In a group of 8 people, what is the probability that they all have different birthdays? [Assume that each is equally likely to be born on any of the 365 days of the year, i.e. no one is born on Feb. 29 in a leap year.]

Q: 15% of the employees in a certain government organization have a postgraduate degree. If people are…

A: Given,p=0.15Let a random variable X~Geometric (p=0.15)P(X=x)=0.151-0.15x-1P(X=x)=0.150.85x-1  ;…

Q: How many people need to attend a party for there to be a > 80% probability that at least two of them…

A: Given information: The probability that at least two of the people share the same birthday is 0.8.

Q: Given that there is a 0.82 probability that a randomly selected adult knows what Twitter is. Find…

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Q: In a certain voting precinct, 81% of voters are registered democrats. what is the probability that,…

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Q: Based on a​ poll, 60​% of adults believe in reincarnation. Assume that 4 adults are randomly​…

A: Let x follows binomial distribution with parameters n = 4 and p = 0.60   The pdf of binomial…

Q: On average, an insurance company receives 6 claims between 14:00 and 16:00 on a particular day. What…

A: The probability density function of poisson distribution is given by

Q: A western city has 20 police officers eligible for promotion. Eleven of the 20 are men. Suppose only…

A: Q14. In this situation the hyper geometric distribution is appropriate to use. The probability…

Q: In a given year, 2,264,724 males and 2,124,694 females were born in a certain country. If a child is…

A: Number of male born in that given year: NM=2264724 Number of female born in that given year:…

Q: In any given year, a factory has a 10% probability of having a serious accident. About every how…

A: Determine for every many number of years might the factory expect to have an accident.   The every…

Q: Consider a population of 2000 people, 800 of whom are women. Assume that 300 of the women in this…

A: Given Data:   Total Population=2000 Number of Women=800  Number of Men=2000−800=1200 Total Men=1200…

Q: Based on a​ poll, 40​% of adults believe in reincarnation. Assume that 5 adults are randomly​…

A: Given that :  40​% of adults believe in reincarnation. i.e. p = 40% = 0.40 Sample size (n)  X…

Q: In a small City, approximately 22% of those eligible are called for jury duty in any one calendar…

A: It is given that, approximately 22% of the eligible, in a small city, are called for jury duty in…

Q: In a certain state, it has been shown that only 62% of the high school graduates who are capable of…

A: Let us denote X=the number of high school graduates who are capable of college work actually enroll…

Q: In a class of 50 students, what's the probability that there are at least two students sharing the…

A: In a class of 50 students, we need to find the probability that there are at least two students…

Q: In a class of 56 students, what is the probability that at least two students have the same…

A: From the given information, there are 56 students and 365 days in a year. The probability that 1st…

Q: Suppose that on a certain messaging service, 4.63% of all messages fail to send. Thus, in a random…

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Q: What is the probability that a leap year selected at random will contain 53 Sundays?

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Q: In poker, a flush is a five-card hand in which all cards are from the same suit hearts, diamonds,…

A: There are 13 hearts, 13 diamonds, 13 spades, 13 clubs in the 52-card deck. The number of possible…

Q: Based on a poll, 60% of adults believe in reincarnation. Assume that 8 adults are randomly selected,…

A:

Q: Based on a Bellowes survey of adults, there is a 0.48 probability that a randomly selected adult…

A:

Q: In a group of 3 people, what is the probability that they would all be born on different days of the…

A: There are total 3 people.

Q: nt consists of recording the sex composition, in order of their births, of a four-child family in…

A: Assuming that a boy is equally likely as a girl to be born into a family,i.e., P(B) = 0.50 and P(G)…

Q: Disregarding the possibility of a February 29 birthday, suppose a randomly selected individual is…

A: n= 10  Probability of having same birthdays = p = 1/365 = 0.00274 Let x variable denotes the number…

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: An experiment consists of recording the sex composition, in order of their births, of a four-child…

A: Given data: The four-child family in which the children were born at different times.   The…

Q: a man is dealt with four diamond cards from an ordinary deck of 52 cards. If he is given five more…

A: A standard deck of cards has four suites: hearts, clubs, spades, diamonds Each suite has 13 cards:…

Q: In a certain college, 20% of the physics majors belong to ethnic minorities.  If 10 students…

A: Given information- We have given a problem of the binomial distribution. Probability of the physics…

Q: Based on a poll, 50% of adults believe in reincarnation. Assume that 5 adults are randomly selected,…

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Q: Consider a population of 3000 people, 1400 of whom are men. Assume that 700 of the women in this…

A: The population has 3000 people of which 1400 are male this means that 1600 are female. Let M and F…

Q: According to the estimation of a particular insurance company, in a particular year, 1 out of each…

A: The probability of a fire outbreak can be calculated as: Probability = Number of favorable…

Q: Based on a poll, 50% of adults believe in reincarnation. Assume that 5 adults are randomly selected,…

A:

Q: In​ February, a major airline had 77.7​% of their flights arrive on time. Assume that the event that…

A: Given that: In​ February, a major airline had 77.7​% of their flights arrive on time. Assumption:…

Q: From an ordinary deck of 52 cards, 10 cards are selected at random, without replacement. If exactly…

A: The problem is similar of drawing 6 cards out of 39 cards and these 39 cards have 13 spades.…

Q: Joseph rolls a 6-sided die, observes the outcome, and then tosses a coin according to the number he…

A: We want to find the conditional probability

Q: In a given​ year, 1,984,239 males and 1,759,722 females were born in a certain country. If a child…

A:

Q: How many people need to attend a party for there to be a > 80% probability that at least two of them…

A: Given information: The probability that at least two of the people share the same birthday is 0.8.

Q: In a group of 500 women, 120 have played golf at least once. Suppose one of these 500 women is…

A:

Q: In any given year, a factory has a 20% probability of having an accident. About every how many years…

A: Given that, a factory has a 20% probability of having an accident We write 20% using a fraction

Q: Based on a Bellows survey of adults, there is a 0.48 probability that a randomly selected adult uses…

A:

Q: 2. A group of 5 friends each scheduled with second dose of a Covid vaccine for a day in July. If…

A: First, we find the probability of each of the 5 individuals selecting a different day of the month…

Q: Consider a population of 2000 people, 800 of whom are women. Assume that 300 of the women in this…

A: Consider the following events, M=selected person is a manW=selected person is a womanA=selected…

Q: - An American Society of Investors survey found 30% of individual investors have used a discount…

A: 13 Given that 30% of individual investors have used a discount broker. The sample size is 9. Let us…

Q: An American Society of Investors survey iouria 30% of individual investors have used a discount…

A: Let X denote the number of the sampled individuals have used a discount broker. Then X follows a…

Q: 1) From experience the manager of a bookstore knows that 40% of the people who come into the store…

A: 1) From experience the manager of a bookstore knows that 40% of the people who come into the store…

Q: In a class of 27 learners, what is the probability that at least two learners share the sam…

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Q: In a certain shipment of 1000 laptops, 20 are defective. If a customer purchases the first 4 laptops…

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Q: From an ordinary pack of cards numbered from 1 to 20, a card is drawn at random. What is the…

A: Given that An ordinary pack of card numbers from (1 to 20 Sample space=S=(1,2,3,______,18,19,20)…

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.