)

a₁₇ = 116+(16)(-3)

a₁₇ = 116 - 48

a₁₇ = 68

So, the 17th term in arithmetic sequence is 68

3 0
3 years ago
08 Match the following
nataly862011 [7]
English. ???????????
8 0
3 years ago
In this activity, you will use multiple representations of relationships to identify key features and solve problems.
tia_tia [17]

The domain will be 0<x<6 and the range will be 0<y<72.

<h3>How to illustrate the information?</h3>

The information given implies that this would be a continuous relationship.

The process of elimination can be used to rule out the sets of numbers that are used in discrete relationships.

X is the amount of days that he was studying the plants.

The inequality is written like this for x: 0<x<6.

For the range, y is the plant food that was used which is 72 milliliters.

Learn more about domain on:

brainly.com/question/2264373

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7 0
2 years ago
K + k divided by 2 when k = 20
joja [24]
The answer would be 20 because 20 plus 20 equals 40, and 40 divided by 2 equals 20! Hope this helped!
3 0
4 years ago
Help ^^^ use picture above
aalyn [17]
The question reminds you of all the tools you need:

It says ...

"Opposite angles are equal."
So the upper right angle is x+40 just like the bottom left,
and the bottom right angle is 3x+20 just like the upper left.

And it says ...

"The sum of all angles is 360°."
You know what each of the four angles is, so you can addum all up,
set the sum equal to 360, find out what number ' x ' is, and then
use that to find the size of every angle.  

8 0
3 years ago
Read 2 more answers
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