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1 year ago

20 POINTS

Mathematics

1 answer:

Georgia [21]1 year ago

5 0

Answer is in the photo, hope it helps. If you have any questions about the answer, please feel free to ask :)

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xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl

Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

$E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)$ $\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\ \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}$

Step 2:

Find the standard deviation.

$Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}$ $=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)$ $=4(0.25)+1(0.05)+0(0.15)+1(0.55)$ $=1+0.05+0+0.55=1.60$

Thus, the standard deviation is 1.60

Answer:

1.60

8 0

1 year ago

Ken has a pole that is 26 inches long. He wishes to cut it into two pieces so that one piece will be 8 inches longer than the ot

Yuliya22 [10]

Answer:

9 inches

Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26 (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26 Combine like terms

2x + 8 = 26 Start isolating "x"

2x + 8 - 8 = 26 - 8 Subtract 8 from both sides

2x = 18

2x/2 = 18/2 Divide both sides by 2

x = 9 shorter piece

The shorter piece would be 9 inches.

If you needed the longer piece too:

longer piece = x + 8

x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26 Substitute the lengths

17 + 9 = 26 Add

26 = 26 same number

LS = RS left side equals right side

The answer is correct.

3 0

3 years ago

Help!!?????? Plssssss

zhannawk [14.2K]

Answer:

1st row- 27

2nd row- 18, 48

3rd row- 55

8 0

3 years ago

Read 2 more answers

Which shape has only one pair of parallel sides? A. rectangle B. triangle C. trapezoid D. rhombus

spin [16.1K]

I would most likely go with C.

5 0

3 years ago

Read 2 more answers

for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep

Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

$T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000$

1,404,000 different plates possible.

4 0

3 years ago