Given N different balls and M boxes, in how many different ways can the balls be placed in the boxes, if there is no restriction on box occupation? What is the number of arrangements having y balls in the jth box? What is the probability of this arrangement? Which statistics does this describe?

Q: 5. 362 households were surveyed. The findings are summarized in the following table. Have at least…

A: (a)   Obtain the probability that a randomly selected household has at least one maxed-out credit…

Q: Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the…

A: Random Variable: In probability theory, a random variable is a variable whose values depend on…

Q: An Environmental Impact Assessment committee of size 6 is to be selected at random from 2 civil…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: From a class of 20 boys and 15 girls, a committee of five students will be selected. What is the…

A: Given that  Total students=20+15=35 Boys=20 , Girls=15 5 students are selected  Find  P(Exactly 1…

Q: The sample space for this experiment is: GGGG GBGG BGGG BBGG GGGB GBGB BGGB BBGB GGBG GBBG BGBG BBBG…

A: Given data  Total outcomes in sample space = 16 We have to find p(4 girls) = ?   P(event) = no. Of…

Q: If a regulation basketball is randomly selected, what is the probability that it will weigh between…

A: Given Mean =22.0 Standard deviation =1

Q: O Find the probability that between 25% and 50% of the sample 100 CrossFitters has post- graduate…

A: Given information- Population proportion, p = 0.40 Sample size, n = 60 d) We have to find the…

Q: 1. In a 10-question, 5-answer multiple choice exam, a student who did not study decides to answer…

A: Probability is the chance of occurrence of observation can involve in the sample or event with equal…

Q: In a survey of 275 people, 258 expressed support for the governor. Find p and q, where p is the…

A: We have to find p and q.

Q: Given that a randomly chosen card from a standard deck of 52 cards is less than 7, what is the…

A: We have to find given probabaility.

Q: The table below show institutions of higher educations in Singapore by states and type.…

A: As per our company guidelines we can solve first three subpart of question and rest can be reposted.…

Q: In a survey of 188 people, the following data were obtained relating gender to political…

A:

Q: Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the…

A: Given: Sample size (n) = 20 The probability of weld failures in the weld metal itself (p) = 0.85 The…

Q: Use the method of your choice to determine the probability below. Randomly meeting either a man or a…

A:

Q: In grade level SChool of 220 Stclents 105 51uents are in arts, 200 StwentS lare on The SPorts team…

A:

Q: A six-sided number cube is rolled 350 times and the results are recorded as follows: 58 ones, 63…

A: According to the given information, we have A six sided number cube is rolled 350 times. 58 ones 63…

Q: The grade appeal process at a university requires that a jury be structured by selecting five…

A:

Q: A poll is given, showing 65% are in favor of a new bulding project. If 6 people are chosen at…

A: 1)Answer: Given that: p= 0.65 , n= 6 now will use Binomial probability…

Q: In tossing 5 fair coins, what is the expected number of heads? Let the random variable X represent…

A:

Q: what is the probability that at least one of the pair of fair dice lands on 5, given that the sum of…

A: Solution:Total number of outcomes possible when a die is thrown = 6,Hence, Total number of outcomes…

Q: An electronics parts company tests parts daily to see how many parts are faulty. Faulty Not faulty…

A: From the provided information,   Faulty Not faulty Total Day Shift 27 672 699…

Q: A spinner is split up into 4 colored areas of the same size: red, blue, green, and yellow. The…

A:

Q: In the experiment of flipping a coin four times, what is the probability of obtaining odd number of…

A: Let A and B be two events with P(A) > 0. Then the conditional probability of B given A, denoted…

Q: CONSIDER ROLLING 2 SIX SIDED DICE, DETERMINE THE FOLLOWING: 1. SAMPLE SPACE 2. THE PROBABILITY OF…

A: If  six sided die rolled two times then sample space (S) is,  S= {(1,1), (1,2),…

Q: What is the probability a randomly selected person is having brown eyes, given that he is a male Eye…

A:

Q: Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find…

A: Given,

Q: c) Find the probability that at least three defectives are found?

A: Here given ,  A manufacturing process that produces electron tubes is known to have a 10% defective…

Q: In a large corporation, 55% of the employees are male. A random sample of six employees is selected.…

A: The random variable X follows binomial distribution. The sample size is 6. The probability is 0.55.

Q: An unbalanced coin is spun 150 times, and lands heads-up 102 times. What is the observed probability…

A: An unbalanced coin is spun 150 times, and lands heads-up 102 times. n(s) = 150 n(a)= 102

Q: Of the last 230 new hires at a company, 220 had college degrees and 140 had prior experience. Only…

A:

Q: 4. What is the probability that in a family of 3 children, at least two are girls? 5. What is the…

A: The specified probability for a number of events, where a specific number of boys or girls occur in…

Q: Suppose that three microchips in a production run of forty are defective. A sample of five is to be…

A:

Q: A snack-size bag of M&Ms contains 12 red candies, 12 blue, 7 green, 13 brown, 3 orange and 10…

A: Given:A snack bag contains some candies.Number of Red candies = 12Number of blue candies = 12Number…

Q: In rolling a die, the probability of obtaining 2, 3, and 4 in three statistically independent throws…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: A wheel with nine different colors on it is spun numerous times, and the results are recorded below:…

A: Total number of times wheel has been spun =70+37+76+9+34+12+28+17+12=295 Therefore total number of…

Q: In a shipment of 25 hard disks, six are defective. If five of the disks are selected at random, what…

A: Given that, in a shipment  if 25 hard disk, 6 were defective. 5 disks are randomly selected .

Q: 1. Information was collected and summarized in the following table: Head injuries Not injured Wore…

A:

Q: A spinner is split up into 4 colored areas of the same size: red, blue, green, and yellow. The…

A:

Q: What is the probability that W is less than 5, that is, P(W < 5)?

A: Given that W = 15Y And b = 0.125

Q: In Norway, approximately 22% of vehicles are electric vehicles. Which is closest to the probability…

A:

Q: Suppose the let-turn lane is to have a capacity of six cars, and that one bus is equivalent to three…

A: The probability of an overflow during a cycle is,…

Q: About 8% of males are colorblind. A researcher needs three colorblind men for an experiment and…

A: Given that, Probability p= 8%= 0.08 Then q= 1-p= 1-0.08 = 0.92 We've to find P(X&gt;=3)  When n= 9…

Q: Given that a randomly chosen card from a standard deck of 52 cards is less than 7, what is the…

A:

Q: Given eight students, three of whom are female, if two students are selected at random, without…

A: Given information: Thee are 8 students. In 8 students, 3 are female and 5 are male. In the given…

Q: The results of a survey of 200 adults are shown in the table. 6' or over Under 6 Total Male 14 88…

A: According to the given information, we have   6' or over Under 6' Total Male 14 88 102 Female…

Q: The printing press summarizes the number of shirts that were printed showing the color and sizes.…

A:

Q: 2) Compute the probability of tossing a six-sided die and getting a 7.

A:

Q: Within the general population in the 21st century, the chances of having twins are about 3 in 100…

A: Given Information: Let A be the event of getting a couple with twin baby. Let B be the event getting…

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.