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: . 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: Suppose that the probability that Bob will go downtown is  14%.  Now, also suppose that if Bob goes…

A:

Q: The probability of John going to the movies today is 0.7. The probability of Sam going to the movies…

A: Answer:- The probability of John going to the movies today is P(J) =  0.7               The…

Q: Barbie has applied to both Harvard and Yale. The probability that Harvard will admit her is 0.65,…

A: We denote Yale by Y, Harvard by H, and thus their corresponding probabilities by P(Y) and P(H),…

Q: A math professor finds that when she schedules an office hour for student help, an average of 2.3…

A: Step 1:The probability mass function of the poisson distribution is given by…

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 that the probability that Bob has a flat tire is   56%.  Also, suppose that the probability…

A:

Q: A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what…

A: From the provided information, A couple has three children that is n = 3 Probability of being a girl…

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

A:

Q: The probability that a student owns a car is 0.7. The probability that a student owns a computer is…

A: Given: Probability of student owns a car, P(A)=0.7 Probability of student owns a computer, P(B)=0.67…

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: A meteorologist says that the probability that it will rain on Saturday is 30%, the probability that…

A: let event E: it will rain on Saturday and event F: it will rain on Sunday event E∩F: it will rain on…

Q: Suppose that the probability that Bob eats a banana at lunch is  14%.  Also, suppose that the…

A: Given that, The probability that Bob eats a banana at lunch is,  0.14 The probability that Bob eats…

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

A:

Q: The probability that Alice arrives on time is 80%. The probability that Bob arrives on time is 40%.…

A: Given data The probability that Alice arrives on time is 80% The probability that Bob arrives on…

Q: On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a…

A: On average there are 3 leaks for every 100 miles of a pipeline

Q: You want to purchase a DVD drive for your laptop computer. Assume that 55 ​% of the drives are made…

A:

Q: An assembly line has two inspectors. The probability that the first inspector will miss a defective…

A: If the defective item passes both inspectors then that means that it was missed by the first…

Q: A manufacturer claims that a new drug is 85% effective. If the drug is given to 10 patients, find…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

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: In a group of children the probability a child had black hair is 0.7. The probability that a child…

A: We have given that  P( black hair ) = 0.70 P( brown eyes ) = 0.55 P( black hair or brown eyes ) =…

Q: Students who have qualified for a scholarship include students from Fayetteville High​ School, from…

A:

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: Suppose that the probability that Bob has a flat tire is  20 %.  Also, suppose that the probability…

A: Let define the events as follows: A = Bob has a flat tire B = Bob will have a transmission failure A…

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: 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: In a blood testing procedure, blood samples from 4 people are combined into one mixture. The mixture…

A: Obtain the probability that mixture will test positive.   The probability that that mixture will…

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 candy company claims that 31% of candies are orange. We randomly sample 100 candies. We wish to…

A: It is given that  Population proportion, p = 31% = 0.31 Sample proportion, p^ = 29% = 0.29 Sample…

Q: A pair of dice are tossed twice.  Find the probability that the first roll is a total of at least 7…

A: A pair of dice are tossed twice  Sample space = 36

Q: An urn contains 3 white balls and 7 red balls. A second urn contains 8 white balls and 2 red balls.…

A:

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.