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2 years ago

There are 14 pieces of fruit in a basket, including 7 bananas.

1 answer:

5 0

If there are 7 bananas out of 14 pieces of fruit the probability of selecting a banana is 7/14. 7/14 can be reduced to 1/2. 7 divided by 7 is 1, and 14 divided by 7 is 2 making the answer 1/2!

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What is the area of a circle if its radius is 5? Step-by-step explanation too.

sesenic [268]

Answer:

Step-by-step explanation:

Area = 3.14r^2

Area = 3.14(5)^2

Area = 3.14(25)

Area = 78.5

4 0

3 years ago

The probability that two people have the same birthday in a room of 20 people is about 41.1%. It turns out that

salantis [7]

Answer:

a) Let X the random variable of interest, on this case we know that:

$X \sim Binom(n=20, p=0.411)$

This random variable represent that two people have the same birthday in just one classroom

b) We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

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

And we can find the individual probability:

$P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253$

And then:

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

And since we want the probability in the 3 classes we can assume independence and we got:

$P= 0.99997^3 = 0.9992$

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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

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

$X \sim Binom(n=20, p=0.411)$

This random variable represent that two people have the same birthday in just one classroom

Part b

We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

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

And we can find the individual probability:

$P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253$

And then:

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

And since we want the probability in the 3 classes we can assume independence and we got:

$P= 0.99997^3 = 0.9992$

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

4 0

3 years ago

The article What is i* if I =o

AnnZ [28]

questions:you have been offered a scholarships to further your studies in Australia

write a diary entry sharing your experience about it

3 0

2 years ago

Which of the following is the greatest unit rate? *

Brrunno [24]

Answer:

It is the last one. (16 for 2 tickets)

Step-by-step explanation:

To make it a unit fraction you have to divide the denominator by itself to get 1. 2 divided by 2 equals 1. To keep the fraction equivalent divide the numerator by 2 as well. That equals 8. This makes the unit rate

1/8 Which is the biggest

7 0

3 years ago

Read 2 more answers

The perimeter of a rhombus is 560 meters and one of its diagonals has a length of 76 meters. Find the area of the rhombus.

borishaifa [10]

The perimeter is the sum of the side lengths of a shape. <span> A </span>diagonal is a line segment joining two vertices of a polygon or polyhedron <span>when those vertices are not on the same edge. We calculate as follows:

Perimeter = 4a
560 = 4a
a = 140 meters

</span>A=(1/2)d√(4a^2 - d^2)
A = 10240.56 m^2

4 0

3 years ago