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
Lunna [17]
3 years ago
9

There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=

12). a. Define the sample space S and the associated probability function (pf). Plot pf. b. Plot the associated exceedance probability function G(x)=Pr[X>x]; c. Compute mean and standard deviation of X.
Mathematics
1 answer:
yulyashka [42]3 years ago
4 0

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = \frac{12P4}{12^{4} }

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = \frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }

P(X=2) = 0.401

P(X=3) = \frac{4C3 * 12P2}{12^{4} }

P(x=3) = 0.025

P(X=4) = \frac{12}{12^{4} }

P(X=4) = 0.001

Mean, \mu = \sum xP(x)

\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879

Standard deviation, SD = \sqrt{\sum x^{2} P(x) - \mu^{2}}  \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2}  * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}

SD = 1.033

You might be interested in
Please no links or anything except the correct answer, please!
Snowcat [4.5K]

Answer:

cosS is 33/65

Step-by-step explanation:

7 0
3 years ago
40 percent of students survey said that they are night owls . If 300 students said that they are night owls how many students we
sattari [20]

Based on the calculations that 300 is 40%, 375 is considered 50% or halfway.. in this case, we must multiply 375 by 2 and we will discover how many students were surveyed:

375 x 2 = 750

7 0
2 years ago
Lisa's store collects 5% sales tax on every item sold if if she caused if she collected $22. In sales tax what was the cost of t
Advocard [28]
Im assuming the question is asking: if she collected $22 in sales tax what was the cost of the items her store sold.  you should make sure you type the question correctly otherwise it'll be hard to answer.

going with my assumption of what the question is, we want to find the total cost of all items her story sold.  let that cost be c. since there is 5% sales tax on everything and we know the sales tax is worth $22,m we have:

5%(c) = 22
dividing both sides by 5% (or .05) gives:
c = $440

3 0
3 years ago
PLEASE HELP IF YOU CAN! IM DESPERATE! DUE TODAY!
sukhopar [10]

Answer:

2x+6=-8(x>=-7), 2x+3<9(x<3), 2x-4<=-8(x<=-2), -x-8>=-5(x<=-3), x+-4<=-3(x<=1)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help i need help with this 10x+16&gt;6x+20
Mamont248 [21]

What does > mean?

10x + 16 ≥ 6x + 20

Subtract both sides by 16

10x ≥ 6x + 4

Subtract both sides by 6x

4x ≥ 4

Divide both sides by 4

x ≥ 1

I believe this is your answer good luck!!

<<<Emily>>>

4 0
3 years ago
Other questions:
  • What is the world smallest number that is divisible by all the numbers 1,2,3,4,5,6,7,8,9,10?
    14·2 answers
  • What is the remainder when 16,055 is divided by 16? (Input numeric values only)
    11·2 answers
  • In a diagram, KN =4, JN = 20, LN = 10 AND MN = x. Find ML.
    7·1 answer
  • Below are two parallel lines with a third intersecting them
    12·1 answer
  • Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos
    10·1 answer
  • PLEASE ANSWER THIS RIGHT!! TODAYS MY LAST DAY TO DO THIS
    15·1 answer
  • Helppppp plsssssssssssssssssssssss thanks so much:D
    13·2 answers
  • WILL MARK BRAINLIEST!!!
    14·2 answers
  • What is the unit rate?<br> Will give brainliest
    13·1 answer
  • Suppose that x and y vary inversely and x = 1 when y =5. Write a function that models the inverse variation Graph the function a
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!