In a class of 150 incoming freshmen nursing students, 65 are taking Mathematics, 70 are taking Biology, 60 are taking English, 45 are taking both Mathematics and Biology, 35 are taking both Mathematics and English, 25 are taking both Biology and English, and 20 of them are taking all three subjects. What is the probability that: (a) the student takes Mathematics only, (b) the student takes Biology only, (c) the student takes English only, (d) the student takes Mathematics or

Q: At a certain​ hospital, 24 patients have lung​ cancer, 15 patients​ smoke, and 12 have lung cancer…

A: Given that : Suppose the hospital contains 120 patients. At a certain​ hospital, 24 patients have…

Q: In a mathematics class of forty students, twenty- three are also taking chemistry, twenty are taking…

A: Given: Total students= 40 Students who have chosen chemistry = 23 Students in physics = 20 Students…

Q: A bag has three red marbles and five blue marbles. Two marbles are randomly selected one by one.…

A: Given that there are 3 red and 5 blue marbles. So total (3+5)=8 marbles. We can pick any 2 marbles…

Q: minar, 15 students are in grade 7, 10 are in grade 8, 20 are in grade 9, and 30 are in grade 10. If…

A: To find: The probability of selecting a grade 10 student.

Q: A 5 card hand is dealt from a standard 52-card deck. Then the cards are replaced, the deck is…

A:

Q: What is the probability that a green ball is selected from the first box?

A: Here use tree diagram

Q: We have 10 lottery tickets of which 2 are winning ones. What is the probability that randomly…

A: Given that Total tickets=10, Winning ticket=2,  Randomly selected 5 lottery tickets. Note:…

Q: Three students from a 13 student class will be selected to attend a meeting. 9 of the students are…

A:

Q: What is the probability that one is dealt a full house?

A: A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination…

Q: The entire deck of 52 cards is dealt out to 4 players (the 1st player, 2nd player, 3rd player and…

A: Given information: The entire deck of 52 cards is dealt out to 4 players (the 1st player, 2nd…

Q: ollege soccer team has 15 players; 7 are seniors, 6 are juniors, and 2 are sophomores. Two players…

A: We have given,  15 player are there. 7 are senior's  6 are junior's 2 are sophomores.

Q: Three students bring identical umbrellas to class and leave them in a pile by the door.  When they…

A: Consider X be a random variable which follows binomial distribution indicates the number of…

Q: An institute wants to appoint 6 lecturers. There are 40 applicants of which 25 are men and 15 are…

A: Given   40 application=25(men)+15(women)  Farmula used  nCr=n!/[r!(n-r)!]

Q: In a certain Soccer League, there are 23 boys from Orange County Soccer Club, 13 girls from Orange…

A:

Q: Two cards are drawn one after the other from a pack of 52 cards. What is the probability that they…

A: GivenTotal no.of cards in a deck = 52No.of Ace cards in a deck = 4No.of Queen cards in deck = 4

Q: A box contains ten white and three black balls while another box contains three white and five black…

A:

Q: bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. (a)…

A:

Q: You go to a party which has1000 guests (including you). What is the probability that at least two…

A: Party which has 1000 guests (including you). Therefore, n=999. Let X denotes the guests have the…

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: if you randomly choose one bean, do NOT replace it, and randomly choose another, what is the…

A: Given: 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange  Without Replacement we…

Q: A bag contains seven black marbles, twenty-five white marbles, and three grey marbles. You pick one…

A: There are total 35 marbles. The probability that the marble will be white is 25 / 35. The…

Q: a box contains five red balls, six green balls, and two white balls. Three white balls are drawn,…

A: Probability is a branch of mathematics that deals with quantifying uncertainty and measuring the…

Q: In a country, 75% of the graduates are citizens,60% of the citizens graduates are employed while…

A: Given , 75 percent of the graduates are citizens ... Among them 60 percent of citizens are employed…

Q: In a group of 35 Virginia residents, 28 Maryland residents, and 23 Delaware residents, two people…

A: In a group;total residents = 35+28+23 = 86 35 Virginia residents, 28 Maryland residents, and 23…

Q: Every student in an international school takes at least one of three foreign language classes.…

A: Given Information: 29 students take French. 40 students take German. 31 students take Chinese. 18…

Q: class contains 30 students, Ten are Female (F) and Caviteno (C), 12 are male (M) and Caviteno; 6 are…

A: F denote Female M denote Male C denote Caviteno Total number of students = 30…

Q: Three students for my 15 student class will be selected to attend a meeting. Six of the students are…

A:

Q: Four cards are drawn from a pack of cards. Find the probability that (1) all are diamonds, (ii)…

A:

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.