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Simora [160]
3 years ago
10

A box is a cuboid with dimensions 28 cm by 15 cm by 20 cm all measured

Mathematics
1 answer:
Vlad [161]3 years ago
5 0

Answer:

Step-by-step explanation:

The dimensions of the box as given is

28 by 15 by 20.

Therefore writing the lower bound and the higher bound for the box dimensions respectively are --

Box :

Length (27.5 , 28.5)

Width (14.5 , 15.5)

Height (19.5 , 20.5)

Similarly writing the disc dimensions with their lower and higher bounds respectively as --

Disc :

Length (1.45 , 1.55)

Width (14.25 , 14.35)

Height (19.25, 19.35)

Therefore, using the lower bounds of the box and the upper bounds of the discs,

14.35 < 14.5

19.35 < 19.5

So, 17   1.55 =  26.35

And, 26.35 < 27.5

Therefore, 17 discs can definitely fit in the box.

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Match each equation with the correct type of probability?
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Answers:

  1. P(A or B) <u>not</u> mutually exclusive
  2. P(A and B) <u>not</u> independent (aka dependent)
  3. P(A and B) independent
  4. P(A or B) mutually exclusive
  5. P(A | B)

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

Explanation:

The formula we use for "or" cases is

P(A or B) = P(A) + P(B) - P(A and B)

If events A and B are mutually exclusive, then we ignore the P(A and B) part since that is 0. Mutually exclusive events cannot occur simultaneously, which is why we have that 0.

-----------

For "and" cases, we have two basic flavors

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We go with the first case for problem 2. These formulas apply if A and B are not independent.

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-----------

Start with the equation P(A and B) = P(B)*P(A | B) and divide both sides by P(B).

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