3.From twelve tickets numbered from 1 through 12, two tickets are drawn, one after the other, without replacement. What is the probability that (a).both numbers are even? (b). both numbers are odd? (c).the first number is even and the second number is odd?

Q: Ten cards numbered 1 to 10 are placed in a box,mixed up thoroughly and then one card is drawn…

A:

Q: Suppose that three jars contain colored balls as described in the table below. Red White Blue Jar 1…

A:

Q: 2. The weather in a given area is observed for 5 days. If the occurrences of rain each day are…

A: Given,n=5p=0.4q=1-p=1-0.4=0.6X=no.of days have rain X~Binomial (n=5 , p=0.4)P(X=x)=cxn pxqn-x ;…

Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

A:

Q: 2. A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn randomly…

A: (2) Given Information: A deck of cards contains 20 cards: Red cards = 6 and Black cards = 14 5 cards…

Q: A deck of 15 cards has 5 green cards labeled 1 through 5,five blue cards labeled 1 through 5, and…

A: We have given that  Total cards=15 5 green cards labeled 1 to 5 5 blue cards labeled 1 to 5 5 red…

Q: (a) Suppose on an average 1 house in 1,000 in a certain district has a fire during a year. If there…

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Q: Twenty five slips of paper, numbered 1, 2, 3, . . . , 25, are placed in a box. If Amy draws six of…

A:

Q: Suppose 6 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A:

Q: If 63% of the people at a certain conference are doctors, 48% are women, and 39% are doctors, what…

A: The following information has been given: The probability that people at a certain conference are…

Q: 4. Goddard, the captain of West Indies team had made it a rule to call heads every time, the toss…

A:

Q: (d) If you create an ordered list of 4 cars completely at random (that is, any car is equally li be…

A: As per your Requirement  I  have calculated  D part only

Q: 28. If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that…

A: Given Total no.of cards in ordinary deck = 52No.of face cards = 12

Q: What is the approximate (to the nearest ) probability that a five-card poker hand contains a pair…

A: Five card poker hand contains One pair of two a kind Single card Another pair of two a kind…

Q: 2. A professor posts the grades for a class using the last four digits of the Social Security number…

A: Here Given Professor posts the grades for class using the last 4 digits of social security Number of…

Q: 2. According to the Commerce Department in the Fall of 2014, 60% ofU.S. households had some form of…

A: (a)   Obtain the probability that exactly 15 of these had a high-speed internet connection.   The…

Q: 1. Suppose your vehicle is licensed in a state that issues license plates that consist of three…

A: Number of digits (0 to 9) = 10 Number of letters (A to Z) = 26 Number of plates the person(you) can…

Q: Suppose 38% of the teachers at a high school are male teachers. What is the probability that of your…

A: Let x follows binomial distribution with parameters n = 6 and p = 0.38   The pdf of binomial…

Q: Of 100 students, 50 are taking Calculus, 43 are taking French, and 10 are taking both Calculus and…

A:

Q: n a certain community, 25% of the families own a dog, and 20% of the families that own a dog also…

A: Given 25% of the families owns a dog 20% of the families that owns a dog also owns a cat 25% of all…

Q: . If boys and girls are equally likely to be born, what is the probability that in a randomly…

A: From the given information we want to find the probability for given event .

Q: 2) You are dealt 4 cards from a 52 card deck (without replacement). What is the probability that at…

A: Given: Number of cards dealing with = 4 Total number of cards = 52 Total number of clubs = 13

Q: According to ctia, 41% of all US households are wireless-only households. In a random of 20…

A: Given, random of 20 households i.e., n=20 p=41%=0.41 q=1-p=1-0.41=0.59

Q: Given a class of 12 girls and 10 boys please answer these questions containing to these questions…

A: There are 22 students in a class out of which 12 are girls and 10 are boys.

Q: r or every 10 car accidents that happen in the Winter, 8 happen on snowy days and 2 happen on…

A:

Q: Suppose 8 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A: Solution: a. An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are…

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A: a) In a deck of 52 playing cards, there are 3 face cards ( King, Queen and Jack ) in each of the 4…

Q: (a) What is the probability that the number of drivers will be at most 14? (b) What is the…

A: According to the answering guidelines, we can answer only three subparts of the question and the…

Q: 4. Consider a box with 10 balls and 5 sticks. Draw seven times from the box, with replacement. Draws…

A: There are 10 balls and 5 sticks in the box, total 10+5 = 15 items. Out of 15 items 10 are balls.…

Q: For a certain​ candy, 1010​% of the pieces are​ yellow, 2020​% are​ red, 55​% are​ blue, 1515​% are​…

A: Given Information- Percentage of Yellow candy = 10% Percentage of Red candy = 20% Percentage of Blue…

Q: If 35% of cows in a herd have Mad Cow disease, and a rancher randomly selects 7 cows, what is the…

A:

Q: 15 Suppose we draw two cards from a shuffled set of 52 playing cards. What is the probability that…

A: Suppose we draw two cards from a shuffled set of 52 playing cards. We know that, the number of queen…

Q: 3. A traffic control engineer reports that 75% of the vehicles passing through a checkpoint are from…

A: 3)  -probablity is 3/7

Q: What is the probability that either exactly two heads or exactly two tails will be thrown if six…

A:

Q: 1) A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up…

A: Binomial distribution:  Let p = probability of success on a single trial and n= number of trials.…

Q: a. What is the probability that 15 or more of these consumers have called an 800 or 900 telephone…

A: The proportion of consumers who have called an 800 or 900 telephone number for information about…

Q: Among 500 freshmen pursuing a business degree at a university, 320 are enrolled in an Economics…

A: Probability of an event:The formula for probability of an event is as follows.

Q: At a certain university, 4% of men are over six feet tall and 1% of women are over 6 feet tall.…

A: Given: Let M denote Men W denote women O denotes over 6 ft tall. P (M) = 0.60 P (W) = 0.40 P (O | M)…

Q: A box containing 50 wooden balls numbered 1 through 50. If one ball is drawn at  random from the…

A: Given problem Given that   A box containing 50 wooden balls numbered 1 through 50. If one ball is…

Q: 8. Seven new employees, two of whom are married to each other, are to be assigned seven desks that…

A:

Q: There are five red chips and three blue chips in a bowl. The red chipsare numbered 1, 2, 3, 4, 5,…

A: Given: Number of red chips = 5 (1,2,3,4,5) Number of blue chips = 3 (1,2,3) Number of chips drawn  =…

Q: 4) The probability to select a man in a group of 20 people is 25%. You want to form a committee of…

A: Let X represent the number of man in committee n=5 p=0.25   X~ Binomial (5, 0.25)

Q: From an ordinary pack of cards numbered from 1 to 20, a card is drawn at random. What is the…

A: Given that An ordinary pack of card numbers from (1 to 20 Sample space=S=(1,2,3,______,18,19,20)…

Q: What is the probability that a five-card poker hand contains at least one ace? A standard deck…

A:

Q: a. What is the probability that 2 of the chosen balls are red? b. If it is known that the 2nd ball…

A:

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards. ​(a) What is the probability…

A: An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are non-face cards. 7…

Q: 2. Suppose you are at a birthday party with n other people. How large must n be to ensure that the…

A: In year, we have 365 days. Answer can be given using basic concept of probability.

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given:  8 freshmen, 5 sophomores, 4 juniors, and 2 seniors Total = 8+5+4+2 = 19

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.