Four people are selected at random. What is the probability that none of the people in this group were born on the same day of the week? (Round your answer to three decimal places.)

Q: employees in an office wear eyeglasses. 33 have single-vision correction, and 8 wear bifocals. If…

A: From the given information, Total number of employees = 41 Number of employees with single vision…

Q: 20) In one town, 45% of all voters are Democrats. If four voters are randomly selected for a survey,…

A: This is the case of binomial because there are only two possible outcomes, i.e., Democrats or not…

Q: At a certain college, 49% of the students are female, and 19% of the students major in civil…

A: Given that Female =49% =0.49 Civil engineer = 19% =0.19 Female and Civil engineer ( both ) = 12%…

Q: Of the drivers who stop at a gas station, 91% purchase gasoline, and 5% purchase both gasoline and…

A: Given : Of the drivers stopping at a gas station, 91% purchase gasoline, 5% purchase both gasoline…

Q: Everyone has a birthday, of course, but everyone also has a birth-day-of-the-week (you were born on…

A: Introduction: There are 7 days in a week. Without any constraint, each of the 4 students may have…

Q: A box of markers contains 10 black-inked (4 wide-tipped and 6 fine-tipped) and 15 red-inked (3…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: In a recent survey of a random sample of 437 California residents, 129 said they visited a state…

A: Given : Total number of residents = 437 Number of residents visited state park in last 6 months =…

Q: Ten percent of all households watch Monday Night Football on ABC network. Using the binomial…

A: n = 14 r = 5 p = 0.1 q = 1-0.1 = 0.9

Q: About 13% of the population is left-handed. If two people are randomly selected, What is the…

A:

Q: There are 18 students, from which 9 people will be selected to be on a panel. If Allen and Joe are 2…

A:

Q: If records indicate that 2 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Let us denote X= number of damaged houses Given that the probability of a damaged house= 2/1000 =…

Q: At a particular college 10% of the students major in business, and are required to take a Statistics…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: In a survey, 58% of American adults said they had never heard of the Internet. If 20 American adults…

A:

Q: Nine people, named Anna, Bob, Chandra, Darlene, Ed, Frank, Gina, Hank, and Irene, will be…

A: Total number of people who attend the interview = 9   The probability of an event A is: P(A) =…

Q: You are pulling from a bag containing 9 blue marbles, 8 black marbles, 8 green marbles, and 3 yellow…

A:

Q: A particular traffic light at the outskirts of a town is red for 30 seconds, green for 25 seconds…

A: From the given information, Consider, A be the event that the traffic light is red for 30 seconds. B…

Q: Suppose we roll 10d6 and observe that the number 6 appears three times. What is the probability…

A: The arrangements of 3 six's among 10 results of dice will form the sample space of the random…

Q: There are 20 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2…

A: Given information- We have given that out of 20 students, from which 6 people will be selected to be…

Q: select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card…

A: A card is randomly selected from well-shuffled standard deck of 52 cards. There are 13 cards of club…

Q: In a large population, 57% of the people have been vaccinated. If 3 people are randomly selected,…

A: Obtain the probability that that at least one of them has been vaccinated. The probability that that…

Q: Suppose we randomly draw one card from a standard 52-card deck. What is the probability that we draw…

A: We have given that  There are 52 card in the deck in which they divided into two color i.e red(26)…

Q: A box contains six 40-W bulbs, eight 60-W bulbs, and seven 75-W bulbs. If bulbs are selected one by…

A: Given information: The number of 40-W bulbs is n(40-W) = 6. The number of 60-W bulbs is n(60-W) = 8.…

Q: In a certain college, 33% of the math majors belong to foreign student. If 10 students are selected…

A:

Q: 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 40…

A:

Q: A bag contains 44 U.S quarters and six Canadian quarters. If seven quarters are randomly picked from…

A: Given that. Total quarters=44+6=50 U.S quarters=44 Canadian quarters=6 Find P(at least 1 Canadian…

Q: A survey found that one out of five Americans say he or she has visited a doctor in any given month.…

A: From the provided information, Sample size (n) = 10 Probability of Americans who visited a doctor in…

Q: Patients arrive at a hospital and emergency department at random at a rate of 6 per hour. Find the…

A: From the given information, Patients arrive at a hospital and emergency department at random at a…

Q: An unprepared student takes a 10-question true-false quiz and guesses at the answer to every…

A:

Q: If you buy a lottery ticket in 50 lotteries, in each of which your chance of winning a prize is…

A:

Q: In a large population, 59 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given Data Probability of success,p = 0.59 Probability of failure,q=(1- 0.59 )= 0.41…

Q: If records indicate that 14 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Let us denote X= number of damaged houses Given that the probability of a damaged house= 14/1000 =…

Q: A group of people were asked if they had run a red light in the last year. 326 responded "yes", and…

A: Given, a group of people were asked if they had run a red light in the last year, 326 responded…

Q: A group of people were asked if they had run a red light in the last year. 476 responded "yes", and…

A: Given that, A group of people were asked if they had run a red light in the last year. Number of…

Q: The Edmonton Oilers win 70% of their games if they score first, but only 40% of their games if the…

A:

Q: 1) If 6 bottles are randomly selected, what is the probability that this results in two bottles of…

A:

Q: A group of people were asked if they had run a red light in the last year. 281 responded "yes", and…

A:

Q: A fruit basket contains fifteen apples, five of which are overripe. If three apples are selected at…

A: Given, N = 15 X = 5 Probability of overripe is:p = XN = 515 = 0.3333     To find, P (X = 1) = ?

Q: Of the 82 grade-12 students at a school, 22 are taking Physics. Suppose that 18 grade-12 students…

A: This is a binomial distribution. The problem is solved using the probability distribution function…

Q: You pick a letter at random from a 26-letter alphabet. If you pick five letters, with repeating…

A:

Q: If two cards are randomly drawn from a standard 52-card deck, what is the probability that the first…

A: Case ( i ) Two cards are selected at random from a deck of 52 cards WITHOUT replacement. The first…

Q: Consider the tossing of a pair of dice. Find the probability that the sum of the two die is 6.…

A: The possible outcome for a pair of dice is 36. which is as follows: (1,1), (1,2), (1,3), (1,4),…

Q: Roll a six-sided die four times. If it is known that 1 appeared at least once, what is the…

A: From the provided information, Number of times die rolls = 4 Probability of getting a 1 for any…

Q: A group of people were asked if they had run a red light in the last year. 478 responded "yes", and…

A: Number of Run red responded yes =478  Number of Run red responded no = 254  Total=478+254=732…

Q: Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them…

A:

Q: A group of people were asked if they had run a red light in the last year. 189 responded "yes", and…

A: Given,no.of people run a red light=189no.of people responded "no"=253Total no.of peoples=442

Q: A group of people were asked if they had run a red light in the last year. 312 responded "yes", and…

A:

Q: A class consists of 17 freshmen and 78 sophomores. If a student is randomly selected, what is the…

A:

Q: a large population, 60 % of the people have been vaccinated. If 4 people are randomly selected, what…

A: Given data, n=4 p=60% =0.60 P(X>=1)=?

Q: You are pulling from a bag containing 2 blue marbles, 3 black marbles, 2 green marbles, and 1 yellow…

A: Total number of marbles=2+3+2+1=8 Number of blue marbles=2 Required probability =(Number of possible…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.