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A real estate agent has 17 properties that she shows. She feels that there is a 60% chance of selling any one property during a

Zarrin [17]

Answer:

$P(X\leq 5)$

And we can find the individual probabilities like this:

$P(X=0)=(17C0)(0.6)^0 (1-0.6)^{17-0}=0.000000171$

$P(X=1)=(17C1)(0.6)^1 (1-0.6)^{17-1}=0.00000439$

$P(X=2)=(17C2)(0.6)^2 (1-0.6)^{17-2}=0.0000526$

$P(X=3)=(17C3)(0.6)^3 (1-0.6)^{17-3}=0.000394$

$P(X=4)=(17C4)(0.6)^4 (1-0.6)^{17-4}=0.00207$

$P(X=5)=(17C5)(0.6)^5 (1-0.6)^{17-5}=0.000807$

And adding we got:

$P(X\leq 5) = 0.0106$

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:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

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

$X \sim Binom(n=17, p=0.6)$

And we want this probability:

$P(X\leq 5)$

And we can find the individual probabilities like this:

$P(X=0)=(17C0)(0.6)^0 (1-0.6)^{17-0}=0.000000171$

$P(X=1)=(17C1)(0.6)^1 (1-0.6)^{17-1}=0.00000439$

$P(X=2)=(17C2)(0.6)^2 (1-0.6)^{17-2}=0.0000526$

$P(X=3)=(17C3)(0.6)^3 (1-0.6)^{17-3}=0.000394$

$P(X=4)=(17C4)(0.6)^4 (1-0.6)^{17-4}=0.00207$

$P(X=5)=(17C5)(0.6)^5 (1-0.6)^{17-5}=0.000807$

And adding we got:

$P(X\leq 5) = 0.0106$

5 0

3 years ago

"What is the name of the relationship between angle 1, and angle 4?

zvonat [6]

1 and 4,2 and 3 are the alternate interior angles

7 0

3 years ago

Read 2 more answers

Express as a trinomial: (2x+10)(x-9)

Alborosie

(2x + 10)(x - 9)
2x(x - 9) + 10(x - 9)
2x(x) - 2x(9) + 10(x) - 10(9)
2x² - 18x + 10x - 90
2x² - 8x - 90

5 0

3 years ago

Write the equation for the parabola that has x− intercepts (−2,0) and (1.2,0) and y− intercept (0,−4).

schepotkina [342]

Answer: The answer is $15y+4=25(x-1.6)^2.$

Step-by-step explanation: We are to find the equation of the parabola with x-intercepts (-2,0), (1.2,0) and y-intercept (0,-4).

Therefore, axis of symmetry is

$x=\dfrac{1.2+2}{2}\\\\\Rightarrow x=1.6.$

Let the equation of the parabola be $y=a(x-1.6)^2+k.$

Substituting the points (x,y)=(0,-4) and (1.2,0) in the above equation, we find that

$-4=a(0-1.6)^2+k\\\\\Rightarrow k=-2.56a-4$

and

$0=a(1.2-1.6)^2+k\\\\\Rightarrow k=-0.16a.$

Solving the above two equations, we get

$a=-\dfrac{5}{3}~~\textup{and}~~k=-\dfrac{4}{15}.$

So, putting the values of 'a' and 'k' in the equation of the parabola, we get

$y=-\dfrac{5}{3}(x-1.6)^2-\dfrac{4}{15}\\\\\Rightarrow 15y+4=-25(x-1.6)^2.$

Thus, the equation of the parabola is $15y+4=25(x-1.6)^2.$

3 0

4 years ago

Let f and g be functions. (a) The function (f + g)(x) is defined for all values of x that are in the domain(s) of ____________.

krok68 [10]

Answer:

a) for all values of x that are in the domains of f and g.

b) for all values of x that are in the domains of f and g.

c) for all values of x that are in the domains of f and g with g(x)≠0

Step-by-step explanation:

a) By definition (f+g)(x)=f(x)+g(x). Then x must be in the domain of f and g.

b) By definition (fg)(x)=f(x)g(x). Then x must be in the domain of f and g.

c) By definition (f/g)(x)=f(x)/g(x). Then x must be in the domain of f and g and g(x) must be different of 0.

5 0

3 years ago