When drawing five cards randomly from a deck, which is more likely, two pairs or three of a kind? A pair is exactly two of the same denomination. Three of a kind is exactly 3 of the same denomination. (Don 't count three 8's as a pair-that's 3 of a kind. And don 't count 4 of the same kind as two pair that 's 4 of a kind, a very special hand.) How could you simulate 5-card hands? Be careful; once you've picked the 8 of spades, you can't get it again in that hand. a) Describe how you will simulate a component. b) Describe how you will simulate a trial. c) Describe the response variable.

Two cards are drawn from a pack of cards. Is it more likely that two hearts will be drawn when the drawing is with replacement or without replacement?

After simulating the spread of a disease, a researcher wrote, "24% of the people contracted the disease." What should the correct conclusion be?

You're pretty sure that your candidate for class president has about 55% of the votes in the entire school. But you're worried that only 100 students will show up to vote. How often will the underdog (the one with 45% support) win? To find out, you set up a simulation. Describe how you will simulate a trial.

You're pretty sure that your candidate for class president has about 55% of the votes in the entire school. But you're worried that only 100 students will show up to vote. How often will the underdog (the one with 45% support) win? To find out, you set up a simulation. Describe how you will simulate a component.

When drawing five cards randomly from a deck, which is more likely, two pairs or three of a kind? A pair is exactly two of the same denomination. Three of a kind is exactly 3 of the same denomination. (Don’t count three 8’s as a pair—that’s 3 of a kind. And don’t count 4 of the same kind as two pair—that’s 4 of a kind, a very special hand.) How could you simulate 5-card hands? Be careful; once you’ve picked the 8 of spades, you can’t get it again in that hand. a) Describe how you will simulate a component. b) Describe how you will simulate a trial. c) Describe the response variable.

Draw the graphs of the power functions

$$p _ { 1 / 3 }$$

and

$$p _ { 1 / 4 }$$

on the same set of axes. When 0<x<1, which is greater:

$$x ^ { 1 / 3 }$$

or

$$x ^ { 1 / 4 }$$

? When x>1, which is greater:

$$x ^ { 1 / 3 }$$

or

$$x ^ { 1 / 4 }$$

?

Which statements are true for chloroplasts? select the three that apply. they are the sites of reactions that convert chemical energy from food molecules to atp. they have membranous sacs called thylakoids that are surrounded by a fluid called stroma. their matrix contains enzymes that function in cellular respiration. they are the sites of reactions that convert solar energy into chemical energy. their inner membrane has infoldings called cristae. they contain the green pigment chlorophyll?

The World Series ends when a team wins 4 games. Suppose that sports analysts consider one team a bit stronger, with a 55% chance to win any individual game. Estimate the likelihood that the underdog wins the series.

Explain why each of the following simulations fails to model the real situation: Use random numbers 2 through 12 to represent the sum of the faces when two dice are rolled.

Explain why each of the following simulations fails to model the real situation properly: a) Use a random integer from 0 through 9 to represent the number of heads when 9 coins are tossed. b) A basketball player takes a foul shot. Look at a random digit, using an odd digit to represent a good shot and an even digit to represent a miss. c) Use random digits from 1 through 13 to represent the denominations of the cards in a five-card poker hand.

An elementary school teacher with 25 students plans to have each of them make a poster about two different states. The teacher first numbers the states (in alphabetical order, from I-Alabama to SO-Wyoming), then uses a random number table to decide which states each student gets. Here are the random digits: 45921 01710 22892 37076 a) Which two state numbers does the first student get b) Which two state numbers go to the second student?

By some estimates, about 10% of all males have some color perception defect, most commonly red-green colorblindness. How would you as sign random numbers to conduct a simulation based on this percentage?

Determine how much is in a retirement account after 20 years if $5000 was invested at 6.05% interest compounded weekly.