5. Coin toss a) If 3 distinguishable coins are tossed, what is the probability that you will get 2 heads? b) IfS indistinguishable coins are tossed what the probability of getting 4 tails

Q: 1. In our class we have 10 MIS students, 5 CS students, and 4 Business students. I selected 4 people…

A: It is given that  MIS students = 10 CS students = 5 Business students = 4 Total students = 19

Q: The deck for a card game contains 30 cards. 10 are red, 10 are yellow, 5 are blue, 1 green, and 4…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: An urn contains 4 red and 5 white balls. Two balls are drawn in succession without replacement. If…

A: Given data: The numbers of red balls are r=4. The numbers of white balls are w=5. The expression for…

Q: 10. When drawing one card out of a deck of 52 playing cards, what is the probability of getting…

A: Here define events  A = face card B = heart card  There are total 13 cards of hearts  Total face…

Q: An urn contains 5 red and 3 white balls. Two balls are drawn in succession without replacement. If…

A: Given:-   red balls =5 white balls =3 total balls =3+5 =8 Two balls are drawn without replacement.…

Q: 3. Suppose you are dealt thirteen cards without replacement from an ordinary deck of cards. What is…

A: There are 13 denominations in a deck of cards. A, 2, 3, ...., 10, J, K, Q. Each denomination has 4…

Q: 10.(-is) Five people are in an endurance race. Suppose you randomly pick and bet on two of them.…

A: According to the classical definition of probability, the probability of an event is the ratio of…

Q: 2. There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third…

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Q: . 3 A bouquet of 6 flowers is made up by randomly choosing between roses and carnations. What is the…

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Q: b) A bag contains 30 balls numbered from 1 to 30. One ball is drawn at random, what is the…

A: Let A and B two events with Sample space (s) = (1,2,3,4,5,6,7,........, 30)  Multiple of 3 (A) = (…

Q: 2. A box contains 4 red and 5 green balls. Two balls are selected at random and discarded without…

A: Number of red balls: 4 Number of green balls: 5 Let GG, RG and RR be the events that the discarded…

Q: 16. If a fair coin is tossed repeatedly, what is the probability that the third head occurs on the…

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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: 3) A bag contains 14 red marbles, 15 orange marbles, and 16 yellow marbles. Suppose 10 marbles are…

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Q: A fair coin is flipped 8 times, what is the probability that the coin does not turn up heads two…

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Q: 2. Suppose that 5 percent of men and 0.25 percent of women are color-blind. A color-blind person is…

A: Probability is the chance of occurrence of observation can involve in the sample or event with equal…

Q: Four cards are to be dealt successively at random and without replacement from an ordinary deck of…

A: Deck of card consists of 13 Spade cards. 13 diamond cards. 13 Club cards. 13 Heart cards.…

Q: "23. A bag contains 8 white and 4 red balls. Five balls are drawn at random. What is the probability…

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Q: 9. From a pack of 52 playing cards, three cards are drawn one after the other without replacement.…

A: In a pack of 52 cards,no.of Ace cards=4no.of king cards=4n0.0f jack cards=4

Q: 1) Suppose that a bag contains one white chip and two red chips. Two chips are going to be selected…

A: The total number of chips in the bag is 3. The number of white chips is 1.

Q: 1. Suppose a box contains five white and seven red balls. Two balls are drawn at random from the box…

A: Given, that the box contains 5 white and 7 red balls. a, If two balls are drawn from the box, one by…

Q: 2. If a fair die is rolled, what is the probability of getting: a. an odd number or a multiple of 4?…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. What is the probability that a person chosen at random from the population reads the Maxzeitung?…

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Q: 7) A jar contains 7 red marbles, 7 yellow marbles, 4 green marbles, and 3 blue marbles. a) If…

A: Number of red marbles (r) = 7 Number of yellow marbles (y) = 7 Number of green marbles (g) = 4…

Q: 4) An unfair coin, when tossed 7 times, has the same probability of obtaining 2 heads out of 7 as it…

A: Let us assumep=the probability that the coin lands on headn=sample size=7 X=the number of headsX…

Q: 4. A pair of dice is rolled. What is the probability that the sum of the numbers rolled is a cube?…

A: 4. When a pair is of dice is rolled, the possible outcomes are  Thus, the total number of possible…

Q: 6-) If three balls are randomly drawn from a bow containing (6) white and (5) black balls, what is…

A: Number of white balls are 6 and number of black balls are 5, so total number of balls are 6+5=11. 3…

Q: a)what is the probability of only 1 time coming 6 ? b)What is the probability of coming 6 at least 1…

A: Given:  fair dice is tossed 10 times. c)what is the probability of getting 6 on the last shot ?

Q: 14) Suppose that an honest coin is tossed ten times. What is the probability that it will come up…

A: Let p be the probability of getting head  n be the number of coin tossed  X be the number of getting…

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: 1. Obtain the probability of adding up six points if we toss three distinct dice.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 6 What is the probability of drawing 3 white and 4 green balls from a bag that contains 5 white and…

A: ANSWER: From the given data,

Q: 14) A fair coin is flipped twelve times. What is the probability of the coin landing heads up…

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Q: An urn contains 5 red and 7 white balls. Two balls are drawn in succession without replacement. If…

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Q: 4. Ten books, consisting of 5 mathematics books, 3 physics books, and 2 chemistry books, are…

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Q: If an urn has five white balls and 10 red balls what is the probability that five randomly selected…

A: Given that an urn has 5 white balls and 10 red balls. Total number of balls is 5+10=15 Number of…

Q: 14) Suppose that an honest coin is tossed ten times. What is the probability that it will come up…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. The probability that house in an urban area will be burglarized is 8.5%. If 45 houses are…

A: Note: Hi! Thank you for the question. As you have posted independent questions, according to our…

Q: 1. The probability that an albino rat will survive a medical experiment is 0.40.  If ten animals are…

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Q: If two gloves are selected at random from the box, with replacement, what is the probability that a…

A: Simple random sampling (SRS) is a method of selection of a sample comprising of n number ofsampling…

Q: 9.1% of 16-17-year-olds drop out of high school. In addition, 5.8% of White 16-17 year-olds drop out…

A:

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: 2. A fair six-sided die is tossed twice. What is the probability that a five will

A: From the given information, a dice rolled twice. The total sample space is, The size of the sample…

Q: 8. A stick is broken at two random places. What is the probability that the three resulting pieces…

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Q: 5) Suppose Marry gets a strike when bowling 70% of the time. a) What is the probability that Marry…

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Q: 4 cards are drawn from an ordinary deck of cards with replacement. what is the probability that an…

A: As 4 cards are drawn from an ordinary deck of cards with replacement. There are total 52 cards in a…

Q: 8. A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability…

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Q: 5) Suppose that 14% of people are left handed. If 9 people are selected at random, what is the…

A: Givenp=0.14n=9x~Binomial(n=9,p=0.14)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,..,n

Q: 9. What is the probability that a randomly selected elephant will weight at least 8.56 tons? % o.…

A: given that The average weight of an elephant is 6.42 tons with a standard deviation of 1.07 tons

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.