Consider a collection of n individuals. Assume that each persons birthday is equally likely to be any
Question:
Consider a collection of n individuals. Assume that each person’s birthday is equally likely to be any of the 365 days of the year and also that the birthdays are independent. Let Ai,j, i ≠ j, denote the event that persons i and j have the same birthday. Show that these events are pairwise independent, but not independent. That is, show that Ai,j and Ar,s are independent, but the
events Ai,j, i ≠ j are not independent.
Transcribed Image Text:
п
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (15 reviews)
PA ij 1 365 For i j k PA ...View the full answer
Answered By
Roxan Vega
As a tutor in a math class for grade 10 students, I have gained extensive hands-on experience and developed proficiency in various aspects. Firstly, I have a deep understanding of the math curriculum for grade 10, including topics such as algebra, geometry, trigonometry, and statistics. I am able to explain these concepts in a clear and concise manner, breaking them down into simpler steps to ensure students grasp the underlying principles.
In addition, I have honed my skills in identifying and addressing students' individual learning needs. I adapt my teaching style and approach based on the unique requirements of each student, whether it's providing additional examples, offering different strategies for problem-solving, or providing additional practice exercises.
I also have experience in using different teaching aids and tools, such as visual aids, manipulatives, and technology, to enhance students' understanding of math concepts. I believe in incorporating hands-on activities and real-world applications to make math engaging and relevant for students.
Furthermore, I have developed effective communication and interpersonal skills through my experience as a math tutor. I am able to establish a positive and supportive learning environment where students feel comfortable asking questions and seeking clarification. I am patient, approachable, and encourage critical thinking and problem-solving skills.
Overall, my hands-on experience and proficiency as a math tutor in a grade 10 math class have allowed me to effectively support students in their learning journey, helping them build confidence in their math skills and achieve academic success.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Statistics questions
-
Consider a random collection of n individuals. In approximating the probability that no 3 of these individuals share the same birthday, a better Poisson approximation than that obtained in the text...
-
Consider a collection of 100 light bulbs. Let Xj denote the lifetime of the jth bulb. Let Y denote the sum of the lifetimes of all 100 bulbs.
-
A collection of n randomly selected parts is measured twice by an operator using a gauge. Let Xi and Yi denote the measured values for the ith part. Assume that these two random variables are...
-
The indicating instruments with linear scale is Electrostatic instrument a O Thermocouple instrument.bo Dynamometer instrument C PMMC.d O
-
What is the difference between discrete and continuous variables? Under what circumstances would each be applicable?
-
For the damped second-order system with the transfer function given below, find the values of \(\zeta, \omega_{n}, t_{s}, t_{r}, t_{p}\), and percent overshoot:...
-
Explain an auditor's role during a physical inventory observation.
-
Foxx Corporation acquired all of Greenburg Companys outstanding stock on January 1, 2011, for $600,000 cash. Greenburgs accounting records showed net assets on that date of $470,000, although...
-
5. A uniform piece of sheet metal 30 cm on a side is cut to produce the following shape. Each of the squares making up the new shape has the same mass. Locate the coordinates of the centre of mass of...
-
Create a class HugeInteger which uses a 40-element array of digits to store integers as large as 40 digits each. Provide methods parse, toString, add and subtract. Method parse should receive a...
-
Suppose that n independent trials, each of which results in any of the outcomes 0, 1, or 2, with respective probabilities p0, p1, and p2, are performed. Find the probability that outcomes 1 and 2...
-
Show that 0 ai 1, i = 1, 2, . . ., then Suppose that an infinite number of coins are to be flipped. Let ai be the probability that the ith coin lands on heads, and consider when the first head...
-
American Food Services, Inc. leased a packaging machine from Barton and Barton Corporation. Barton and Barton completed construction of the machine on January 1, 2011. The lease agreement for the $4...
-
Businesses that need to deal with large collections of textual information can use text mining (also known as text analytics) to reduce the work involved in reading and analyzing everything from...
-
Read Figure 13.14, a solicited proposal, and (1) analyze the strengths and weaknesses of this document and (2) revise the document so that it follows this chapters guidelines. Figure 13.14: Memco...
-
Your organization is in the unfortunate position of having to cut its costs because sales and profits have reduced significantly during a period of difficult economic trading conditions. The senior...
-
Recall a social or work-related situation when you felt conversationally challenged. Describe how you could have used the guidelines in this chapter to engage more competently. a. If appropriate,...
-
Mental health experts generally find it is better to have others disagree with you than ignore you. With a partner or group of classmates, recall specific examples from personal experiences to...
-
In Problems 1 through 10, find a power series solution of the given differential equation. Determine the radius of convergence of the resulting series, and use the series in Eqs. (5) through (12) to...
-
Compile data on consumption and expenditures for the following categories in 30 different countries: (1) food and beverages, (2) clothing and footwear, (3) housing and home operations, (4) household...
-
If the distribution function of X is given by calculate the probability mass function of X. 0. b <0 1 0
-
Let X be a Poisson random variable with parameter . a. Show that by using the result of Theoretical Exercise 4.15 and the relationship between Poisson and binomial random variables. b. Verify the...
-
Four independent flips of a fair coin are made. Let X denote the number of heads obtained. Plot the probability mass function of the random variable X - 2.
-
2.1 Explain by means of drawings how the Successive-Approximation conversion process takes place when receiving an analog voltage input. Use the KEEP/RESET method. Use 5 V input. Vref= 8 V (10) 2.2...
-
Assume that we have a Ridge regression problem with only one predictor, and the true model is linear without an intercept, i.e. Y = X + e. Assume that we have In samples, (xi, y), (x2, Y2), . . .,...
-
Please write a program that calculates the final score of multiple students using different weight of exams and assign their final grade using the following criteria: If the average grade is 90 or...
Study smarter with the SolutionInn App