What is the probability that a leap year selected at random will contain either 53 Thursdays or 53 Fridays ?

Q: According to a study by Oxford University, 75% of all Brits can do routine computations. If an…

A: p = 0.75 n = 11

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: If out of 1000 houses only 1 house cathches fire in a year. What is the probability that out of 500…

A:

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: i. What is the probability that a randomly selected subscription expiring at the end of the year was…

A: Here We will use Basics of Tree diagram and Byes thoerem

Q: 6) If a balanced six-sided die is rolled 100 times and 3 comes up every time, what is the…

A: The sample space for the experiment of throwing a die consists of the numbers from 1 to 6.

Q: What is the probability that a day of the week selected at random will be Tuesday?

A: Solution: A week contains 7 days.

Q: If birthdays are equally likely to fall on any day, what is the probability that a person chosen at…

A:

Q: Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2.…

A: poisson distribution is given by

Q: 16. If a fair coin is tossed repeatedly, what is the probability that the third head occurs on the…

A:

Q: Four cards are drawn from a standard deck of playing cards without replacing a card after it is…

A: Probability is defined as the ratio of number of favorable outcomes to the total possible outcomes.…

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

A:

Q: Suppose that 38% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, Probability, p = 38% = 0.38 Sample size = 2

Q: If we roll an ordinary, six-sided die eight times in a row, what is the probability that at least…

A: Given: Number of times the die rolled is, n=8. The objective is to find the probability of at…

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: 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: Find the probability that 3 randomly selected people all have different birthdays. Ignore leap…

A: Solution-: We want to find the probability that 3 randomly selected people all have different…

Q: according to a recent survey 85% of voters are in favor of moving election day from the tuesday…

A: Binomial distribution:A random variable is said to follow binomial distribution if it satisfies the…

Q: When 5 digits( between 0 and 9) are randomly selected with replacement for a lottery ticket, what is…

A:

Q: calculator is programmed to generate random whole numbers between 1 and 15 inclusive. If one number…

A: Solution

Q: Suppose that 31% of students in a college have a smart phone. If you select three students at…

A: Obtain the probability that all three have a smart phone. The probability that all three have a…

Q: A sequence of two playing cards is drawn at random (without replacement) from a standard deck of 52…

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The…

Q: 56% of Americans are active voters. If a sample of 40 random Americans is selected, what is the…

A:

Q: Suppose that 31% of people own dogs. If you pick two people at random, what is the probability that…

A: Here.  We will use : P(A n B ) = P(A) × P(B) Given data: Suppose that 31% of people own dogs. If you…

Q: A social security number consists of nine digits in a particular order, and the repetition of digits…

A: The password consists of 9 digits and repetition of digits is allowed. Since last four digits…

Q: Suppose that 68% of people are left handed. If 24 people are selected at random, what is the…

A: Here, probability that the people are left handed is 0.68 and sample size 'n' is 24.

Q: A group of 20 people is selected at random. What is the probability that at least two of them have…

A: The probability that 1st person having the birthday is 365/365.The probability that 2nd person…

Q: In a group of 8 people, what is the probability that they all have different birthdays? [Assume that…

A: The total number of days is 365.

Q: Consider two people being randomly selected. (For simplicity, ignore leap years.) What is the…

A: The number of days in the month of July is 31 and the total number of days in a year is 365.

Q: If all sequences of six characters are equally likely, what is the probability that the license…

A: If a license plate does not contain any duplicate number i.e all 6 characters are different, then no…

Q: Suppose there is an average of one error per ten pages in each book published by a particular…

A: (1)   Let us define the random variable Y as the of number of errors and follows Poisson…

Q: a) Suppose three people are in a room. What is the probability that there is at least one shared…

A: Here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  HERE use basic Probability Rule…

Q: 26. What is the probability that a leap year selected at random will contain either 53 Thursdays or…

A:

Q: What is the probability that a day of the week selected at random is Wednesday

A: There are 7 days in a week. Let S={Mon,Tue,Wed,Thurs,Fri,Sat,Sun} No of Wednesdays in a week=1 No of…

Q: Suppose 13 people want to schedule a regular meeting one evening a week. What is the probability…

A: Given: Number of people, n=13. The objective is to find the probability that there is an evening…

Q: 7. What is the probability that a randomly selected date in one year is not in the month of December…

A: use the concept of sample space and favourable event to find the probabality.

Q: i. What is the probability that a randomly selected subscription expiring at the end of the year was…

A: Here define events and draw probability tree  Here use Bayes rule and basic probability rule

Q: Suppose that 13% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose that nine-digit Social Security numbers are assigned at random. If you randomly select a…

A: The number of digits from 0 to 9 is 10.

Q: a. What is the probability that exactly 3 of the selected adults believe in reincarnation?

A: Let p be the proportion of adults who believe in reincarnation. Given that p = 0.40 Let X denote the…

Q: Suppose that 10000 tickets are sold in one lottery and 5000 tickets are sold in another  If a…

A: As given: A person owns 100 tickets in each lottery. The chance of winning the first price in the…

Q: Suppose that in a district of a country, 60 income tax reports are submitted to the local revenue…

A:

Q: . Suppose an ordinary six-sided die is rolled repeatedly and the outcome is noted on each roll. What…

A: Given :  X is a random variable shows the number of trials until third 6 occur.

Q: 6) A certain kind of light bulb lasts 1 year on average. What is the probability that a given light…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the probability that seven-digit phone number has one or more repeated digits (leading digit…

A: Let, A is an event of the seven-digit phone number with no repetition and does not have the first…

Q: A passcode on a smartphone consists of 6 digits, and repetition of digits is allowed.  a) determine…

A: A passcode on a smartphone consists of 6 digits, and repetition of digits is allowed.