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Schach [20]
3 years ago
5

True or​ False: Chebyshev's inequality applies to all distributions regardless of​ shape, but the empirical rule holds only for

distributions that are bell shaped.
Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

True.

Step-by-step explanation:

The <em>empirical rule </em>states that for a bell shaped distribution, nearly all of the data will fall within three standard deviations of the mean.

<em>Chebyshev’s inequality </em>says that at least 1-\frac{1}{K^{2} } of data from a sample will fall within K standard deviations from the mean.

We have to remember that Chebyshev’s inequality has been proven mathematically for any distribution. But the empirical rule is a tool created for bell shaped distributions.

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A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard devia
lana [24]

Answer: option 1 is the correct answer

Step-by-step explanation:

Number of times for which the die was rolled is 360. It means that our sample size, n is 360.

The probability of rolling a 5 or a 6 is 1/3. It means that probability of success,p = 1/3. The probability of failure,q is

1 - probability of success. It becomes

1 - 1/3 = 2/3

The formula for standard deviation is expressed as

√npq. Therefore

Standard deviation = √360 × 1/3 × 2/3

= √80 = 8.9443

Standard deviation is approximately 8.9

4 0
3 years ago
the new basketball team playoff shirts are $42.52 plus $7.05 sales tax what is the amount and what's the cost of the t-shirts​
baherus [9]
The total would be $49.57
3 0
2 years ago
The tile pattern below is made up of trapezoids and rhombuses. What is the area of each figure in the pattern?
shutvik [7]

The area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

<h3>How to find the area of a trapezoid and rhombus?</h3>

The given pattern consists of rhombus and trapezoids

The formula for calculating the area of rhombus is expressed as:

A = pq/2

Area of trapezoid = 0.5(a+b)h

Given the following

height  = 2in

a = 2in

b = 3in

Ara of rhombus = 1(4)/2 = 2 square inches

Area of the trapezoid = 0.5(2+3) * 2

Area of the trapezoid  = 5 square inches

Hence the area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

Learn more on area of rhombus and trapezoid here: brainly.com/question/2456096

6 0
1 year ago
there are 6 brown, 5 blue, and 2 orange marbles in a hat what is the probability of picking 2 orange marbles in a row without re
Bess [88]
You have a probability of 7% to pick out the first orange marble then you have a probability of 8% to pick out the second orange.
4 0
2 years ago
Simplyfy 8x^4y^5 times 10xy^3
Dennis_Churaev [7]

Answer:

80x^5y^8

Step-by-step explanation:

8x^4y^5\times 10xy^3=\\\\(8\times 10) \times (x^4\times x)\times (y^5\times y^3)=\\\\80x^5y^8

Hope this helps!

4 0
3 years ago
Read 2 more answers
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