What is the value of t in 3(8+t)=25.50

It is estimated that 75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell

Mademuasel [1]

Answer:

a) 75

b) 4.33

c) 0.75

d) $3.2 \times 10^{-13}$ probability that no one in a simple random sample of 100 young adults owns a landline

e) $6.2 \times 10^{-61}$ probability that everyone in a simple random sample of 100 young adults owns a landline.

f) Binomial, with $n = 100, p = 0.75$

g) $4.5 \times 10^{-8}$ probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

Step-by-step explanation:

For each young adult, there are only two possible outcomes. Either they do not own a landline, or they do. The probability of an young adult not having a landline is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell phone at home.

This means that $p = 0.75$

(a) On average, how many young adults do not own a landline in a random sample of 100?

Sample of 100, so $n = 100$

$E(X) = np = 100(0.75) = 75$

(b) What is the standard deviation of probability of young adults who do not own a landline in a simple random sample of 100?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100(0.75)(0.25)} = 4.33$

(c) What is the proportion of young adults who do not own a landline?

The estimation, of 75% = 0.75.

(d) What is the probability that no one in a simple random sample of 100 young adults owns a landline?

This is P(X = 100), that is, all do not own. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 100) = C_{100,100}.(0.75)^{100}.(0.25)^{0} = 3.2 \times 10^{-13}$

$3.2 \times 10^{-13}$ probability that no one in a simple random sample of 100 young adults owns a landline.

(e) What is the probability that everyone in a simple random sample of 100 young adults owns a landline?

This is P(X = 0), that is, all own. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{100,0}.(0.75)^{0}.(0.25)^{100} = 6.2 \times 10^{-61}$

$6.2 \times 10^{-61}$ probability that everyone in a simple random sample of 100 young adults owns a landline.

(f) What is the distribution of the number of young adults in a sample of 100 who do not own a landline?

Binomial, with $n = 100, p = 0.75$

(g) What is the probability that exactly half the young adults in a simple random sample of 100 do not own a landline?

This is P(X = 50). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 50) = C_{100,50}.(0.75)^{50}.(0.25)^{50} = 4.5 \times 10^{-8}$

$4.5 \times 10^{-8}$ probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

8 0

3 years ago

Can someone please check and see if these are correct 11-15

Allushta [10]

Answer:

All of them are correct except for number 15

Step-by-step explanation:

Number 15 is D.

6 0

3 years ago

Read 2 more answers

There are 15 boys and 10 girls in mrs.rogers class what is the ratio of boys to girls ?

Vika [28.1K]

Answer: The ratio of boys to girls in Mrs.Rogers class is 15 to 10.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

U want free points?<br>just answer this question:<br>1+1

alexdok [17]

Answer:

2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Mixed number equations that equal 10.<br> Please hurry.

Vladimir79 [104]

Answer:

Mixed number equation equals to 10= $9\frac{9}{9}$

Step-by-step explanation:

Here we have to find mixed number equation that equal 10,

Let, x=10 ------------(equation 1)

Now multiplying both side of equation 1 by 10 we get,

$x\times 10=10\times 10$

$10x=100$ ------------------(equation 2)

Now by subtracting equation 1 from equation 2 we get,

$10x-x=100-10$

$9x=90$

$\therefore\ x=\frac{90}{9}$ ------------------(equation 3)

Equation 3 can be written as,

$x=9\frac{9}{9}$

Since, $9\frac{9}{9}$

$= \frac{(9\times 9)+9}{9}$

$=\frac{81+9}{9}$

$=\frac{90}{9}$ [/tex]

$\therefore 9\frac{9}{9}=\frac{90}{9}$

Therefore mixed number equation that equals 10= $9\frac{9}{9}$

5 0

3 years ago