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Korvikt [17]
3 years ago
5

Suppose that a person's birthday is a uniformly random choice from the 365 days of a year (leap years are ignored), and one pers

on's birthday is independent of the birthdays of other people. alex, betty and conlin are comparing birthdays. define these three events: a = {alex and betty have the same birthday} b = {betty and conlin have the same birthday} c = {conlin and alex have the same birthday} are these events independent ?
Mathematics
1 answer:
maxonik [38]3 years ago
3 0
P ( A ∩ B ∩ C) = 1/365
P(A) = 1/365, P(B)= 1/365, P(C) = 365
If events A,B and C are independed then P (A ∩ B ∩ C) = P (A) P(B) P(C) must be true,
From the probabilities we have 
1/365≠ 1/365 * 1/365 * 1/365
Thus, events A,B, C are not independent.

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Lelu [443]

Answer:

1. City A: 150 violent crimes per 100,000 residents.

   City B: 161 violent crimes per 100,000 residents.

2. City A

Step-by-step explanation:

City A:

Population = 123,000

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Violent crimes per 100,000 people:

V_{100k} = \frac{185*100,000}{123,000} \\V_{100k} = 150

City B:

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Violent crimes per 100,000 people:

V_{100k} = \frac{135*100,000}{84,000} \\V_{100k} = 161

1. City A: 150 violent crimes per 100,000 residents.

   City B: 161 violent crimes per 100,000 residents.

2. Even though it has a bigger number of crimes, City A has the lowest crime rate since its population is larger.

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People at a library were asked how many states they
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Answer is D on e2020

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Alvin completely filled his 21-gallon
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7 cents per gallon if his tank was completely empty upon filling

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7 0
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This seems like a right triangle problem.

So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (a^{2} +b^{2} =c^{2}) to solve for the height of the house, in which we shall name it x.

So, the equation is 4^{2} +x^{2} =14^{2}.

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16+x^{2}= 196

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