Ask question

Ask question

All categories

3 years ago

15

Twenty percent of adults in a particular community have at least a bachelor's degree. Suppose x is a binomial random variable t

hat counts the number of adults with at least a bachelor's degree in a random sample of 100 adults from the community. If you are using a calculator with the binompdf and binomcdf commands, which of the following is the most efficient way to calculate the probability that more than 60 adults have a bachelor's degree, P(xgreater than60)?

1 answer:

Slav-nsk [51]3 years ago

7 0

Answer:

$P(X>60) = 1-binomcdf(100,0.20,60)$ $P (X \leq 60)$

Step-by-step explanation:

As we have to find an efficient way for the probability as follows:

$P(X>60)$

First of all we will find the remaining part of the probability that is:

$P (X\leq 60 )$

As the given probability is inclusive of 60 so the formula used will be:

$P(X\leq 60)=binomcdf(100,0.20,60)$

Now going back to the actual probability, the formula used will be:

$P(X>60) = 1-binomcdf(100,0.20,60)$

(Because the total probability is always 1)

I hope it will help you!

You might be interested in

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

<em>Multiplying both sides by 16 we get:</em>

<em /> $256=3x^2$ <em />

<em>Dividing both sides by 3 we get:</em>

<em /> $\frac{256}{3} =x^2$ <em />

<em>Using square root on both sides we get:</em>

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

<em>So, the base of triangle = </em> $\frac{8}{\sqrt{3}} \ m.$ <em />

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

<em>Thus, the height of triangle = </em> $\frac{12}{\sqrt{3}} \ m.$ <em />

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

7 0

3 years ago

package of 18trading cards for $4.86Use pencil and paper. Explain how you can tell that the unit price per card is less than $

Elodia [21]

You have to divide 4.86 by 18 and that gives you.........

4 0

3 years ago

Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a

Annette [7]

Answer:

$0.3

Step-by-step explanation:

8.90x2=17.8

1.75x2=3.5

17.8+3.5=21.3

21.90-21.3=0.6

0.6/2=0.3

6 0

2 years ago

Read 2 more answers

Older people often have a hard time finding work. AARP reported on the number of weeks it takes a worker aged 55 plus to find a

mote1985 [20]

Answer:

34

Step-by-step explanation:

?

3 0

2 years ago

Read 2 more answers

What is the volume of this composite prism?

Inessa [10]

Answer:

96 Units cubed

Step-by-step explanation:

12 x 2 x 2 = 48

4 x 6 x 2 = 48

48 + 48 = 96

3 0

2 years ago