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3 years ago

What is the probability of 7 out of n is 50%

Mathematics

2 answers:

borishaifa [10]3 years ago

4 0

N=14...i am pretty sure

Kamila [148]3 years ago

3 0

7 out of 14 is 50% just multiply 7 by 2

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The National Vaccine Information Center estimates that 90% of Americans have had chickenpox by the time they reach adulthood.32

drek231 [11]

Answer:

0.59% probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have had chickenpox, or they have not. The probability of a person having had chickenpox is independent from other people. So we use the binomial probability distribution to solve this problem.

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.

90% of Americans have had chickenpox by the time they reach adulthood.

This means that $p = 0.9$

Suppose we take a random sample of 100 American adults. Is the use of the binomial distribution appropriate for calculating the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood

This is $P(X = 97)$ when $n = 100$ . So

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

$P(X = 97) = C_{100,97}.(0.9)^{97}.(0.1)^{3} = 0.0059$

0.59% probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.

8 0

3 years ago

Robin is twice as old as Earl, and in 6 years he will be three times as old as Adam, who is 8 years younger than Earl. Find thei

valkas [14]

Answer:

Since, Robin is twice as old as Earl,

Thus, the ratio of the age of robin and earl = 2 : 3

Let the age of robin = 2x and the age of earl = 3x

Where x is any number,

According to the question,

3×Age of Adam = 2x + 6

Age of Adam = 1/3(2x+6)

Also, Age of Adam = Age of earl - 8

⇒ 1/3(2x+6) = 3x - 8

⇒ 2x + 6 = 9x - 24

⇒ -7x = - 30

⇒ x = 30/7

Hence, the age of Robin = 2x = 2×30/7 = 60/7 years

The age of Earl = 3x = 3×30/7=90/7 years

The age of Adam = 34/7 years

7 0

3 years ago

I WILL MAKE YOU BRAINLEST

Strike441 [17]

It is the vendor that sells 1.5 L for $2.70

8 0

2 years ago

When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a face c

Radda [10]

There are 12 face cards and 4 aces to choose from. For the first card, the probability of drawing a face is $\dfrac{\binom{12}1}{\binom{52}1}=\dfrac{12}{52}$ . Then the probability of drawing an ace second is $\dfrac{\binom41}{\binom{51}1}=\dfrac4{51}$ .

So the probability of drawing these two particular cards in the given order is

$\dfrac{12}{52}\cdot\dfrac4{51}=\dfrac4{221}$

4 0

3 years ago

Find the median, mean, and range.

RSB [31]

Hey there!

The median is 8.5

The mean is 7

The range is 11

Hope this helps!

God bless ❤️

xXxGolferGirlxXx

5 0

3 years ago