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 two out of the next eight cars needs oil.

Q: Suppose a newly opened fast food restaurant invested a lot in marketing and have finally…

A: Given : Average of 4 customer in every 5 minutes.

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: Let A be the win in first game Let B be the win in second game

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: a. P(winning in 1st game )×Pwinning in 2nd  game=14200000×1705600=3.374365619×10-13

Q: An insurance company has determined that each week an average of five claims are filed in their…

A: (a) Obtain the probability that during the next week exactly seven claims will be filed. The…

Q: Every thirteenth box of Smash cereal that is produced contains a special toy. If you buy a box of…

A: Given, Number of Smash cereals with special toys are in x  number of Smash cereals produced = 13*x…

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Solution

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Let X be the number of cars needs to have oil added. Given: n=84 and p=1/5=0.2 Hence, X ~ B (n=84,…

Q: Suppose that last month, WestJet flights arrived on time 74% of the time and you were on 3 of those…

A: Given: Number of flights (n)=3 Probability of success (p) = 0.74 Consider X be the random variable…

Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: The game is at Deuce. Now, the probability of scoring a point = θ.

Q: A place kicker in pro football has a 77% probability of making a field goal over 40 yards, and each…

A: According to the given information, the probability of making a field goal over 40 yards is 0.77.…

Q: To make a 750 piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the…

A: Probability of an event is defined as total favorable outcome divided by total possible outcome.…

Q: What is the probability that the first time Alex gets a job interview will not be the sixth…

A: here  p = probability of getting a chance of job interview = 0.19

Q: (a) Suppose on an average 1 house in 1,000 in a certain district has a fire during a year. If there…

A:

Q: Suppose I toss a fair coin, and the first toss comes up heads. If I keep tossing the coin until I…

A:

Q: The American Red Cross says that about 45% of the US population has Type O blood, 40% has Type A,…

A: Introduction: It is known that there are 4 types of human blood according to the ABO blood grouping…

Q: Wells were dug in a plain, and it was found that 15% of the water from the dug wells was not…

A: Solution: Given: Number of new wells: n = 10 It was found that 15% of the water from the dug wells…

Q: If an average of 40 calls is required in a typical eight hour shift, what is the probability that at…

A: Given: Average number of calls made in eight-hour shift is 40. The average calls made in an 2 hour…

Q: What is the probability that exactly two of these are larger than one ?

A:

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: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: It is given that one-fourth have a Master’s degree and the remainder have Bachelor’s degrees. Half…

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Given : p = 15 q = 45 Apply Binomial distribution P(X=x) = Cxn px qn-x

Q: If the chance of rain on Sunday increases to 50% if it rains on Saturd. suppose you were away on…

A: *Answer: Solution: P(Sunday)=P(Saturday)+50%---------------------------1 Let Probability that it…

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: If the chance of rain on Sunday increases to 50% if it rains on Saturday, suppose you were away on…

A: e. P(rain on Saturday) = 0.60 P(no rain on Saturday) = 1 - 0.60 = 0.40 P(rain on Sunday | rain on…

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: If two cards are selected successively from a well-shuffled pack of 52 cards, what is the…

A:

Q: On average, under standard inspection, one in every 100 slaughtered chickens passes state inspection…

A: It is given that an average, one in every 100 slaughter chickens passes state inspection, even…

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: One-fourth of the students have a Master’s degree, the remaining students have Bachelor’s degree.…

Q: Suppose in the video game Harry Potter Returns, each time you kill a dragon there is a 10% chance…

A: Introduction: For a person who has played the game and killed 100 dragons, denote X as the number of…

Q: Presumably, each student writing this examination is doing so independently of all other students.…

A:

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 one locality, it has been established that the probability that a 20-year-old man reaches 70…

A:

Q: If a family has four children, is it more likely ... they will have two boys and two girls or three…

A: Let us denote X=the number of boys   n=number of trials=4 p=probability of success=1/2 =0.5   X…

Q: If records indicate that 4 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Given that 4 houses out of 1000 are expected to be damaged by fire in any year. Therefore,…

Q: In an experiment, the probability that event A Occurs is and the probability that event B 6 occurs…

A:

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: It is given that one-fourth have a Master’s degree and the remainder have Bachelor’s degrees. Half…

Q: A salesman is known to sell a product in 3 out of 5 attempts while another salesman in 2 out of 5…

A:

Q: A coin is tossed six times. What is the probability that the outcome is six heads, given that…

A: When a coin is tossed probability of getting heads is 1/2 =0.5 Here coin is tossed 6 times .n=6…

Q: Suppose a free throw shooter makes 67 percent of their first attempts.  On the second attempt they…

A:

Q: Given that he arrives on City D on the train he hoped to catch, what is the probability he does so…

A: Given : Professor has to travel from A-D The routes would be : A-B, B-C, C-D For the routes A-B,…

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Solution-: Given: n=10,p=0.33 We find, P[no more than 6 belong to an ethnic minorities]=?

Q: Suppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: Given that,  You roll a 6-sided die, a 10-sided die, and a 20-sided die.

Q: A statistics of a machine factory indicates that for every 1000 it produces there is one reject…

A:

Q: In a certain community, 40% of the family have a pool in the backyard, 65% have kid(s) and 30% have…

A:

Q: A salesman is known to sell a product in 3 out of 5 attempts while another salesman in 2 out of 5…

A: Let, A be the first salesman is known to sell the product in 3 out of 5 attempts. B be the second…

Q: In a group of 25 people, a person tells a rumor to a second person, who in turn tells it to a third…

A: Given information: It is given that, in a group of 25 people, a person tells a rumor to a second…

Q: Assuming the outcomes to be equally likely, find the probability that exactly one of the four…

A:

Q: A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a…

A: Consider an event A defines that main parachute deploys and event B defines that backup parachute…

Q: If Johnny plays Russian Roulette twice, by spinning a revolver containing one bullet in one of the…

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

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: The probability of any two events A and B is given below: