Question

In: Statistics and Probability

Suppose that there is a class of n students. Homework is to be returned to students,...

Suppose that there is a class of n students. Homework is to be returned to students, but the students’ homework assignments have been shuffled and are distributed at random to students.

a) Calculate the probability that you get your own homework back. (I think it is 1/n)

b) Suppose that I tell you that another student, Betty, got her own homework. Does this change the probability that you get your own homework, and if so what is the new probability? (I think it is now 1/(n-1)

c) What is the expected number of students who receive their own homework?

d) Find an approximation for the distribution of the random variable denoting the number of students who receive their own homework in the limit of large n.

Solutions

Expert Solution

Answer:

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Suppose that there is a class of n students. Homework is to be returned to students,...
Suppose that there is a class of n students. Homework is to be returned to students, but the students’ homework assignments have been shuffled and are distributed at random to students. a) Calculate the probability that you get your own homework back. (I think it is 1/n) b) Suppose that I tell you that another student, Betty, got her own homework. Does this change the probability that you get your own homework, and if so what is the new probability?...
Approximately 54% of mathematics students do their homework on time. In a class of 250 students,...
Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? Answer choices rounded to the nearest whole number. a.) Mean = 135 Variance = 62 Standard Deviation = 8 b.) Mean = 53 Variance = 62 Standard Deviation = 8 c.) Mean = 54 Variance = 8 Standard Deviation =...
The average height for a student in a class with n = 60 students is a...
The average height for a student in a class with n = 60 students is a random variable with an average height of 180 cm and standard deviation σ = 10. The individual heights which make up that average are i.i.d. (1) use Chebyshev’s inequality to find an upper bound for the probability that the average of the class (obtained from the individual student heights) is greater than 200cm. (2) Use Chebyshev’s inequality to upper bound the probability that the...
A: You recently took a statistics class in a large class with n = 500 students....
A: You recently took a statistics class in a large class with n = 500 students. The instructor tells the class that the scores were Normally distributed, with a mean of 7 2 (out of 100 ) and a standard deviation of 8 , but when you talk to other students in the class, you find out that more than 30 students have scores below 45 . That violates which rule for the Normal distribution? the 30–60–90 rule the 1–2–3...
Suppose in a course, hours spent in a week to do homework by students follow normal...
Suppose in a course, hours spent in a week to do homework by students follow normal distribution with mean μ and standard deviation σ. Let X be the number of hours spent in a week by a randomly selected student. What is the probability that she spent more than 0.53 standard deviation hours more than the population average? i.e. find P(X ≥ μ+ 0.53 σ). [Answer to 4 decimal places] Tries 0/5 Suppose we randomly select n students from the...
suppose that you are in a class of 18 students and It is assumed that 15%...
suppose that you are in a class of 18 students and It is assumed that 15% of the population is left handed. a. compute probability that exactly 5 students are left handed( 3 decimal places) b. probability that at most 4 students are left handed (3 decimal places) c. probability that at least 6 students are left handed (3 decimal places)
Q: In a class there are ‘n’ students. All of them have appeared for the test....
Q: In a class there are ‘n’ students. All of them have appeared for the test. The Teacher who evaluated the sheets wants to know average marks of the class. Write code to help the teacher find average performance, use most appropriate data type/structure for storing marks.            in c programing language ....
Q: In a class there are ‘n’ students. All of them have appeared for the test....
Q: In a class there are ‘n’ students. All of them have appeared for the test. The Teacher who evaluated the sheets wants to know average marks of the class. Write code to help the teacher find average performance, use most appropriate data type/structure for storing marks.    write the program in c lnguage
Suppose a professor gives an exam to a class of 40 students and the scores are...
Suppose a professor gives an exam to a class of 40 students and the scores are as follows. (Type the data set in StatCrunch.) 35 44 46 47 47 48 49 51 53 54 55 55 57 57 57 58 59 59 59 59 60 60 60 60 60 62 62 62 64 68 69 70 72 73 73 75 75 77 82 88 Top 10% of scores receive an A Bottom 10% of scores receive an F Scores between...
1. (10pts) Suppose from a class survey of 35 students, 6 students states they believe in...
1. (10pts) Suppose from a class survey of 35 students, 6 students states they believe in Bigfoot. Answer the following questions. (a) Obtain a point estimate for the population proportion of students that believe in Bigfoot. (b) Determine the critical value needed to construct a 98% confidence interval for the proportion of students that believe in Bigfoot. (c) Determine the standard error estimate (SE-est) for the confidence interval. (d) Construct a 98% confidence interval for the proportion of students that...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT