A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that 1 out of 5 cars needs to have oil added. If this is true (and assuming cars arriving independently), find the probability that one out of the next four cars needs oil. find the probability that two out of the next eight cars needs oil. find the probability that at most two out of the next eight cars needs oil. find the probability that at most 21 out of the next 84 cars needs oil.

Q: physics class has 50 students. Of these, 17 students are physics majors and 18 students are female.…

A: It is given that, in a physics class, there is a total of 50 students. Out of these, 17 students are…

Q: . If the ball is white, find the probability that the first urn was selected

A: Let us define some events A : The first urn is selected. B : the second urn is selected. E : the…

Q: Assume that the probability of a boy being born is the same as the probability of a girl being born.…

A: given data  P(boy)=P(girl) = 0.5 n = 5 childrens  P( atleast one boy) = ?

Q: A cookie is selected at random from a basket containing 27 peanut butter ​cookies, 16 caramel…

A: Given info: The basket contains 27 peanut butter ​cookies, 16 caramel ​cookies, 11 sugar ​cookies,…

Q: A student taking a true-false test consisting of 10 questions guesses at the answers. Assuming that…

A: Givensample size(n)=10In true or false the probability of making  correct guess isp=12=0.5 Let "x"…

Q: In a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of…

A:

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 12…

A: roll pair of dice twice.  roll dice : {1,2,3,4,5,6} for rolling pair of dice : total outcomes = 36

Q: Suppose a simple random sample of size N equals 150 is obtained from a population who size is N…

A: Given that n =150 , p=0.6

Q: bag B contains 2 red and 5 green balls. Two balls will be drawn randomly from bag A and they will be…

A: Bag  A Red 3 Green 4   Bag  B Red 2 Green 5 Step -1: Consider all possible events…

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: An urn contains 2 white balls and 8 red balls. A second urn contains 6 white balls and 4 red balls.…

A:

Q: 100 people each have a probability of 0.01 of contracting a disease. What is the probability that…

A: Let the random variable X denote the no. of people contracting a disease and it follows binomial…

Q: A physics class has 40 students. Of​ these, 16 students are physics majors and 18 students are…

A: GivenTotal No. of students=40No.of physics majors=16No.of female =18No.of females and physics…

Q: The probability that two independent students will not show up for class on a beautiful spring day…

A: The probability that two independent students will not show up for class on a beautiful spring day…

Q: fish that are above the legal limit and 3 that are not. What is the probability that he'll catch 3…

A:

Q: At a sports camp, it was found that 80% of students play soccer, 71% of students play baseball, and…

A:

Q: In a standard deck of cards, the probability of drawing a king is 1/13. The probability of drawing a…

A:

Q: Mrs. Cruz has three daughters-in-law who are about to give birth. All of them have no idea as to the…

A: Given data: Mrs. Cruz has three daughters-in-law who are about to give birth. All of them have no…

Q: A pair of dice are tossed twice.Find the probability that the first roll is a total of at least 11…

A: The objective of this question is to find the probability of two independent events happening. The…

Q: One bag contains 4 white balls, 3 green balls, and 3 yellow balls.  A second bag contains 2 white…

A: 1st  bag :no.of white balls=4no.of green balls=3no.of yellow balls=3total no.of balls=102nd bag…

Q: The probability that visiting particular doctor results in neither ECG or  an X-ray is 35%. Of all…

A: Given: P(X-ray ) = 30% = 0.30 P(ECG) = 40% = 0.40 P(Neither ECG nor X ray) = 35% = 0.35

Q: A woman plans to have two children. The probability that each child is a boy is 0.525, and the birth…

A: Given,P(a baby boy)=0.525P(a baby girl)=1-0.525=0.475

Q: A pair of dice are tossed twice. Find the probability that both rolls give at most a sum of 6.

A: We have given that,  A pair of dice are tossed twice then the sample space (S) is,  S = {(1,1),…

Q: An opaque bag contains 18 yellow marbles and 23 teal marbles. If two marbles are randomly chosen…

A: Answer: From the given data, number of yellow marbles = 18 number of teal marbles = 23 Total marbles…

Q: Assume that the group has a portfolio of 6 stocks. There is a 30% chance that any one of these…

A: Given that there are 6 stocks There is a 30% chance that any one of the stocks will increase in…

Q: A tennis player makes a successful first serve 30% of the time. If she serves 33 times, what is the…

A: Solution: Let X be the number of first serves and n be the number of times she serves. From the…

Q: Erik, Jordan, Adam, Myra, Gabriel, and Johanna have all been invited to a dinner party. They arrive…

A: Given that, 6 members are invited for a party and stated that  Adam arrives first and Erik arrives…

Q: In a family of 4 Children, the probability of a male birth is 0.5. Find the probability that the…

A: Sample of size(n)=4p=Probability of a male birth=0.5q=1-pq=1-0.5=0.5

Q: Find the probability that the first coin is a nickle given that the second coin is a quarter.

A: It is given that No. of quarters = 2No. of dimes = 1No. of nickels = 3Total coins = 6

Q: In a certain coffee shop, each customer orders exactly one cup of coffee, and 60% of customers order…

A:

Q: An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls.…

A: given that…

Q: A cooler contains 100 ice cream bars. There are 30 Vanilla​ bars, 20 Mint Chocolate Chip​ bars,10…

A: Given :- Number of ice cream bars a cooler contains = 100. Number of vanilla bars = 30 Number of…

Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: A cookie is selected at random from a basket containing 10 peanut butter ​cookies, 8 caramel…

A: From the provided information, The basket contains 10 peanut butter cookies, 8 caramel cookies, 12…

Q: A box contains white ball and blue balls. When two balls are drawn at random, the probability that…

A: From the given information, There are white balls and blue balls in the box. When two balls are…

Q: In a large school, it was found that 69% of students are taking a math class, 75% of student are…

A: Let A be the event found that a student taking a Math class. And B be the event found that a student…

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.