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Alina [70]
2 years ago
14

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)
Mathematics
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 of the following systems of inequalities represents the graph?
mixer [17]

Answer:

Option D.

Step-by-step explanation:

Consider the below figure attached with this question.

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is

y-0=\frac{4-0}{0-(-2)}(x-(-2))

y=2(x+2)

y=2x+4

-2x+y=4

All area above the solid line is shaded. It means the sign of inequality is ≥.

-2x+y\geq 4

From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is

y-0=\frac{2-0}{0-(2)}(x-(2))

y=-1(x-2)

y=-x+2

x+y=2

All area below the dashed line is shaded. It means the sign of inequality is <.

x+y

System of inequality is

-2x+y\geq 4

x+y

Therefore, the correct option is D.

5 0
3 years ago
Can someone find loverboy444? thank you! who ever finds him will get a request!​
lilavasa [31]

Answer:

I can try

Step-by-step explanation:

5 0
2 years ago
4) Dan Ariely and colleagues have conducted some extremely interesting studies on cheating (see, for example Mazar, Amir, &amp;
lianna [129]

I've attached the complete question.

Answer:

Only participant 1 is not cheating while the rest are cheating.

Because only participant 1 has a z-score that falls within the 95% confidence interval.

Step-by-step explanation:

We are given;

Mean; μ = 3.3

Standard deviation; s = 1

Participant 1: X = 4

Participant 2: X = 6

Participant 3: X = 7

Participant 4: X = 0

Z - score for participant 1:

z = (x - μ)/s

z = (4 - 3.3)/1

z = 0.7

Z-score for participant 2;

z = (6 - 3.3)/1

z = 2.7

Z-score for participant 3;

z = (7 - 3.3)/1

z = 3.7

Z-score for participant 4;

z = (0 - 3.3)/1

z = -3.3

Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96

Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.

Thus, only participant 1 is not cheating while the rest are cheating.

8 0
3 years ago
70°<br> 13<br> ४<br> c=<br> 12.2<br> x<br> A
Aleonysh [2.5K]

Answer:

sin70=13/x

\sin(70)  \times x = 13

x = 13 \times  \sin(70)

x = 13 \div 0.9397

13.8

6 0
2 years ago
Assume that the probability of a driver getting into an accident is 7.6%, the average cost of an accident is $16,412.05, and the
arlik [135]

Answer:

1,352.32

Step-by-step explanation:

If you take 7.6 and multiply it to 16,412.05 (.076)(16,412.05), you get 1,247.32. You then add the overhead cost of 105 to get 1352.32. (Apex verified too)

5 0
3 years ago
Read 2 more answers
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