We distribute 15 books among four students so that all allocations are equally likely. What is...

We distribute 15 books among four students so that all allocations are equally likely. What is the probability that

a. the first student gets at least 2 books?

b. the first or the last student gets at least two books?

c. no one gets less than three books?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

If we create a 5 digit bit string that is randomly generated, all strings equally likely......

If we create a 5 digit bit string that is randomly generated, all strings equally likely... 1. possibility of string containing three consecutive zeroes? 2. conditional probability of it containing three consecutive zeroes where first number is a one?

There are 36 students in the classroom. Assuming each date of the year are equally likely...

There are 36 students in the classroom. Assuming each date of the year are equally likely to be the birthday of a student. Calculate the probability that there are at least two students having the same birthday. use probability and stats to solve

A university wants to determine if students from different majors are equally likely to be cited...

A university wants to determine if students from different majors are equally likely to be cited for academic dishonesty. They average instances of documented cheating across 10 years for three different academic majors and find the following results: Business Administration (M = 5.1; N = 10), Fine Art (M = 1.9; N = 10), and Nursing (M = 3.2; N = 10). They also calculated the between-group and within-group sum of squares (SSB = 301.6; SSW =1343.8). Use a one-way...

How many ways are there to distribute 30 identical apples among 4 kids so that each...

How many ways are there to distribute 30 identical apples among 4 kids so that each kid gets at least 1 apple but no kid gets more than 20 apples.

A bag contains 5 batteries, all of which are the same size and are equally likely...

A bag contains 5 batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select 2 batteries at random, use the counting principle to determine how many points will be in the sample space if the batteries are selected a) with replacement. b) without replacement. a) With replacement

Suppose that a sample space consists of ? equally likely outcomes. Select all of the statements...

Suppose that a sample space consists of ? equally likely outcomes. Select all of the statements that must be true. a. Each outcome in the sample space has equal probability of occurring. b. Any two events in the sample space have equal probablity of occurring. c. The probability of any event occurring is the number of ways the event can occur divided by ?. d. Probabilities can be assigned to outcomes in any manner as long as the sum of...

1.When probabilities are assigned based on the assumption that all the possible outcomes are equally likely,...

1.When probabilities are assigned based on the assumption that all the possible outcomes are equally likely, the method used to assign the probabilities is called the A.conditional method B.relative frequency method C.subjective method D.Venn diagram method E.classical method 2.You study the number of cups of coffee consumer per day by students and discover that it follows a discrete uniform probability distribution with possible values for x of 0, 1, 2 and 3. What is the standard deviation of the random...

A mutual fund has five equally likely outcomes: 15%, -7%, 5%, 2%, and -1%. Calculate the...

A mutual fund has five equally likely outcomes: 15%, -7%, 5%, 2%, and -1%. Calculate the variance of the rate of return. 0.53% 0.26% 0.10% 0.14%

We have to randomly select 2 students for an award from a group of 5 equally...

We have to randomly select 2 students for an award from a group of 5 equally deserving students. Of the five students two are female and three are male.Event C as selecting at least one female. Define event D as awarding only one male, what is the probability of event D? P(C U D) 8. P(C ∩ D) Are C and D disjoint? Explain in detail using sample space if possible. And pls if you use symbols like this: a)...

INSTRUCTIONS: Attempt ALL questions There are 30 students in a class. Among them, 8 students are...

INSTRUCTIONS: Attempt ALL questions There are 30 students in a class. Among them, 8 students are learning both Audit and Tax. A total of 18 students are learning Audit. If every student is learning at least one language, how many students are learning Tax in total? Among a group of students, 50 played cricket, 50 played hockey and 40 played volley ball. 15 played both cricket and hockey, 20 played both hockey and volley ball, 15 played cricket and volley...

Subjects