Please help me solve this asap

According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research C

Pavel [41]

Answer:

a) For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

b) $P(X=0)=(10C0)(0.15)^0 (1-0.15)^{10-0}=0.1969$

c) $P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298$

d) $P(X \geq 1)= 1-P(X$

And using the result from part a we got:

$P(X \geq 1)= 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n p)$

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Part a

For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

Part b

For this case we want this probability:

$P(X=0)$

And replacing we got:

$P(X=0)=(10C0)(0.15)^0 (1-0.15)^{10-0}=0.1969$

Part c

For this case we want this probability:

$P(X=3)$

And replacing we got:

$P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298$

Part d

For this cae we want thi probability:

$P(X \geq 1)$

And we can use the complment rule and we got:

$P(X \geq 1)= 1-P(X$

And using the result from part a we got:

$P(X \geq 1)= 1-P(X$

4 0

3 years ago

The Walter family budgets the maximum amount of $124 for a camping trip. Mr. Walter already spent $40. How many people, x, can g

saul85 [17]

124-40=84 84/21=4 4=x 4 people can go

4 0

3 years ago

Read 2 more answers

Can someone help me out with showing work

ivanzaharov [21]

Step-by-step explanation:

a) BEC=90°(right angle triangle)

total degrees of a triangle is 180°

therefore let the missing angle be x

it will be 90+27+x=180

value of X=63°

therefore <BCE=63°

b) since ΔBAD is an

isosceles triangle

ABE must also be 52°total degrees of a triangle is 180°

let the missing angle be Y

it will be 52+52+Y=180

value of Y is 76

therefore <BAD=76°

8 0

3 years ago

Answer to problem: 8(-6k-3)=8(3-4k) Please show work. Thank you.

OLga [1]

Hi there!
This problem requires us to solve for k, when solving problems like this it is important to note that what you do to one side of the equation (add,subtract,multiply and/or divide), you MUST do to the other side of the equation. Let's start!

First, we must distribute 8, in this case we need to distribute on BOTH sides of the equation. Remember when we distribute we use the distribution property:
$a(c+b)=ac+ab$
You must distribute to every number and/or variable present within the parentheses:
$(8)(-6k)+(8)(-3)=(8)(3)+(8)(-4k)$

Once we multiply the numbers together we have:
$-48k-24=24-32k
$

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example:
3c and 4c are like terms because they have the same variables
24 and 50 are like terms because they are simply numbers without any variables.

In our problem, we see that we have -48k and -32k these are like terms. Our goal is to cancel out numbers so that we can solve for k.

Lets start by adding 48 to both sides so that we can have all the k's on one side of the equation:

$-48k+48k-24=24-32k+48k$

Now we have:
$-24=24+16k$

Now let's get the numbers without the variables on one side, we can do this by subtracting the 24 from the right side of the equation. Remember when we do one thing to one side of the equation we must apply it to both. So we subtract 24 on both sides.
$-24-24=24-24+16k$

Now we have:
$-48=16k$

Lastly, we must divide both sides of the equation by -16 to solve for k. We divide by -16 because the opposite of multiplication is division, -16 is currently multiplied by k:
$\frac{-48}{-16} = \frac{-16k}{-16}$

When we divide we get k=3

Our final answer would be: k=3

If you have an further questions, please do not hesitate to comment below! Have a nice day! :) <span />

5 0

3 years ago

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Jinwon hit a golf ball 145.7 yards. Kayla hit a golf ball 122.95 yards. How much farther did Jinwon hit a golf baLl?

7nadin3 [17]

Jinwon hit his gold ball 22.75 miles farther than Kayla.
Work:145.7-122.95=22.75
You have to subtract the numbef of miles Jinwon hit his golf ball from the number of miles Kayla hit her golf ball

6 0

3 years ago

Read 2 more answers

Please help me solve this asap ​

Please help me solve this asap