What is a expression representing the product of 17 and c

According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

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

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

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:

$X \sim Binom(n=9, p=0.47)$

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:

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

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b. at least one

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

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

$P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

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

c. between four and six, inclusive.

For this case we want this probability:

$P(4 \leq X \leq 6)$

$P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

6 0

3 years ago

>>>>>>>>> Use graphs and tables to find the limit and identify any vertical asymptotes of the functio

Fiesta28 [93]

Answer:

Step-by-step explanation:

as you can see something amazing happens in 10 in this function . If you replace x with 10 you get 1/0 wich an indetermined form in Mathematics.

Now we are sure that there is a vertical asymptote in 10. Let's see identify the limit in the left of 10.

let's assign some values to x that are smaller than 10.

1. x=9

1/(9-10)= -1

a negative value

2. x=8

1/(8-10)= -1/2

a negative value

let try a reallu colse value to 10 like 9.99

1/(9.99-10)=-100

a negative value

so we can deduce that the limit is -∞

lim [1/(x-10)]=-∞

x→10-

7 0

3 years ago

Complete the equation for the horizontal line that passes through (5, –7).<br><br> y =

KiRa [710]

Answer:

y = - 7

Step-by-step explanation:

The equation of a horizontal line is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (5, - 7) with y- coordinate - 7, thus

y = - 7 ← equation of horizontal line

8 0

3 years ago

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in

lbvjy [14]

The population is everyone that lives in the city.

6 0

3 years ago

Read 2 more answers

Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound of peanuts. How many 2-pound bags of peanuts

bogdanovich [222]

15 Bags. If he buys 15 two-pound bags he will have thirty pounds of peanuts, enough to fill thirty six 5/6-pound bags without having any peanuts left over.

3 0

3 years ago