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
larisa [96]
2 years ago
5

Suppose that a box contains 45 light bulbs, of which 36 are good and the other 9 are defective. Consider randomly selecting thre

e bulbs without replacement. Let E denote the event that the first bulb selected is good, F be the event that the second bulb is good, and G represent the event that the third bulb selected is good.
(a)

What is

P(E)?


(b)

What is

P(F|E)?

(Round your answer to three decimal places.)


(c)

What is

P(G|E ∩ F)?

(Round your answer to three decimal places.)


(d)

What is the probability that all three selected bulbs are good? (Round your answer to three decimal places.)
Mathematics
1 answer:
Andrew [12]2 years ago
5 0

Answer:

Step-by-step explanation:

Given that a box contains 45 light bulbs, of which 36 are good and the other 9 are defective.

Probability for any one to be defective as of now is \frac{36}{45} =0.80

a) P(E) = 0.80

b) After I draw we have 35 good ones and 9 defective

P(F/E) =\frac{35}{44} \\=0.796

c) P(G/EF)

This is the probability for iii bulb to be good given I and II are goog.

Once I and ii are good we have 43 bulbs with 34 good ones

P(G/EF) =\frac{34}{43} \\=0.7907

You might be interested in
"Two less than the total of a number and five"​
tino4ka555 [31]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
The radius of the base of a cylinder is 10 centimeters and its height is 20 centimeters A cone is used to fill the cylinder with
rewona [7]

Answer:

24 times

Step-by-step explanation:

cone is used to fill cylinder

conevolume times x=cylindervolume

so

x=cylinderv/conev

cylinderv=hpir^2

conevolume=1/3hpir^2

cylinder:

v=hpir^2

r=10

h=20

v=20*pi*10^2=2000π

cone=1/3hπr²

r=5

h=10

v=1/3(10)π5²=250π/3

volume of cylinder ÷ volume of cone

= 2000π ÷ (250π÷3)

= 6000π ÷ 250π

= 600÷25

= 24

please mark me brainliest

6 0
3 years ago
Please tell fast plzzzzzz​
laiz [17]

Answer:

x=90-44=46is your answer

8 0
3 years ago
Read 2 more answers
What is the value of f(x)=-4 ?
Gala2k [10]
Answer : 2

Step by step walkthrough:
7 0
3 years ago
How much is 78ml when you turn it to litres​
Xelga [282]

Answer:

0.078 liters

Step-by-step explanation:

78ml=78/1000L

78ml=0.078ml

8 0
3 years ago
Read 2 more answers
Other questions:
  • Can I have more help? Thank you xtra points!
    7·2 answers
  • Please help! 20 points​
    8·2 answers
  • Help me solve this please
    8·1 answer
  • Help me out again Please thanks
    13·2 answers
  • Find the indicated probability.
    8·1 answer
  • Please help, no links
    11·1 answer
  • The height of most tigers are about 4.8 feet. What mixed number represents the average height of a tiger?
    13·1 answer
  • Will give brainliest and plz no fake answers
    14·1 answer
  • Mary got a sales job at her father's company. She was paid $9 per hour plus a 5%commission on her sales. Last week sheworked 40
    7·1 answer
  • A movie theater is showing 1 musical and 7 other movies (8 movies in total). Each type of movie is equally likely to be chosen.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!