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
nikitadnepr [17]
3 years ago
6

Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that birthdays are equally likely to fall on any day o

f the year. Consider a group of 10 people, of which you are not a member. The sample space consists of all possible sequences of 10 birthdays (onefor each person).
a. Define the probability function P for S.
b. Consider the following events:
1. "someone in the group shares your birthday";
2. "some two people in the group share a birthday";
3. "some three people in the group share a birthday". Carefully describe the subset of S that corresponds to each event.

c. Find an exact formula for P(A). What is the smallest m such that P(A) > .5?
d. Justify why m is greater than 365 without doing any computation. (We 3 are looking for 2 a short answer giving a heuristic sense of why this is so.)
e. Find an exact formula for P(B).
Mathematics
1 answer:
faust18 [17]3 years ago
6 0

Answer:

Follows are the solution to the given question:

Step-by-step explanation:

They can count the days of the year 1 to 365. The random project consists of drawing a sample of n objects from D where elements are n people's birth in a group but instead, D = {1,....365}. And then there's the issue.

S=365^n

This because the list of future birthdays of n people was its test point; therefore m points will be in the sequence so each point contains 365 distinct outcomes. The probability function P for \Omega is that any event is likely to happen in 365 days.

P(x)=\frac{1}{365^{n}}

if x is between 1 and 365 as well as the occurrence is just all similarly possible

In point i:

That somebody mentions their birthday throughout the party

Guess I was born on day b. Therefore the consequence of "x is in A" is "b is now in the series of x," which is to say, b = bk for some amount k approximately 1 and n.

In point ii:

Any 2 persons share the same birthday at this party". A result x is in B" means which "two of entries in x are same." This means that perhaps the outcome x is in B if or only if bj = bk is in B of two numbers j, and k of 1, of two. , no, n.

In point iii:

Many three students share the same birthday with both the party. The consequence is x at the level of C only when bj = bk = bl at three (different) indices, j, k, l, 1. , no, n.

You might be interested in
Dan's gas tank is 3/8
Neporo4naja [7]

Answer:

16 gallons

Step-by-step explanation:

8 0
2 years ago
What is the value of f(2) the function f(x)=4x^2-5x+1
snow_tiger [21]

Answer: f(2)=7

Step-by-step explanation:

F(2)= 4x2^2-5x2+1

4x4-10+1

6+1=7

7 0
3 years ago
Determine the equation of the circle with radius 99 and center (-1,-8)(−1,−8).
kumpel [21]
<h2>Equations of Circles</h2>

Generally, you'd see the equation of a circle organized in the following format:

(x-h)^2+(y-k)^2=r^2

  • (h,k) is the center
  • r is the radius

To determine the equation given the center and the radius:

  1. Plug both pieces of information into the general equation
  2. Simplify

<h2>Solving the Question</h2>

We're given:

  • Radius: 99
  • Center: (-1,-8)

Plug the radius and center into the equation as r and (h,k):

(x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801

<h2>Answer</h2>

(x+1)^2+(y+8)^2=9801

7 0
2 years ago
Determine if line jk and line lm are parallel perpendicular or neither​
frez [133]

Answer:

what are you talking about

7 0
3 years ago
(1, 4) is a solution to the system that includes y=3x + 1 and y = -x + 5.
SIZIF [17.4K]

Answer:

yes

Step-by-step explanation:

y=3x + 1

y = -x+5

Check if (1,4) solves the first equation

4 = 3(1)+1

4 = 3+1

4=4

This is true

Check the second equation

4 = -1+5

4=4

This is true

(1,4) is a solution to the system of equations

7 0
2 years ago
Read 2 more answers
Other questions:
  • One six times one and four six
    5·1 answer
  • What is 0,-4/7,-1/3,0.1,-0.1 in form least to greatest
    15·1 answer
  • 01:55:22
    9·1 answer
  • Why can an even number be shown as the sum of two aqual addends
    15·2 answers
  • Whats the graph after you transition it 6 units left?
    10·1 answer
  • What is the solution of this system of linear equations?
    7·1 answer
  • If the longest side of a triangle is 12 inches, what must be true about the lengths of the remaining sides?
    12·1 answer
  • Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probab
    10·1 answer
  • 19:10.___ for the __ of man is come to ___ into __ that which was __​
    14·1 answer
  • 3 If f(x) = x2 and g(x) = x + 6, find g(f(0)). A. -6 B. 6 C. 12 D. 36
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!