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
Sedaia [141]
2 years ago
15

Assume that there are 365 days in a year, the probability that a person is born on any given day is the same for all days, and e

veryone’s birthdays are independent.
(a) If there are n people, what is the probability that no one is born in July?

(b) If there are 15 people who are all born in July or August, what is the probability that at least two of these people share the same birthday?

For part a, wouldn't it just be 365^n - 365^31 since there are only 31 days in July? Is there a way to make it more order specific? For b I am still confused on how to make order matter if we are just taking days from July or August. Explanations well appreciated!
Mathematics
1 answer:
Artemon [7]2 years ago
3 0

Answer:

Step-by-step explanation:

If each day equal chance then p = Prob that a person is borne on a particular day = 1/365

Each person is independent of the other and there are two outcomes either borne in July or not

p = prob for one person not borne in July = (365-31)/365 = 334/365

a)Hence prob that no one from n people borne in July = (\frac{334}{365} )^n

b) p = prob of any one borne in July or Aug = \frac{(31+31) }{365} =\frac{62}{365}=0.1698

X- no of people borne in July or Aug

n =15

P(X>=2) =15C2 (0.1698)^2*(1-0.1698)^{13} +15C3 (0.1698)^3*(1-0.1698)^{12} +...+15C15 (0.1698)^{15}

=0.7505

You might be interested in
What are the domain, range, and asymptote of h(x) = (0.5)x – 9?
Rzqust [24]

Let's solve for h

hx = 0.5x - 9

Step 1: Divide both sides by x.

hx/x = 0.5x - 9/ x

Answer = h = 0.5x - 9/ x

8 0
2 years ago
There are 21 students in an Math 111 class at Schoolcraft. Suppose you wanted to determine how many ways there are to select 5 s
Nady [450]

Answer:

<h2> Combination</h2>

Step-by-step explanation:

In this case the order of selection does not matter since we are concerned in the number of ways possible a set of students (5) can be grouped for a project, we are going to be using combination technique

In permutation the order of selection matters hence will not give the desired result

5 0
3 years ago
Vera and her roommates ate 1 1/3 pints of ice cream on Friday night and 1 1/6 pints of ice cream on Saturday night. How many pin
Andreas93 [3]

1 1/3 + 1 1/6

 add the 1 +1 = 2

add 1/3 + 1/6 ( find common denominator, which in this case is 6)

 so 1/3 becomes 2/6

2/6 + 1/6 = 3/6 which reduces to 1/2

 they ate  2 1/2 pints total

3 0
3 years ago
The product is 180. one factor is a multiple of 10
AfilCa [17]
To figure this out you would have to divide 180 by 10(which equals 18))
7 0
3 years ago
Read 2 more answers
People people plsss i need your help I'm about to take a geometry final test and i need your help passing it... sooo
attashe74 [19]

Kk I’ll help ya bro!

6 0
3 years ago
Other questions:
  • Todd says (1,4) is a solution to y=2x +2.<br><br> Is he correct?
    7·2 answers
  • F y = 16x, which table shows the values of y for different values of x?
    12·2 answers
  • 6z+10=-2<br><br> pls answer' <br> i willmarke brainlest
    6·2 answers
  • If UW = 4x – 1 and YZ = 5x + 4, what is UW?<br> (I need a answer and steps to stove)
    6·2 answers
  • Plz answer..........
    5·2 answers
  • Find the additive inverse of 1/4
    8·2 answers
  • Mr. Peterson graded 126 tests in 3 hours. How many tests can he grade in 5 hours?
    14·2 answers
  • Solve the simultaneous equations
    7·1 answer
  • Select all the statements you agree with.
    8·1 answer
  • Consider the linear equation 2x - 3y = -12 graph the points
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!