Mathematics, 03.03.2020 22:03 wiredq2049

If np is greater than or equal to 15 and n(1-p) is greater than or equal to 15, what is the approximate shape of the sampling distribution of the sample proportion?

A. p-hat
B. true proportion p
C. x-bar
D. sqrt(p*(1-p)/n)
E. Normal
F. sigma/sqrt(n)
G. Binomial
H. Bimodal

Answers: 2

Show answers

Answers

Answer from: dajahp

We need to check the conditions in order to use the normal approximation.

$np \geq 15$

$n(1-p) \geq 15$

If we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np

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

$X \sim N (\mu = np, \sigma=\sqrt{np(1-p)})$

So then the correct answer for this case would be:

E. Normal

Step-by-step explanation:

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 assume 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:

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

We need to check the conditions in order to use the normal approximation.

$np \geq 15$

$n(1-p) \geq 15$

If we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np

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

$X \sim N (\mu = np, \sigma=\sqrt{np(1-p)})$

So then the correct answer for this case would be:

E. Normal

Answer from: Quest

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~

Answer from: Quest

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

$\frac{1}{4}=\frac{x}{5}\\\\x=\frac{4}{5}\\\\x=0.8$

hence, first option 'a' is correct.

Another question on Mathematics

Mathematics, 21.06.2019 17:00

If f(x)=2x-6 and g(x)=3x+9, find (f-g)(x)

Answers: 2

Answer

Mathematics, 21.06.2019 17:20

Which of the following pairs of functions are inverses of each other? o a. f(x)=x72+8 and 96-9 = 7/x+2) =8 o b. f(x)= 6(x - 2)+3 and g(x) - *#2-3 o c. $4) = 5(2)-3 and 90- 4*: 73 o d. f(x) = 6)-12 and 910 – +12

Answers: 1

Answer

Mathematics, 21.06.2019 17:40

Atriangle has an area of 72 square inches. if the base of the triangle has a length of 18 inches, what is the height of the triangle? use the formula for the area of a triangle: area = (base)(height) type a numerical answer in the space provided. do not include the units or spaces in your answer.

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

Zahra runs a 500-meter race at a constant speed. which graph shows her distance from the finish line during the race?

Answers: 1

Answer

You know the right answer?

If np is greater than or equal to 15 and n(1-p) is greater than or equal to 15, what is the approxim...

Questions