A box contains 7 white balls, 9 black balls, and 2 red balls. a) How many red balls must be added to the box so that the probability of drawing a red ball is b) How many black balls must be added to the original box so that the probability of drawing a white ballis

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

A: Given, p=0.59 and n=11 Let X be the random number which denotes the number of adults using…

Q: Assume that when adults with smartphones are randomly​ selected, 54​% use them in meetings or…

A: Given,n=8p=0.54X~binomial(n=8 , p=0.54)P(X=x)=cxn px (1-p)n-x ; x=0,1,2,3......n

Q: A coin is loaded so that the probability of a head occurring on a single toss is 23. In four tosses…

A: here we will use Binomial distribution   A binomial distribution is simply the probability of a…

Q: In a family with 7​children, excluding multiple​ births, what is the probability of having7 ​girls?…

A: total no.of possible outcomes of a family having a 7 children iss=27s=128

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

A: Lets use binomial distribution to find the probability probability of success (getting a tail) p=…

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

A: Consider X be a random variable which follows binomial distribution indicates the smartphone users…

Q: Determine the probability of drawing 5 black cards in a row (with replacement) from a standard deck.

A:

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

A: It is given that n is 12 and p is 0.59.

Q: On a roulette wheel there are 38 sectors, Of these sectors, 18 are red, 18 are black, and 2 are…

A:

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: From a coin box containing 4 dimes and 2 nickels, 3 coins are selected at random with replacement…

A: We have to answer basic questions on coins.

Q: Compute the probability of randomly drawing five cards from a deck and getting 3 Aces and 2 Kings

A: The number of cards in a deck of cards is 52.

Q: Supty has a set of three special coins. For the first, second and third coin, probability of getting…

A: Given, Supty has a set of three special coins. For the first, second and third coin, probability of…

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: There are 90 drill bits in a box at a machine shop. Fifty of the drill bits are 3/8-inch diameter,…

A:

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

A:

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

A: Given that  The smart phones are randomly selected. Adults Use them in meetings or classes = 46%…

Q: Find the probability of drawing 4 aces at random from a deck of 52 ordinary cards if the cards are…

A: here total cards in deck = 52

Q: Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes.…

A: Given,n=6p=0.54q=1-p=1-0.54=0.46X=No.of adults use their smartphones in meetingsor…

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

A: The binomial distribution function is: PX=x=Cxnpx1-pn-xwhere,n=number of trials,x=number of success,…

Q: Find the probability of obtaining 3 kings in 5 draws from a pack of cards.

A:

Q: Suppose that a department contains 8 men and 12 women. A committee with six members is to be formed,…

A:

Q: Suppose a box consists of 4 white, 3 blue and 3 green marbles. (a) How many ways can you pick 4…

A:

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

A:

Q: Compute the probability of randomly drawing 8 cards from a deck and getting exactly 6 spades.

A:

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

A: TO work out the required probability , using counting principles

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: a bag contains 6 red marbles , 5 yellow marbles and 7 green marbles , how many additional red…

A: Finding the number of additional red marbles added:Let x be the required number of additional red…

Q: Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in…

A: We have given that 8 cards, of which 4 are Red, 2 are Green and 2 are Blue, are placed at random in…

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

A:

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

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

Q: Assume that when adults with smartphones are randomly​ selected, 39​% use them in meetings or…

A: Define the random variable x as the number of adults using smartphones in meetings or classes. Here,…

Q: selected

A:

Q: There are 15 red, 15 blue, and 15 yellow marbles in a bag. What is the probability of drawing 2…

A: Given that a bag contain 15 red, 15 blue, 15 yellow marbles. Total marbles in a bag= 15 red +15 blue…

Q: In a box, there are 5 red balls and 5 black balls. If 7 balls are selected randomly and with…

A: Given that there are 5 red balls and 5 black balls.  So there are (5+5)=10 balls   Given that we are…

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

A:

Q: What is the probability of getting exactly four 2s in casting a die 7 times?

A:

Q: A judging panel of 7 people is to be randomly selected from 8 teachers and 10 students. What is the…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 64​% use them in meetings or…

A:

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: 8 coins are thrown simultaneously. Show that the probability of obtaining at least 6 heads is…

A:

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: The mathematics faculty at a college consists of 7 ​professors,11associate​ professors, 4 assistant​…

A: Probability: Probability of an event is the number of outcomes favourable to the event, divided by…

Q: A deck consist of 3 jacks, 3 queens, and 3 kingsof different suit. what is the probability of…

A: Given information: A deck consist of 3 jacks, 3 queens, and 3 kings of different suit.

Q: 8. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35…

A:

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.