Suppose, you are given with a set of the firs 27 natural numbers i.e {1, 2, 3, 4, 5 ... 26, 27) If you randomly pick any 15 numbers from the set, what is the probability that at least two of these 15 numbers will have 27 as their sum?

Q: A woman has 10 pairs of shoes in disarray and on an untimely trip she randomly chooses 12 shoes.…

A: Given: Total = 20 n = 12

Q: Suppose an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: If approximately 2% of the people in a room of 200 people are left-handed, find the probability that…

A: Given that, n=200,p=0.02 The value of λ is, λ=np  =200×0.02  =4 Let X denote the no.of people are…

Q: Suppose that four people are to be randomly selected from a group of 8 women and 5 men. What is the…

A: Given,Four people are to be randomly selected from a group of 8 women and 5 men.

Q: the probability that the sum of two numbers is (i) питber. an even number (ii) and odd

A:

Q: A digit selected at random from first 20 natural numbers. Find the probabilities that the selected…

A:

Q: if 4 cards are selected from a standard deck of 52 cards without replacement, find probability at le…

A:

Q: 5-digit code is to be created using only the digits 1,2,4,5,8 and 9. If the digits are allowed to…

A: Total possible 5 digit no. = 65 = 7776

Q: nd the probability that if 4 sticks are rarndomly arranged in a row, they will be arranged in order…

A: Number of ways of arranging 4 sticks will be: Total ways = 4!                 = 24

Q: Suppose the group of twenty consists of 8 men and 12 women. How many 7-person teams can be chosen…

A: Given data: The total numbers of people are n=20. The numbers of men are m=8. The numbers of women…

Q: Suppose that a bag contains 43 red balls, 54 blue balls, and 72 green balls, and that 2 balls are…

A: Given information- Total number of balls in a bag = 169 Number of red balls = 43 Number of blue…

Q: choose randomly one of a bag contains 6 cubes Red, 4 yellow,3 blue, and 1 green cube,  Find the…

A: Given that  A bag contain Red cubes = 6 Yellow cubes = 4 Blue cubes = 3 Green cube = 1  Total cubes…

Q: Assume the year has 300 days. What is the probability that in a group of n people, at least two…

A:

Q: A committee of three people is selected at random from a set consisting of five teachers, three…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Show that if there are 8 people in a room, then at least two of them must have been born on the same…

A: There are 7 days in a week.  So we can have 7 people who can have different birthdays from Sunday to…

Q: If each coded item in a catalog begins with 3 distinct letters followed by 4 distinct nonzero…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: If a coded item in a catalogue begins with 3 distinct letters followed by 4 distinct non-zero…

A:

Q: If mary has 10 pop cans and there are 4 Coca Cola cans. Let’s assume Mary will place these cans in a…

A: The number of ways in which 10 cans can be arranged in a line at random , with 4 of them being…

Q: How many subsets are there of the set N = {6, 49}?

A:

Q: What is the rstudio code to find the probability that an observation from N(-2, 1), is between -3…

A: Solution-:Let, X- be the normal random variablewe want to find P(-3<X<1)=?  (By using rstudio)

Q: What is the probability of picking a red card or a king if prior to selection all the black cards…

A: here given , card is picking from deck of 52 card , but prior to the selection all black cards from…

Q: A code has the format of two numbers (0–9) followed by two letters (A–Z) What is the probability…

A: Probability of an event = favorable outcome total number of outcome

Q: An ant is at one vertex of a square and needs to get to the opposite vertex (where there is food),…

A: Part (b) Given that, the predator prevent ant from passing with a probability of p. The various…

Q: From 100 tickets numbered 1, 2, 3, 4, - - - - - - - - -100, four are drown at random. What is the…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: We randomly create strings that contain n zeros and k ones. What is the probability of obtaining the…

A: From the given information size n, there will be nk possible strings of length k. Number of ways of…

Q: In a lottery, each ticket has 5 one-digit numbers 0-9 on it. (with no digit repeating twice) You…

A: given:- In a lottery, each ticket has 5 one-digit numbers 0-9 on it. There are 10 digits to be taken…

Q: t a certain company, passwords must be from 4-6 symbols long and composed from the 26 uppercase…

A:

Q: Suppose 4 letters from a sign reading "Montreal" fell on the street. A mathematician find the 4…

A: Given that there are 4 blank-spots and 4 letters.  We can place 4 letters in the 4 blank spots in…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.