Every morning a math instructor picks out two socks completely at random from his closet; there's only a 20% chance they match. If they don't match there is a 60% chance his students will laugh at him, while if his socks do match there is only a 10% chance of his students laughing at him. On a given day, what is the probability that his students laugh at him?

Q: It has been found that 2 out of every 10 people who visit a local store purchase juice. If we…

A: Let x follows binomial distribution with parameters, The pdf of binomial distribution is, The…

Q: In a large population, 50 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Givenp=50%=0.50n=3x=noof people get vaccinatedx~Binomial(n=2,p=0.50)P(X=x)=Cxn px (1-p)n-x    ;…

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

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: A financial analyst believes that if interest rates decrease in a given period, then the…

A: Let event A denotes that the interest rates will decrease in a given period And event B denotes that…

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: In a certain community, 8% of all adults over 50 have diabetes. If a doctor in this community…

A: Introduction - Probability - Probability defines the likelihood of occurrences of an event . There…

Q: In a large population, 51% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability of selecting a person who has been vaccinated is 51% or 0.51 Number of observation = 5…

Q: The results of a recent survey indicate that 71% of people in the United States use more than one…

A:

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

A: The number of participant in first lottery is 4.2 millions. The number of participant in second…

Q: A recent poll found that 30% of those surveyed are worried about aggressive drivers on the road. If…

A:

Q: A hockey coach was taking her team out to a picnic lunch to celebrate their first win. She made 7…

A: Here we should find the probability that all of them are hummus.

Q: A marketing research survey shows that approximately 80 percent of car owners surveyed indicated…

A: Introduction :-  Here we have to find various probabilities. Given, A marketing research survey…

Q: If two coins are tossed at once, what is the probability of getting only one head?

A: Probability of an event is the ratio of number of favourable outcomes to total number of possible…

Q: A recent survey shows that 60% of families regularly schedule family vacations for the month of…

A: Given, 60% of families regularly schedule family vacations for the month of April. Let X = number of…

Q: In Canada, 63% of households speak English as their primary language, and 23% speak French as their…

A:

Q: Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin.…

A: The selection of glass bottles and tossing coins are two independent events.  So, we have to find…

Q: According to a recent​ report, 30​% of new businesses in 2013 were started by women and 70​% of new…

A: Given that P(new business women) = 0.3 P(new business men)=0.7 P(above 50,000) /new business women)…

Q: In a certain country, 47 percent of the population are on a strict diet. In a sample of 20…

A: Let p be the probability that an individual is on a strict diet. Given that p = 47% = 0.47 Let X…

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: Every year many people hiking the australian outbacks are reported to be lost, and around 40% are…

A: Let R be the event to denote found by rescue missions       R' be the event to denote not found by…

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: In the construction of midrise buildings, a safety engineer claims that only 40% of all workers wear…

A: Solve using Binomial distribution

Q: In a large population, 53% of the people have been vaccinated. If 5 of the people are randomly…

A: It is given that n = 5 and p =0.53.

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: In a recent​ survey, it was found that the median income of families in country A was ​$58,000. What…

A: In a recent​ survey, it was found that the median income of families in country A was ​$58,000.

Q: It has been found that 2 out of every 10 people who visit a local store purchase milk. If we…

A: Given: n=13 p=210=0.2

Q: In a certain science degree program, 25 percent of the students failed their mathematics exam, 15…

A:

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: Police records show that for a certain area in Arendale, when the driver of a car double parks, 60%…

A: Let X be the number of not allowed towed away  Let p be the probability of towed away=0.6  q be the…

Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

A:

Q: Ninety-nine percent of all babies survive delivery. However, 25 percent of all births involve…

A: Given Information: 99% of all babies survive delivery. 25% of all births involve Caesarean…

Q: 2.  In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people…

A: Given data in a recent survey  18 people preferred milk , 29 people preferred coffee, 13 people…

Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

A:

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

A:

Q: In a certain community, 36 percent of families own a dog, and 30 percent of families own a cat. What…

A: A = families own a dog B= families own a cat  P(A)=36%=0.36 P(B)=30%=0.30

Q: A politician running for Senate in California claims that only 34% of Californians approve of the…

A: Obtain the probability that more than 40% of those surveyed approve of the competitor. The…

Q: A marketing research survey shows that approximately 80 percent of the car owner surveyed indicated…

A: Probability of an event is chances of occurrence of the event. Probability of an event is computed…

Q: As a promotional offer, a newly opened movie theatre is awarding 25% of their new patrons with a…

A: It is an important part of statistics. It is widely used.  Since the question has multiple sub parts…

Q: A flu test shows that about 31% of all patients visited the hospital. Suppose that 90 patients…

A:

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: A study by the National Park Service revealed that 50 percent of vacationers going to the Rocky…

A: The following information has been given: The probability of vacationers visit Yellowstone Park is…

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: According to this simulation, what is the probability that at least one of the next five dogs he…

A: here given a simulation result total outcomes in result  = 20 and  let 5 and 6 represents the german…

Q: A study was conducted to better understand the television habits of married men and women during…

A:

Q: What is the probability that the next card dealt will be a face card if the 12 cards dealt so far…

A: In this problem, the probability that the next card dealt will be a face card after drawing 12 cards…

Q: For a box containing 25 matches dropped into water, what is the probability that fewer than three of…

A: Let p be the probability that a match will light. Given that p = 0.17 Let X denote the number of…

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.