Suppose you have a bag with ten balls in it, and each ball has a digit printed on it: 0,1,2,3,4,5,6,7,8,9. So there is one ball for each of the ten digits 0-9. a) Suppose instead you take a ball out, record its value, then return it into the bag, then repeat this process three total times. What is the probability that you will select the 5, the 0, and the 4, in that order? b) In part (a), what is the probability that your three selections consist of the number 4 twice, and the number 8 once, in any order?

Q: Assume that when adults with smartphones are randomly​ selected, 52​% use them in meetings or…

A: Given,n=5p=0.52Let X=no.of adults use their smartphonesin meetings or classes.X~Binomial(n=5 ,…

Q: A container contains 58 marbles of different colors, namely, 28blue, 16 red and 14 yellow marbles.…

A: Given that  58 marbles  28 blue marbles  16 red marbles  14 yellow marbles  3 marbles are drawn

Q: Suppose there are 8 fair coins and 12 unfair coins in a bag such that the unfair coins have a 75%…

A: Given information: Number of fair coins = 8 Number of unfair coins = 12 Total number of coins = 20…

Q: Suppose you have a bag with ten balls in it, and each ball has a digit printed on it:…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 37​% use them in meetings or…

A: We have given that,  Probability (p) = 37% = 0.37 . n = 9 . And x=2 .

Q: Assume that you have 4 red balls and 7 blue balls from which randomly to select two without…

A: Given that there are 4 red balls and 7 blue balls. The total number of balls is, 7+4 =11 (a) Compute…

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

A: Given Number of red balls=3 Number of green balls=2 Number of blue balls=1 N=total number of balls=6…

Q: Assume that when adults with smartphones are randomly​ selected, 49​% use them in meetings or…

A:

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

A:

Q: Suppose that n people, enumerated as 1, 2, · · · , n, sit randomly around a circular table. What is…

A: When no attention is given to the order of arrangement of selected objects, we get a combination.…

Q: Assume that when human resource managers are randomly selected, 64% say job applicants should follow…

A:

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

A:

Q: Consider a collection of 3 Red 3 Blue 1 Green 1 Yellow Envelope if 3 are selected at random without…

A: Given,   Number of Red = 3 Number of Blue = 3 Number of Green = 1 Number of Yellow = 1   Total = 8…

Q: Assume that when human resource managers are randomly selected, 47% say job applicants should follow…

A:

Q: Assume that 4 digits are selected at random from the set {1,2,3,5,8} and are arranged in random…

A: To compute the probability of the required event from the basic counting principles

Q: Assume that when adults with smartphones are randomly​ selected, 52​% use them in meetings or…

A: Given that adults with smartphones are randomly​ selected, 52​% use them in meetings or classes.…

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

A:

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

A: Given data, p=48%=0.48 n=7 P(X=4)=?

Q: Assume that a particular professional baseball team has 10 ​pitchers, 5 ​infielders, and 13 other…

A: The baseball team has 10 ​pitchers, 5 ​infielders, and 13 other players. Thus, total number of…

Q: 4) If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can…

A: Multiple of 2 numbers are ends with 0,2,4,6,8 Three digits number can't start with 0 The digits may…

Q: Assume that when adults with smartphones are randomly​ selected, 55​% use them in meetings or…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Assume that the human resource managers are randonm Selected 38% day job applicants should follow up…

A: Given,n=7p=0.38Let X=no.of job applicants should follow up working two weeksX~Binomial(n=7 ,…

Q: Assume two marbels are drawn without replacement from a box with 1 blue ,3 white, 2 green and 2 red…

A: The number of blue marble is 1. The number of white marble is 3. The number of green marble is 2.…

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

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Q: I randomly choose a subset 'S' out of a set of numbers {1,2,3...2n}. What is the probability that S…

A: Probability is a branch of mathematics or statistics which basically deals with calculating how…

Q: A team of 6 students from a pool of 10 students is being formed. Assume the students have different…

A: Formula : Binomial distribution is given by

Q: Let's assume that we randomly selected 3 people from a class that we know 40% are male . Among the…

A: a)Let X be the number of females in the class. Then, X follows binomial distribution and pdf…

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

A: A binomial experiment is a discrete probability experiment. To use the binomial model,…

Q: Assume that 4 digits are selected at a random from the set { 1,2,3,4} and are arranged in random…

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 meetings or…

A: Given data Probability that adult with smartphones will use them in meetings  = 0.47 Number of…

Q: A box contains 15 balls, of which 6 are yellow, 4 are white, and 5 are red. If three Q.6. balls are…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 58 ​% use them in meetings or…

A: Given that adults with smartphones are randomly​ selected, 58 ​% use them in meetings or classes.…

Q: Assume that when adults with smart phones are randomly selected 65% use them in meetings or classes.…

A: Obtain the probability that exactly 7 of them use their smart phones in meetings or classes.   The…

Q: According to the American College of Obstetricians and Gynecologists, 22% of all births in the U.S.…

A: It is given that the 22% of all births in the U.S. take place by Cesarean section i.e. the…

Q: What is the probability that the integer chosen is divisible by atleast one of the numbers 2,4,6,7?

A: Number of first 80000 positive integer divide by 2 = n(A) = 80000/2 =40000 Number of first 80000…

Q: Assume that 4 digits are selected at random from the set {1,2,5,6,7,8,9}{1,2,5,6,7,8,9} and are…

A:

Q: a) Three marbles are drawn successively from a box containing 8 blue marbles, 7 red marbles and 3…

A:

Q: at in five tosses of a fair die, a 3 will appear at least

A: a) Given: n = 5 The sample space of a die is 1,2, 3, 4, 5, 6 i.e. there are 6 total outcomes.    p =…

Q: Assume that when adults with smartphones are randomly​ selected 36% use them in meetings or classes.…

A: Probability that adults use smart phones in meeting or classes (p) = 36% = 0.36 Number of adults…

Q: Assume that when adults with smartphones are randomly​ selected, 56% use them in a meeting or…

A: Answer - Assume that when adults with smartphones are randomly​ selected, 56%   use them…

Q: Suppose you have a bag with ten balls in it, and each ball has a digit printed on it:…

A: Note: Hey there! Thank you for the question. As you have posted a question with multiple sub-parts,…

Q: Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes.…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 57​% use them in meetings or…

A: Probability that adults use their smartphones in meetings or classes is , p = 57% = 0.57 Sample…

Q: Assume that a bag contains 5 black, balls. 2 balis are drawn randomly one after another to hote…

A:

Q: Assume that when adults with smartphones are randomly selected, 62% use them in meetings or classes.…

A: The formula for binomial distribution is nxpx(1-p)n-x Given information is: p=0.62 n=5 x=3

Q: Determines the number of subsets of any size in a set of 25 elements From the subsets of the…

A: Total number of elements = n = 25 Hence, The number of subsets of any size = 2n = 225 = 33554432

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 , 61% use them in meetings or…

A: From the given information, The percentage of smartphones in meetings or classes is 61% and there…

Q: Assume that when human resource managers are randomly​ selected, 38% say job applicants should…

A:

Q: Assume that when adults with smartphones are randomly selected, 36% use them in meetings or classes.…

A: The probability that exactly 5 of them use their smartphones in meetings or classes is obtained…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.