A pair of dice is rolled. Find the probability of rolling   ​a) a sum not more than 6​, ​b) a sum not less than 6​, ​c) a sum between 6 and 10 ​(exclusive).

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Q: The lengths of the plates produced by a cardboard plate manufacturer company are between 260 and 402…

A: Let X be the lengths of the plates produced by a cardboard plate manufacturer company are between…

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Q: 16. The probability that a person owns a car is 0.85, that a person owns a laptop is 0.45, and that…

A: Let ,L=a person own a laptopC=a person own a carP(L)=0.45P(C)=0.85P(C∩L)=0.35

Q: A pair of dice is rolled 180 times. What is the probability that: a. A total of 7 occurs at least…

A: Prof. A. M. Goon said "Binomial Distribution: If we have n trials and each having two outcomes -…

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Q: Assume that when adults with smartphones are randomly​ selected, 61​%use them in meetings or…

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A: Given data: The given numbers of digits are D=4. The given numbers of letters are L=4. The…

Q: An urn contains n white balls, m black balls and I red balls, which are drawn at random one at a…

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Q: Assume that when adults with smartphones are randomly​ selected, 45​% use them in meetings or…

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Q: If a letter is chosen at random from the English alphabet, find the probability that the letter (a)…

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Q: A coin is weighted so that the probability of obtaining a head in a single toss is 0.4. If the coin…

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Q: Determine the number of times a fair coin must be tossed so that the probability of the ratio of the…

A: Let us denote the number of tails as X and the total number of tosses is n. p^=x/n When fair coin…

Q: 1 The probability of solving the specific problem independently by the persons' A and B are 1 and…

A: Given that probabiy of solving the specific problem independent by the person A and B are 1/2 and…

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A: Let p = probability of success, implies p = probability individual uses smartphone in meetings or…

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Q: Two dice are rolled. What is the probability that the sum of the dice is larger than 8, given that…

A: Two dice are rolled, The sample space for the sum of the numbers showing up on the two dice is…

Q: The probability that an individual commutes to work by car is 0.9. What is the probability that ten…

A: Given data: The given probability that individual commutes to work by car is p=0.9. The total…

Q: Assume that when adults with smartphones are randomly​ selected, 61​% use them in meetings or…

A: Given Assume that when adults with smartphones are randomly​ selected, 61​% use them in meetings or…

Q: A pair of dice is rolled. Find the probability of rolling   ​a) a sum not more than 7​, ​b) a sum…

A:

Q: Suppose that a family has 3 children.​ Also, suppose that the probability of having a girl is 1/2.…

A: From the given information, n=3, probability of having a girl p=12=0.5, p+q=1 q=1-p=1-0.5=0.5

Q: Suppose that the probability that Bob eats an apple at lunch is 8%.  Also, suppose that the…

A: Given Information: Probability that Bob eats an apple at lunch is 8% i.e., PApple=0.08 Probability…

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Q: Assume that one number from 1 to 7 is equally likely to be selected at random.Each number…

A: Given data

Q: Determine the probability of obtaining an odd number on both the spinner and the die in fraction…

A: As per given by the question, There are given that 8 section numbered spinner and and 12 sided die.…

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A: The set of the digits from which the digits are selected randomly and arranged in random order is

Q: Assume that when adults with smartphones are randomly selected, 47% use them in a meeting or…

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Q: ach individual letter of the word TENNESSEE is placed on a piece of paper and all 9 pieces of paper…

A: Given letter is  : TENNESSEE Which contain nine letters we have formula for Probability=Possible…

Q: a) The probability of rolling a sum not more than 7 is (Type an integer or a simplified fraction.)

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Q: Assume that when adults with smartphones are randomly​ selected, 48​% use them in meetings or…

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Q: right triangle has sides of lengths 6, 8, and 10. What is the probability of the randomly chosen…

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Q: Assume that a machine produces 2% defective items. A random sample of 25 items is chosen. (i) Find…

A: Given Data: The number of items in the sample is: n=25 The probability of defective items is:…

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Q: Find the probability that he will be selected in at least one of the firms.

A: Given that, A person applies for the post of manger in two firms X and Y. He estimates that the…

Q: Assume that when adults with smartphones are randomly​ selected, 43​% use them in meetings or…

A: Solution: Let X be the random variable that  adults uses smartphones in meetings or classes. The…

Q: . The probability of winning a game in a casino is 0.4. A player plays 5 games in a row and each…

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Q: Suppose that the probability that Bob eats an apple at lunch is 32%.  Also, suppose that the…

A: The probability that Bob eats an apple at lunch is 32%. The probability that Bob eats a pear at…

Q: Assume that when adults with smartphones are randomly​ selected, 46​% use them in meetings or…

A: Let "X" be the adults who use their smartphones in meetings or classes.

Q: Assume that when adults with smartphones are randomly​ selected,45 ​% use them in meetings or…

A: We have given that the random variable X i.e. smartphone follows a Binomial distribution with…

Q: ind the probability that when a couple has five ​children, at least one of them is a girl. ​(Assume…

A: Given that  A couple has 5 children's. Probability of a girl and a boy is equal . P(BOY) = P(GIRL) =…

Q: If we roll a 6 sided die calculate p(rolling 4) in probability an even is any particular outcome or…

A: If a die is tossed, then the outcome will be, {1, 2, 3, 4, 5, 6}.

Q: A ball is chosen at random out of a bowl that contains 3 red balls, 2 green balls, and 1 blue ball,…

A: There are 3 red balls, 2 green balls and 1 blue ball.

Q: The probability of Pakistan to win a KABBADI match against India is 0.9117. Both teams played a…

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Q: Assume that 2 digits are selected at random from the set {3,4,6,7,8,9}{3,4,6,7,8,9} and are arranged…

A: Assume that 2 digits are selected at random from the set {3,4,6,7,8,9} and are arranged in random…

Q: Assume that when adults with smartphones are randomly​ selected, 47​% use them in meetings or…

A: The given context follows binomial distribution with n = 11 and p= 0.47. Consider X represents the…

Q: Find the probability that a randomly selected junior prefers meat toppings. In other words, find the…

A: The conditional probability of event A and B is, The value of probability is obtained by:

Q: Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes.…

A: Given that the adults with smartphones are randomly selected, 51% use them in meetings or classes.…

Q: Assumed a source produces only two digits ("1" and "0") with probabilities of 0.6 and 0.4,…

A: The sequence is of length 5, and "0" and "1" can appear at any place with equal probability of 0.4…

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.