Please help i need it !!!

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

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".

Solution to the problem

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

$X \sim Binom(n=19, p=0.3)$

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:

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

And we want to find this probability:

$P(X \geq 5)$

And we can use the complement rule:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

4 0

3 years ago

Pls can someone help me. I m giving 10 pts . I may mark you as the braniliest

worty [1.4K]

100 notes were altogether

Solution:

Given that ratio of the number of $2 notes to the number of $5 notes was 4 : 1

number of $2 notes : number of $5 notes = 4 : 1

Let 4x be the number of $ 2 notes

Let 1x be the number of $ 5 notes

Given that total value of notes is $ 260

Therefore,

$ 2 (number of $ 2 notes ) + $ 5(number of $ 5 notes ) = $ 260

$ 2(4x) + $ 5(1x) = $ 260

8x + 5x = 260

13x = 260

x = 20

Thus number of notes altogether is given as:

4x + 1x = 4(20) + 1(20) = 80 + 20 = 100

Thus 100 notes were altogether

4 0

3 years ago

Is 9.99 rational or irrational

aleksley [76]

Answer:

Rational

Step-by-step explanation:

A rational number can be written as a fraction of the form.

$\frac{a}{b} \: where \: b \ne0$

and a and b are integers.

$9.99 = \frac{999}{100}$

Hence in this case a=999 and b=100.

Since both are integers with b being a non-zero integer, we conclude that 9.99 is a rational number.

6 0

3 years ago

The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).

krek1111 [17]

The perimeter of the polygon is 17.5

5 0

3 years ago

Read 2 more answers

Simplify the complex expression (3+2i) + (-4+6i)

Pani-rosa [81]

(3 + 2i) + (-4 + 6i)

Get rid of the parenthesis.

3 + 2i - 4 + 6i

Note how we got rid of the (+) sign in +(-4). We do this because a negative times a positive is always going to be a negative.

Combine like terms.

(2i + 6i) + (3 - 4)

Simplify.

8i - 1

~Hope I helped!~

7 0

3 years ago