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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

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I don't really know what you're asking with this question. Also, some of the question is cut off.
4 0
3 years ago
Find 3 solutions to the equation y = −4x −1
agasfer [191]

Answer:

(0,-1)

(1,-5)

(2,-9)

Step-by-step explanation:

y = −4x −1

Let x=0

y = 0-1 = -1  (0,-1)

Let x = 1

y = -4(1) -1 = -4-1 =-5  (1,-5)

Let x = 2

y = -4(2) -1 = -8-1 =-9 (2,-9)

4 0
2 years ago
Solve similar triangles advanced part 1​
balu736 [363]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Corresponding segments of similar triangles are proportional. Here, the similar triangles are ...

  ΔABC ~ ΔADE

so the relationship between the sides is ...

  BC/BA = DE/DA . . . . . . we put the unknown value in the numerator

  x/4 = 12/(4+8)

  x = 4(1) = 4

The length of side x is 4.

4 0
3 years ago
Question 1 Part B (3 points): Using the GCF that you chose in part A, factor that GCF out of the polynomial:
Aleks [24]

The factor of the polynomial 18x³ + 6x²y - 9x² - 3xy will be 3x(6x² - 2xy - 3x - y). Then the correct option is C.

<h3>What is a factorization?</h3>

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

⇒ 18x³ + 6x²y - 9x² - 3xy

Then the factor of the polynomial will be

⇒ 18x³ + 6x²y - 9x² - 3xy

⇒ 3x(6x² - 2xy - 3x - y)

More about the factorization link is given below.

brainly.com/question/6810544

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5 0
2 years ago
The difference between the prediction interval and the confidence interval is that A. the prediction interval is narrower than t
Kitty [74]

Answer:

<em>The prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>

Step-by-step explanation:

<em>A</em><em>. the prediction interval is narrower than the confidence interval.</em>

the prediction interval is always wider than the confidence interval.

<em>B</em><em>. the prediction interval provides an interval estimation for the expected value of y while the confidence interval does it for a particular value of y.</em>

False

<em>C</em><em>. the prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>

<em>True</em>

<em>D.</em><em> the confidence interval is wider than the prediction interval.</em>

the prediction interval is  wider

8 0
3 years ago
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