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
user100 [1]
2 years ago
9

3 A bag contains red and blue marbles, such that the probability of drawing a blue marble is 8 An experiment consists of drawing

a marble, replacing it, and drawing another marble. The two draws are independent. What is the probability that both of the marbles drawn are blue? a. b. $ 24% * 39% C. d 0 14% 3 A bag contains red and blue marbles , such that the probability of drawing a blue marble is 8 An experiment consists of drawing a marble , replacing it , and drawing another marble . The two draws are independent . What is the probability that both of the marbles drawn are blue ? a . b . $ 24 % * 39 % C. d 0 14 %​

Mathematics
1 answer:
olga2289 [7]2 years ago
7 0

Answer:

My answer: B

Step-by-step explanation:

The probability mass function of random variable X which represents the number of blue marbles drawn in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

The probability of drawing exactly one blue marble = 0.46875

Complete Question

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.

To write the Probabilty mass function, we have to establish that in two draws with replacement, the possible number of blue marbles that can be drawn is 0, 1 and 2.

Probability of drawing a blue marble = P(B) = (3/8)

Probability of not drawing a blue marble = P(B') = 1 - (3/8) = (5/8)

- Probability of drawing 0 blue marbles in 2 draws with replacement = P(B') × P(B') = (5/8) × (5/8) = (25/64) = 0.390625

- Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

- Probability of drawing two blue marble in 2 draws with replacement = P(B) × P(B)

= (3/8) × (3/8) = (9/64) = 0.140625

The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

b) Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

So, B is the answer.

You might be interested in
Help me solve this please i will give someone who responds a crown
Dmitrij [34]

Answer:

4.

Step-by-step explanation:

You are so smart. 5 - (-7) = 5+7 which = 12. 12/3 is 4.

6 0
2 years ago
Read 2 more answers
I alipou
Norma-Jean [14]

Answer:

After the sales tax

$235

before sales tax

210.32

Step-by-step explanation:

3 0
2 years ago
The scale on a map says that 6 cm represents 15 km. What distance on the map in centimeters represents 20 kilometers?
ale4655 [162]

Answer:

8 centimeters.

Step-by-step explanation:

6cm\ on\ map\ -> 15km\\

Divide 3 both sides:

2cm\ on\ map\ -> 5km

Multiply 4 on both sides:

8cm\ on\ map\ -> 20km

8cm on the map represents 20km.

4 0
3 years ago
What is x- and y- intercept of -7x + 2y= 14
Novosadov [1.4K]
The y-intercept is (0,7) and the x-intercept is (-2,0).
4 0
3 years ago
Make it 0 on one side <br><br> x2 - 2x + = 4(x2-2x +1)-3
Shkiper50 [21]

Answer:

-3x² +6x -1 = 0

Step-by-step explanation:

x2 - 2x + = 4(x2-2x +1)-3

x² - 2x = 4x²-8x +4 - 3

x²-4x²-2x+8x = 4-3

-3x² +6x = 1

-3x² +6x -1 = 0

4 0
3 years ago
Other questions:
  • Cups of sugar is 3/4, cups of butter is 1/8 what is the number of cups of sugar for each cup of butter
    5·1 answer
  • How do I prove that a quadrilateral is a rectangle?
    11·2 answers
  • Five students plan to rent a minivan for the weekend and equally share the rental cost. By adding one more people, they can each
    12·1 answer
  • If a bacteria population starts with 80 bacteria and doubles every four hours, then the number of bacteria after t hours is n =
    15·1 answer
  • the distance between Two Cities on a map is 4.125. find the actual distance if the scale on the map was 2 inches = 40 miles
    13·1 answer
  • What is the slope or rate of change 34 points ASAP plz I’m being times
    15·1 answer
  • Which is an equation for a line that passes through (-1,3) and (4. - 7)?
    14·1 answer
  • glen is looking into buying a piece of land. he estimates that the land measures 700 yd by 50 yd. the land is actually 720 yd by
    6·1 answer
  • What is infant mortality rate?
    13·2 answers
  • A box-and-whisker plot. The number line goes from 10 to 65. The whiskers range from 15 to 60, and the box ranges from 40 to 50.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!