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1 year ago

15. Which of the following distributions is most likely to be uniform?

Mathematics

1 answer:

MAXImum [283]1 year ago

7 0

Answer:

(b) The distribution of the last digits of ID numbers in a sample of 100 college students

Step-by-step explanation:

<u>Uniform Distribution Explanation</u>

In statistics, uniform distribution refers to a type of probability distribution in which all outcomes are equally likely.

The only possibility here is the distribution of the last digits since the last digit can be 0 thru 9 and each is equally likely to appear in a random sample of 100 students

The others can be eliminated

Heights can vary depending on gender, ethnic background etc. In fact heights will follow a normal distribution

Scores can vary, most students will be scoring around the mean follows a normal distribution

GPAs like scores can vary, most students will have GPAs close to the mean GPA so follows a normal distribution

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3 years ago

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An executive for the movie production company wants to create a function that models this data. . Create a function that can be

stich3 [128]

Functions can be modeled by equations, tables and graphs

The equation that models the function is $y = \frac 14x +1$
The domain of the function is the set of whole numbers
The company should expect 4 box office gross in week 10

<h3>How to determine the function</h3>

From the question, we have the following ordered pairs

(x,y) = (0,1) and (4,2)

The function is a linear function.

So, we start by calculating the slope (m) using:

$m = \frac{y_2 - y_1}{x_2 -x_1}$

Substitute known values

$m = \frac{2 - 1}{4 - 0}$

$m = \frac{1}{4}$

The equation is then calculated as:

$y = m(x -x_1) +y_1$

This gives

$y = \frac 14(x -0) +1$

$y = \frac 14x +1$

The domain of the above function is the set of whole numbers

Substitute 10 for x, to calculate the number of box office gross for week 10

$y = \frac 14 * 10 +1$

$y = 3.5$

Approximate

$y = 4$

Hence, the company should expect 4 box office gross in week 10

Read more about linear functions at:

brainly.com/question/15602982

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2 years ago