A box contains 8 white​ balls, 4 black​ balls, and 8 red balls.   ​a) How many red balls must be added to the box so that the probability of drawing a red ball is 7/8​? ​b) How many black balls must be added to the original box so that the probability of drawing a white ball is 1/8​?

Q: If 20% of the bolts produced by a machine are defective, determine the probability that out of 6…

A: Given: Sample size, n=6 Probability of defective bolt, p=0.20

Q: There are 9 black balls and 9 red balls in an urn. If 3 balls are drawn without replacement, what is…

A: It is given that Number of black balls = 9 Number of red balls = 9 Total = 18

Q: Suppose that a box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks.  Suppose that 6 are…

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Q: If three cards are randomly selected in a deck of 52 cards, what is the probability of selecting the…

A:

Q: s the probability of drawing a red numbered card from a standard deck of playing cards? There are 52…

A: there are 2 suit of red and 2 of black so red numbered cards = 1to 10 of heart or diomond

Q: A committee of three is to be chosen at random from a group of 7 employees consisting of 4 females…

A: The probability that committee will have at least one female =P(at least one female) =1-P(no female)…

Q: A coin is biased so that the probability of heads is 3/5. What is the probability that exactly four…

A: Given : Probability of getting heads is, p = 35 q = 1 - p q = 25 flips are independent. n = 9 x = 4…

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A: We have given that  P( Shanghai china) = P( A) = 0.65 P( Beijing china) = P( B ) = 0.32 P( Shanghai…

Q: Suppose that a box contains three equally sized balls numbered as 1,2 and 3. If two balls are drawn…

A: Given,  3 equally sized balls numbered as 1, 2 and 3.

Q: Suppose that 58% of customers at McDonald's order fries, and that 37% of customers are women. Also,…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: Assume that when adults with smartphones are randomly​ selected, 59​% use them in meetings or…

A:

Q: or this problem, assume that three students are chosen from 3 freshmen, 7 sophomores, and 5 juniors.…

A: GIVEN DATA : Number of Freshmen, Sophomores & juniors are 3,  7 & 5 respectively.        TO…

Q: Assume that the box contains 11 balls: 3 red, 3 green, and 5 blue. Two balls are drawn at random,…

A: There are total 11 balls, among which 3 are red, 3 green and 5 blue.

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: Suppose that 5 Black balls, 3 White ball and 2 Green balls are placed into a bag. Assume that the…

A:

Q: The probability that a biased coin comes up heads is 0.2. Let k be the number of flips that come up…

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Q: What is the probability of picking a black card or a jack if prior to selection all the black cards…

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Q: From a city population, the probability of selecting (i) a male or a smoker is 9/10, (ii) a male…

A:

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: its number is found divisible by 3. What is the probability that its number is also divisible by 5?

A: Here use basic probability  and Bayes rule

Q: What is the probability of obtaining exactly three tails in four flips of a coin, given that at…

A:

Q: In a bag, there are 9 gumballs, 15 chocolates, and 30 sour candies. Express the probability that the

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

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Q: Suppose there are 8 pieces in a box, of which 3 are defective and 5 are perfect. If 3 pieces are…

A:

Q: Suppose we want to form three-digit numbers using the set of digits [0,1,2,3,4,5). For example, 501…

A: a) Since 0 cannot be at first position, 2nd and 3rd position can take any number from the provided 6…

Q: a. Determine the probability of 3 people waiting in line at Food Truck Y and 2 people waiting in…

A: From the given information, The joint pmf table can be shown below:   Y=0 Y=1 Y=2 Y=3 P(X=x)…

Q: In Jamalpur District, 60% of children started primary school, 70% of the children who have completed…

A:

Q: Assume that there are 7 white mice and 5 black mice to choose from, and you randomly pick 4 mice.…

A: To work out the probability of the required event

Q: Assume that 6 women and 8 men work in a department at a large company, a committee of 5 people from…

A:

Q: A committee of 4 is to be chosen at random from a group of 4 men and 3 women What is the probability…

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Q: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be drawn…

A: Given data: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be…

Q: Suppose there are 4 red balls and 3 yellow balls in a box . 3 balls are drawn from the box without…

A:

Q: jar contains 20 identical ping-pong balls except that 4 are red, 5 are yellow, 4 are blue,  & 7 are…

A: Given, A jar contains 20 identical ping-pong balls except that 4 are red, 5 are yellow,…

Q: What is the maximum number of people in a gathering such that the probability of two people having…

A: Given, The probability of two people having the same birthday doesn’t exceed 60%.

Q: A card is drawn at random from a deck of 52 playing cards. What is the probability that it is an ace…

A: There are 4 ace cards and 12 face cards in a deck of 52 playing cards.

Q: ) If 4 distinct balls are placed at random into 4 boxes, find the probability that exactly one box…

A:

Q: A teacher will pick 1 student at random from 100 What is the probability of a student, Jo, of winnir

A: In this question, the concept of probability is applied. Probability The ratio of the number of…

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A: Given that a number divisible by 3 is rolled. Only 3 and 6 are divisible by 3 in 1-6. So we have to…

Q: Suppose that a district consists of 100 female voters and 200 male voters. If a group of ten voters…

A: Given problem Given that   Suppose that a district consists of 100 female voters and 200 male…

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 that there are 5 white marbles, 2 green marbles, 1 red marble are in the container. You are…

A: Given that  Number of white marbles = 5 Number of green marbles = 2 Number of red marbles = 1 Total…

Q: Assume that when adults with smartphones are randomly​ selected, 59​% use them in meetings or…

A: Given Data: Let X be the number of adults using smartphones  n=7 p=0.59   Therefore,  X ~…

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

A:

Q: Assume that you have 8 red balls and 10 blue balls from which randomly to select two without…

A: According to the given information:Number of red balls=8Number of blue balls=10Total balls=18Number…

Q: Suppose 30% of Americans are satisfied with the state of the U.S. In a sample of 20 Americans, what…

A:

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

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.