Please help I need this rn please help ASAP picture included awnser as many s you want

The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation

Nonamiya [84]

Probabilities are used to determine the chances of events

The given parameters are:

Sample size: n = 20
Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}$

This gives

$P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}$

$P(x = 11) = 0.0011$

Express as percentage

$P(x = 11) = 0.11\%$

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}$

This gives

$P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0$

$P(x = 20) = 0.0388$

Express as percentage

$P(x = 20) = 3.88\%$

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

$\mu = np$

So, we have:

$\mu = 20 \times 85\%$

$\mu = 17$

The standard deviation is calculated as:

$\sigma = np(1 - p)$

So, we have:

$\sigma = 20 \times 85\% \times (1 - 85\%)$

$\sigma = 20 \times 0.85 \times 0.15$

$\sigma = 2.55$

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

8 0

2 years ago

Evaluate the following functions at x = 10<br>g(x)=√(x+1)

V125BC [204]

g(x)=√(x+1)

Let's plug 10 in for x

g(10) = √(10+1)

Simplify the exponents

g(10) = √(11)

This is the exact form but it can also be expressed as a decimal.

√(11) = 3.31662479

You can simplify as needed

6 0

3 years ago

Read 2 more answers

Can someone explain this I dont understand it

IrinaVladis [17]

Y = mx + b

m is your slope AKA rate of change
b is the y intercept.

from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)

slope is rate of change. to figure this out remember slope = rise over run:

$slope = \frac{rise}{run}$

so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1

Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2

Now plug these numbers into the rise over run formula:

$slope \: = \frac{1}{2}$

Now we have everything we need to put into our formula for a line:

$y = mx + b$
$y = \frac{1}{2} x + 18$

For number 16 you should get:

$y = \frac{1}{5} x + 3$

after you do the same steps again yourself

8 0

3 years ago

Use the following problem to answer the question below:

Rom4ik [11]

Answer:

m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles

Step-by-step explanation:

∵ m∠ABE = m∠CBD

∵ m∠ABD = m∠ABD + m∠DBE

∵ m∠CBD = m∠CBE + m∠EBD

∵ ∠EBD is common angle between them

∴ m∠ABD = m∠CBE

6 0

2 years ago

How to find circumference if circles

MrRissso [65]

use the equation 2(pie)r

7 0

2 years ago

Read 2 more answers