9x+13=10x+15

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

2 years ago

Matt gets paid an hourly rate of $12.50 for the first 40 hours he works in a week. After 40 hours , Matt gets paid at an overtim

lukranit [14]

12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours

(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100

Hope this helps! (If not correct me if its wrong xd)

5 0

2 years ago

Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take

Ipatiy [6.2K]

Answer:

a) r = 0.974

b) Critical value = 0.602

Step-by-step explanation:

Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below

Test A | 64 48 51 59 60 43 41 42 35 50 45

Test B | 91 68 80 92 91 67 65 67 56 78 71

To find - (a) What is the value of the linear coefficient r ?

(b) Assuming a 0.05 level of significance, what is the critical value ?

Proof -

A)

r = 0.974

B)

Critical Values for the Correlation Coefficient

n alpha = .05 alpha = .01

4 0.95 0.99

5 0.878 0.959

6 0.811 0.917

7 0.754 0.875

8 0.707 0.834

9 0.666 0.798

10 0.632 0.765

11 0.602 0.735

12 0.576 0.708

13 0.553 0.684

14 0.532 0.661

So,

Critical r = 0.602 for n = 11 and alpha = 0.05

6 0

2 years ago

Alfonso bought 1/2 pound of raisins, 2/5 pound of walnuts, and 1/3 pound of almonds. Write a comparison statement comparing the

elixir [45]

2/5 lbs walnuts > 1/3 lbs almonds
Hope this helped ;)

5 0

2 years ago

Read 2 more answers

The quotient of a number and nine is less or equal to fifteen

dimulka [17.4K]

Remark

If you just want the way this would be written out the answer is

$\dfrac{x}{9} \leq 15$

Note

1. The quotient is the answer of a division problem.

2. The number is represented by the letter x

5 0

3 years ago