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2 years ago

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Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at

most, 15 students play a sport. Should a binomial probability density function or cumulative distribution function be used? Explain. (4 points)

1 answer:

faltersainse [42]2 years ago

8 0

A binomial probability density function should be used to represent the probability

<h3>How to determine the type of probability density?</h3>

The given parameters are:

Proportion that plays sport, p = 32%
Number of students selected, p = 50
The probability, P = (x ≤ 15)

The proportion that plays sport indicates that

68% of the students do not play sport

So, we have two events, which are

Play sport
Do not play sport

When there are two possible events, then the binomial probability density function should be used

Read more about binomial probability density at:

brainly.com/question/15246027

#SPJ1

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Which equation does NOT represent a proportional relationship between two variables with the constant of proportinality of? 1/2

Dimas [21]

Answer:

(D) $y=x+\frac{1}{2}$

Step-by-step explanation:

Two variables x and y are proportionally related if they can be written in the form y=kx, where k is the constant of proportionality.

From the given options, if $k=\frac{1}{2}$

(B) $y=\frac{1}{2}x$ is of the form y=kx

(C) $y=\frac{3}{6}x$ is of the form y=kx with $k=\frac{1}{2}$ as $\frac{3}{6}=\frac{1}{2}$ in its lowest form.

(C) $y=0.5x$ is of the form y=kx with $k=\frac{1}{2}$ as $0.5=\frac{1}{2}$ in fractional form.

On the Contrary,

In Option D, $y=x+\frac{1}{2}$ does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.

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3 years ago

Michael cleans 90 cars in 5 days. How many cars does Michael clean per day?

maw [93]

Answer:

D

Step-by-step explanation:

Because 90/5=18

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3 years ago

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A candy box measures 8.2 cm in diameter and 15 cm in height. How many 2 cm cubed pieces of candy can fit into the box?

Katarina [22]

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3 years ago

"Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expe

marshall27 [118]

Answer:

The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

Step-by-step explanation:

The least square regression line is used to predict the value of the dependent variable from an independent variable.

The general form of a least square regression line is:

$\hat y=\alpha +\beta x$

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

$\hat y=3.73 +0.88 x$

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:

$\hat y=3.73 +0.88 x$

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Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

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4 years ago

What is the set of all solutions to the equation \sqrt{x + 2}= {-x} x+2 =−xsquare root of, x, plus, 2, end square root, equals

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Answer:

$x = 2$ or $x = -1$

Step-by-step explanation:

Given

$\sqrt{x + 2}= {-x}$

Required

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Square both sides

$( \sqrt{x + 2})^2= ({-x})^2$

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Equate to 0

$x^2 - x - 2 = 0$

Expand

$x^2 + x -2x - 2 = 0$

Factorize:

$x(x + 1) - 2(x + 1) = 0$

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Split:

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$x = 2$ or $x = -1$

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3 years ago