Does anyone know this ?? i’m super confused :(

In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

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

$X \sim Binom(n=15, p=0.6)$

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 this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

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

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

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

$X \sim Binom(n=15, p=0.6)$

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 this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

3 years ago

Richard estimates that he can apply fertilizer to 4,486 square feet of grass in 3/4 hour. How many square feet of grass can Rich

Scrat [10]

( PLEASE GIVE BRAINLIEST) 4,486/1 and 3/4 I would do division and use the butterfly method which gets you 1121.5/3 simplified to 373.83 feet per hour

3 0

3 years ago

120% of what number is 20.4

NeTakaya

20.4÷120=0.17
0.17×100=17

8 0

3 years ago

3.) Identify all integers.<br> a. 725<br> d. 50<br> e. 10.2<br> C. 806

NeTakaya

Answer:

A, B, C

Step-by-step explanation:

An integer is a whole number (so not a fraction)

8 0

3 years ago

Read 2 more answers

The endpoints of GH¯¯¯¯¯¯¯¯ are G(9,−6) and H(−1,8). Find the coordinates of the midpoint M. The coordinates of the midpoint M a

jok3333 [9.3K]

Answer:

( 4, 1 )

Step-by-step explanation:

midpoint formula: (x1 + x2/ 2, y1 + y2/ 2)

(9-1/ 2, -6+8/ 2) -> (4,1)

3 0

3 years ago