Determines the number of subsets of any size in a set of 25 elements From the subsets of the previous part, one is going to be selected at random, what is the probability that it has 2 elements?

Q: A woman has 10 pairs of shoes in disarray and on an untimely trip she randomly chooses 12 shoes.…

A: Given: Total = 20 n = 12

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: In a supermarket there are 180 customers, 145 of whom will buy at least 1 item. If 4 customers are…

A: We have to find given probability.

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: In a box of 20 light bulbs, 4 are known to be defective. If 3 bulbs are selected at random, find the…

A: Given that : N = 20 Defective bulb = 4 Sample size (n) = 3 Find p ( x ≥1) = ??  By using binomial…

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: Be a batch of 20 defective and 80 non-defective items, of which 2 are chosen without replacement.…

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Q: There are 66 bulbs in a house out of which 13 are defective. If 22 bulbs are picked at random, find…

A: Given that  Total bulbs=66 Defective bulbs=13 Not Defective bulbs=53 22 bulbs are selected at random…

Q: The desks in a classroom are organised into 4 rows of 4 columns. Each day the teacher randomly…

A: Given that there are 4 rows.  So the probability of first row= 1/4   Let, X=the number of times I am…

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: A box contains 5 black balls and 10 red balls from which 3 balls were drawn with repetition, what is…

A:

Q: A committee of 3 people is selected at random from 5 men and 5 women. What is the probability that…

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: Three balls are selected at random from a bag containing 2 red, 4 orange and 3 green balls. What is…

A: Given,no.of red balls=2no.of orange balls=4no.of green balls=3Total no.of balls=9

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

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Q: Suppose that 20% of all voters prefer Candidate A. If 4 people are chosen at random for a poll, what…

A: Given: 20% of all voters prefer candidate A that is p = 0.20 Sample size (n) = 4

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: A box contains 10 red and 8 white marbles. If 8 marbles are to be chosen at random without…

A: Solution

Q: A bowl contains 10 chips numbered 1, 2, . . . , 10, respectively. Five chips aredrawn at random, one…

A: Given: A bowl contains 10 chips numbered 1, 2, . . . , 10. So the number of chips, N=10. Five chips…

Q: If 10 cards are to be chosen at random (without replacement) from an ordinary deck of 52 cards, find…

A:

Q: Consider a collection of envelopes consisting of 1 red envelope​,2 blue envelopes​,3 green…

A: Probability of an event=( number of favourable events)/(total number of events)

Q: A fishbowl contains 3 green balls, 2 blue balls, and 4 red balls. In a random sample of 5 balls,…

A: Given information: Total number of green balls in fishbowl(G) =3. Total number of blue balls in…

Q: A bag contains 10 white, 6 red, 4 black and 7 blue balls. Sballs are drawn at random. What is the…

A:

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A: Farmula used  nCr=n!/(r!(n-r)!)  r!=r(r-1)(r-2)x....x3x2x1

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: In a box of 30 chocolates, there are 5 chocolate covered cherries, 10 are filled with caramel, 15…

A: Since I eat the first piece, so this problem is using without replacement.  I can pick any 2 pieces…

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: A group of 30 people is selected at random. What is the probability that at least 2 of them will…

A: Given : A group of 30 people is selected at random.   Question : What is the probability that at…

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: A bag contains total 30 balls out of which 9 are red, 12 are white and 9 are blue. Two balls are…

A: Let us first find probability that the first ball is red. For that we will need the following.Since,…

Q: An urn contains 5 green balls, 2 blue balls, and 2 red balls. In a random sample of 5 balls, find…

A: Number of green balls is 5. Number of blue ball is 2. Number of red ball is 2.

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: Find the probability of throwing a sum of 12 at least 6 times in 12 throws of a pair of fair dice.

A: We know that, There are 36 outcomes for throwing a pair of dice ; 1 of these has a sum of 12 ( 6,6…

Q: Suppose there are 87 red balls and 86 yellow balls in a box. Two balls are drawn from the box…

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

Q: Assume that you have 8 red balls and 6 blue balls from which randomly to select two without…

A: According to the provided data, there are 8 red balls and 6 blue balls making a total of 14 balls…

Q: On average, 12 balls enters the room every minute. What is the probability that the 4th ball seconds…

A: Poisson distribution: A random variable X is said to have a Poisson distribution with a parameter λ…

Q: Suppose that the Student Representative Council (SRC) consists of 23 people (9 men and 14 women).…

A: The student representative council (SRC) consists of 23 people (9 men and 14 women). From this…

Q: What is the probability that the 3 CDs are 2 jazz and 1 classical?

A: Three CDs are drawn randomly in succession without replacement . In  collection consisting of 5…

Q: Suppose that 45% of all voters prefer Candidate A. If 9 people are chosen at random for a poll, what…

A: Let "X" be the voters who prefer candidate A. I will use excel formula "=BINOM.DIST(x, n, p,…

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A:

Q: An urn contains 3 green balls, 2 blue balls, and 4 red balls. In a random sample of 5 balls, find…

A:

Q: Two balls are selected at random from an urn that contains six black balls and six red balls. What…

A:

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

A: From the given information p = 0.51, x= 2 and n = 5. The probability mass function of the binomial…

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, 57​% use them in meetings or…

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

Q: A car rental agency has 99 midsized and 1111 compact cars on its​ lot, from which 66 will be…

A: It is provided that a car rental agency has 9 midsized and 11 compact cars.And each car is equally…

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:

Q: Suppose that 55% of all voters prefer Candidate A. If 4 people are chosen at random for a poll,…

A: