Question

A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain exactly one 0.

Answer 1

total outcome = 2^3 = 8
exactly one 0 = 3C1 = 3

so 3/8

Answer 2

The sample space is the set of all possible outcomes. So in this case, the sample space is

000
001
010
100
011
101
110
111

Notice how there are 3 instances where you have exactly 1 zero (011,101, 110) out of 8 total possible outcomes. So that's why the answer is 3/8

Answer 3

okay thank u so much!!!!!!!

Answer 4

you're welcome

Answer 5

The manager of a convenience store wishes to determine how many cartons of eggs are damaged in shipment and delivery. For ten shipments of 1000 cartons of eggs, she examines every 50th carton to see how many cartons contain cracked eggs.


How large is the sample?

Answer 6

a: 200 cartons
b: the 50th carton
c:1000 cartons
d: cannot determine from this information

Answer 7

oh sorry, i didn't see the "ten" part

there are 10*1000 = 10,000 cartons total

so the sample size is 10,000/50 = 200 cartons

Answer 8

There are three schedule options for classes at a high school: 90-minute classes every other day for a year, 90-minute classes every day for a semester, or 45-minute classes every day for a year. Out of 1200 students, 50 students from each grade level are chosen at random and asked their preference.


Identify the population and the sample.

Answer 9

were you able to get anywhere?

Answer 10

yes it was correct. your being a life savor because i am the worst at math and i need to get these right for my online e2020 class

Answer 11

I meant for the current problem. Were you able to get anywhere with it?

Answer 12

no

Answer 13

the info will be drawn from this sentence "Out of 1200 students, 50 students from each grade level are chosen at random and asked their preference"

Answer 14

the population is ALWAYS larger than the sample size

Answer 15

so the population is the 1200 students
the sample size is the 50 selected

Answer 16

"50 students from each grade level " I mean, so if you're talking about 4 grade levels, then you're talking about 4*50 = 200 students

Answer 17

oh ok. i understand that.

Answer 18

Is the data set “color of the coal taken from a railcar” quantitative or qualitative? If it is quantitative, is it discrete or continuous?

Answer 19

is color a number in any way?

Answer 20

no

Answer 21

so it has to be qualitative

Answer 22

if you can put it in some numerical way (and do math on it), then it's quantitative (think quantity)

Answer 23

ahhh ok i never knew what those were till now.

Answer 24

what about discrete r continous

Answer 25

notice how it says "If it is quantitative, is it discrete or continuous? "

IF it's quantitative...it's not...so we don't have to worry about discrete vs continuous

Answer 26

i know that but what are they? when do you know which is which?

Answer 27

discrete data is something you can count (example: the number of people in the classroom)

continuous data is something that's measured, weighed, etc (example: heights of students)

with discrete data, there are gaps in the numbers and the numbers are usually whole numbers (ex: there's a gap between 1 student and 2 students)

with continuous data, there are no gaps in the numbers (you can be between 1 and 2 to get say 1.5)

Answer 28

calories burned while running a marathon?

Answer 29

you can burn 1 calorie, 1/2 a calorie, 0.2 calories, etc etc

so this is continuous data

Answer 30

distance a baseball travels after being hit would be continuous?

Answer 31

yep since you can have 20 feet, 20.2 ft, 20.0002 ft, etc

Answer 32

what about the number of leaves on a branch? that would be counting so its discrete?

Answer 33

you nailed it

Answer 34

you can't have half a leaf (well technically you can,but we're counting the number of WHOLE leaves) or anything like that

Answer 35

haha ok i get the hang of that now. those i thought were hard but i now see are so simple.

Answer 36

yeah they're not too bad