1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olegator [25]
2 years ago
13

Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.

Mathematics
1 answer:
dolphi86 [110]2 years ago
6 0

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\

The \frac{n!}{x!(n-x)!} portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>
You might be interested in
If trianglePTS ~ trianglePQR, find the value of x.
tresset_1 [31]

Answer:

bei2uer22vv

Step-by-step explanation:

8 0
2 years ago
(x + y , x - y) = (4 , 2)​
Naddika [18.5K]

Step-by-step explanation:

(x + y , x - y) = (4 , 2)

x+y=4 ------(1)

x-y=2 ------(2)

_____ (adding two equation)

2x=6

x=3

From equation 1

3+y=4

y=1

6 0
2 years ago
A bag contains 3 red, 5 black, and 7 white balls. You take them out, one at a time, without looking. What is the least number of
Neko [114]

Answer:

its rather 3 or 5 its prob 3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I JUST NEED AN ANSWER AND EXPLANATION PLEASE
irakobra [83]

Answer:

B) -3x+y=1

Step-by-step explanation:

y=mx+b

b=y-intercept=1

m=slope=3/1

y=3x+1

-3x+y=1

6 0
2 years ago
Sam owed his father $100. He earned $20 mowing the lawn and did that 3 times. He then borrowed another $25. Sam then gave his fa
Strike441 [17]

Answer:

-27.5

Step-by-step explanation:

-100+60=-40, -40-25=-65, -65+37.5=-27.5

3 0
3 years ago
Other questions:
  • 2g + 14 + 5g – 8g = -3 + 8
    12·1 answer
  • How do i find the slope
    10·1 answer
  • Use the rules for multiplication by powers of 10 to calculate 3 × 100. a. 3 b. 300 c. 30 d. 3,000
    8·1 answer
  • X-21=6 what does x equal??
    5·2 answers
  • Please Help!!!!
    10·1 answer
  • Graph -7x+5y=35 PLEASE HELP QUICK
    6·1 answer
  • Find the value of from the following right triangle.<br><br>plzzz help i will mark you as brainliest
    10·1 answer
  • A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a h
    11·1 answer
  • Turn, Aklo earns 8 points. On his second turn, he loses 3 points.
    7·1 answer
  • Which method correctly solves the equation using the multiplication property of equality and the reciprocal of one-third? one-th
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!