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
3x-1/5=x+1/3 pls help me
RoseWind [281]

Answer:

x=4/15

Step-by-step explanation:

first you need to make common denominators for 1/5 and 1/3

the common denominator is 15

5*3=15, 3*5=15. 1*3=3, 1*5=5

new equation:3x-3/15=x+5/15

now subtract x from both sides: 3x-3/15=x+5/15

                                                     -x          -x

                                                     2x-3/15=5/15

now you can add 3/15 to 5/15

2x=8/15

now for the last step, divide by 2 because there are 2 x's

2x/2=x         8/15 /2=4/15

x=4/15

8 0
1 year ago
Read 2 more answers
A triangle has two sides of length 13 and 9. What is the smallest possible whole-number length for the third side
strojnjashka [21]

Answer:

14 MUST CHECK TO SEE IF IM CORRECT

Step-by-step explanation:

a+b>c

the two smallest numbers added together must be greater than the greatest number

ex: the triangle has three sides; 2,3,4 it could form a triangle because 2+3>4

SO HERE:

THE NUMBER MUST BE GREATER THAN 13 ADN THE SMALLEST WHOLE NUMBER GREATER THAN 13 IS 14

7 0
3 years ago
Solve 4x^2+8x-5=0 Using the correct method. Show the steps of your work, and explain why you chose the method used
9966 [12]
Which method are you using 
7 0
3 years ago
21.
jasenka [17]

Answer:

b = y intercept

Step-by-step explanation:

y = mx +b

This is the slope intercept form of a line

The m is the slope and the b is the y intercept

8 0
3 years ago
What is the reciprocal of –4? <br> 4<br><br><br><br><br><br> 1
stepan [7]
-4/1 is the reciprocal
7 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone answer this question, and give me the work?
    12·1 answer
  • The function f(x) = 2(3)x represents the growth of a dragonfly population every year in a remote swamp. Rose wants to manipulate
    9·2 answers
  • Write the General Form of the equation of the circle centered at (1, 2) with radius 3. PLZZZZZZZZZZZZZ Help
    6·1 answer
  • Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours l
    8·2 answers
  • What is the solution to 3|–3x + 9| = –18?
    13·2 answers
  • What is the product of 7.5 and 1000
    8·2 answers
  • Use the function below to find
    10·1 answer
  • Solve for x 2(x-7)=0.2(x+2)+5.11
    7·1 answer
  • In a class of pupils, 13 play the flute and
    9·2 answers
  • 10 Points + BRANIEST
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!