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3 years ago

I need help(This is due in a few hours)

Mathematics

1 answer:

egoroff_w [7]3 years ago

5 0

Answer:

5 is (a); 7 is (a)

Step-by-step explanation:

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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

I need help and can u please show your work please and thank u

aivan3 [116]

Answer:

Ur mom lol she gave birth to a kid who knows nothin

Step-by-step explanation:

6 0

3 years ago

A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each. A secon

babunello [35]

Answer:

1/20

Step-by-step explanation:

6 0

3 years ago

Chad gets an annual salary of 25,000. He and his family spend 3500 per year on food. What percent of his salary is spent on food

Advocard [28]

Answer:

$\frac{x}{100}$ x 25000 = 3500

$x$ x 250 = 3500

x = 3500/250

x = 350/25

x = 14%

7 0

3 years ago

Given two dice, what is the probability of rolling a four on the second die, given that you already rolled a four on the first d

Sholpan [36]

Answer: 1/6

Reason:

There's 1 side labeled "4" out of 6 sides total. So that's where the 1/6 comes from.

The "given that you already rolled a four on the first die" is unneeded info in my opinion, because each die is separate or independent from one another.

8 0

2 years ago