$MathMaster logo$

MathMaster

Home
general
five state officials are listed to the right a list the 10 possible samples without replacement of size 33 that can be obt

Question

Five state officials are listed to the right. a. List the 10 possible samples (without replacement) of size 33 that can be obtained from the population of five officials. Lieutenant GovernorLieutenant Governor (Upper LL) Secretary of StateSecretary of State (Upper SS) Attorney GeneralAttorney General (Upper AA) RepresentativeRepresentative (Upper RR) Press SecretaryPress Secretary (Upper PP) b. If a simple random sampling procedure is used to obtain a sample of threethree officials, what are the chances that it is the first sample on your list in part (a)? the second sample? the tenth sample?

292

likes

1460 views

Answer to a math question Five state officials are listed to the right. a. List the 10 possible samples (without replacement) of size 33 that can be obtained from the population of five officials. Lieutenant GovernorLieutenant Governor (Upper LL) Secretary of StateSecretary of State (Upper SS) Attorney GeneralAttorney General (Upper AA) RepresentativeRepresentative (Upper RR) Press SecretaryPress Secretary (Upper PP) b. If a simple random sampling procedure is used to obtain a sample of threethree officials, what are the chances that it is the first sample on your list in part (a)? the second sample? the tenth sample?

$Expert avatar$

4.5

116 Answers

a. To find all possible samples of size 3 that can be obtained from a population of 5 officials, we can use combinations.
There are 5 officials, denoted as LL, SS, AA, RR, PP.
The number of ways to choose a sample of 3 officials without replacement from 5 officials is given by

{5 \choose 3} = \frac{5!}{3!(5-3)!} = 10

.

The 10 possible samples are:
1. LL, SS, AA
2. LL, SS, RR
3. LL, SS, PP
4. LL, AA, RR
5. LL, AA, PP
6. LL, RR, PP
7. SS, AA, RR
8. SS, AA, PP
9. SS, RR, PP
10. AA, RR, PP.

b. If a sample of size 3 is chosen at random, each sample of 3 officials has the same probability of being chosen, as each sample is equally likely.
Therefore, since there are 10 total samples, the probability of choosing each sample is

\frac{1}{10}

.

So, the chances of the sample being the first, second, or tenth sample from the list are all

\frac{1}{10}

.

\textbf{Answer:}

The chances that the sample is the first, second, or tenth sample are all

\frac{1}{10}

.

Frequently asked questions (FAQs)

What is the dot product of vector A(2, 3) and vector B(4, -5)?

+

What is the sine value of an angle in a trigonometric table if it is provided with an angle measure?

+

What is the number of ways to arrange 5 books on a shelf if 2 specific books must be next to each other?

+

New questions in Mathematics

what is 9% of 307

Find the equation of the normal to the curve y=x²+4x-3 at point(1,2)

what is 3% of 105?

You are planning to buy a car worth $20,000. Which of the two deals described below would you choose, both with a 48-month term? (NB: estimate the monthly payment of each offer). i) the dealer offers to take 10% off the price, then lend you the balance at an annual percentage rate (APR) of 9%, monthly compounding. ii) the dealer offers to lend you $20,000 (i.e., no discount) at an APR of 3%, monthly compounding.

There were no defectives in a sample of 1 light bulb does this sample provide sufficient evidence that in the warehouse with millions of light bulbs fewer than 10% are defective?

find f(x) for f'(x)=3x+7

Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A × B| = |C × D|

Using the bank and exact method, calculate the interest on capital 10000 at 12% annual nominal interest rate for the period from 15.3. 2016 until 10/10/2016

In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be:

Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?

Derivative of 2x

Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?

Nancy is a waitress at Seventh Heaven Hamburgers. She wants to estimate the average amount each table leaves for a tip. A random sample of 5 groups was taken and the amount they left for a tip (in dollars) is listed below: $11.00 $8.00 $6.00 $3.00 $7.00 a.) Find a 90% confidence interval for the average amount left by all groups. (*round to the nearest cent*) $ < μ < $ b.) If the sample size were larger, with everything else remaining the same, would the margin of Error increase or decrease? Decrease Increase c.) If the Confidence level were 95% instead of 90%, would the range (size) of the Confidence Interval be larger or smaller? Larger Smaller

A company dedicated to the manufacture of shirts sells the units at a price of $40, the cost of each shirt is $24, a commission is paid for the sale of a unit of shirt of $2 and its fixed costs are $3500 Determine the marginal contribution

Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)

A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?

write in set builder notation { 1,3,9,27,81,243,...}

Convert (324)𝑓𝑖𝑣𝑒 into base-ten

-Please answer to the following questions: What is the price elasticity of demand? Can you explain it in your own words? What is the price elasticity of supply? Can you explain it in your own words? What is the relationship between price elasticity and position on the demand curve? For example, as you move up the demand curve to higher prices and lower quantities, what happens to the measured elasticity? How would you explain that? B-Assume that the supply of low-skilled workers is fairly elastic, but the employers’ demand for such workers is fairly inelastic. If the policy goal is to expand employment for low-skilled workers, is it better to focus on policy tools to shift the supply of unskilled labor or on tools to shift the demand for unskilled labor? What if the policy goal is to raise wages for this group? Explain your answers with supply and demand diagrams. Make sure to properly cite and reference your academic or peer-reviewed sources (minimum 2).

An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?