The probability of a successful merger with a larger firm is 0.6. Given that a merger is successful there us a .30 chance that profits next year will be high. What is the probability that both the merger will be successful and the profits next year will be high?

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: The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects…

A: Given: probability(p)=0.073               (7.3%)sample size(n)=13number of success (x)=2 x follows…

Q: Given that an egg is large, what is the probability (between 0 and 1) that it was laid by a sumatra…

A: Let us define some events A : an egg is laid by chantecler variety  B : an egg is laid by sumatra…

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: The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility…

A: (1). Compute the probability that the boat dock will be idle: The arrivals follow a Poisson…

Q: Rob Lee knows that he can compete successfully in a single track mountain bike race unless he gets a…

A: Let F -  getting a flat B - chain breaking P(F) = 0.3 P(B) = 0.05 P(F and B) = 0.01

Q: It has been found that 1 out of every 10 people who visit a local store purchasecigarettes. If we…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A recent survey examined the use of social media platforms. Suppose the survey found that there is a…

A: The probability of union of two sets are given as, P(A or B) = P(A) + P(B) – P(A and B).

Q: The probability that an integrated circuit chip will have defective etching is 0.06, the probability…

A: P( integrated circuit chip will have defective etching) = P(E) = 0.06 P(integrated circuit chip will…

Q: On average, Connor has noticed that 20 trains pass by his house daily (24 hours) on nearby train…

A: Let X be the number of trains passing by his house

Q: It has been found that 1 out of every 10 people who visit a local store purchase cigarettes. If we…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A jury of 12 people is selected randomly from the population. If it is known that approximately half…

A: Solution

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

A:

Q: A research project on retention at a large university indicated that 20% of the students had a…

A: Let P(S) denotes the probability that students had problem stress P(F) denotes the probability that…

Q: The probability that a new advertising campaign will increase sales is assessed as being 0.85. The…

A:

Q: If the percentage of sulfate-resistant concrete pieces in one of the factories is 25%, how many…

A:

Q: The probability that an UofM student is from the Greater Toronto Area is only .25. What is the…

A:

Q: Suppose you manage the demand for a towing company in Little Rock. On a usual day your company gets…

A:

Q: A study of 240 randomly selected residents of a subtropical resort city with 82,000 residents found…

A: It is given that n =240 and p =0.03.

Q: The southeast regional manager of General Express, a private parcel-delivery firm, is worried about…

A: Given: Let A represents the event of Pilots. Let B represents the event of drivers. The probability…

Q: An analyst estimates that the probability of default on a seven year AA-rated bond is 0.49, while…

A: Let; AA = Default on a seven year AA-rated bond A = Default on a seven year A-rated bond Given;…

Q: In a certain high school, the probability that a student drops out is 0.05, and the probability that…

A: The formula for a randomly selected student gets GED is

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: On any given work day, Lillian notices that as she’s driving to school, she is first stopped by a…

A: Let T denote Train and R denote Red light. Given: PR=0.70PT=0.40 Stopped by red light and train are…

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 year, 304 of the approximately 300,000,000 people in the United States were struck by…

A: a. In a recent year, 304 of 300,000,000 people in the United States were struck by lightning.

Q: A component of a spacecraft has both a main system and a backup system operating throughout a…

A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a…

Q: The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility…

A: Given :  The manager of the Fore and Aft Marina in the previous problem wants to investigate the…

Q: A contractor is planning the acquisition of construction equipment, including bulldozers, needed for…

A: The given question has been solved using one approach in the example itself. We will now understand…

Q: In a data set of 10,000 users, 800 users watched the movie Harry Potter; 600 users watched the movie…

A:

Q: To reduce laboratory​ costs, water samples from sixsix public swimming pools are combined for one…

A: In this question, it has been given that probabilities of finding bacteria in a public swimming pool…

Q: In a certain year, the probability that a randomly selected vehicle would be involved in a deadly…

A: We know that, given a tire-related accident, the probability of it being deadly  is 0.04 P(Deadly |…

Q: If a person is selected at random from this group, what is the probability that he/she d) Is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: If a "fair" coin is tossed 1,000,000 times, one would expect the probability (not the number of…

A: here given, The Law of large numbers states that as the number of repetitions of an experiment n…

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

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

Q: A component of a spacecraft has both a main system and a backup system operating throughout a…

A: Given: A component of a spacecraft has both the main system and a backup system operating throughout…

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

A: The probability that more than three of the visitors will purchase milk is obtained below: From the…

Q: A random sample of 270 homes was taken from a large population of older homes to estimate the…

A: Given: A random sample of 270 homes was taken from a large population of older homes to estimate the…

Q: The local weather forecaster predicts that there is a 12% chance of rain on each day next week.…

A:

Q: is the probability that a hurricane does not occur on that day?

A: here given, It has been determined that the probability of a hurricane occurring on a certain day in…

Q: A manufacturer of bicycles produces 80 per cent of its output in its New York factory and the rest…

A:

Q: A manufacturer of tablet ipods is concerned about the possible recall of their best-selling model.…

A: If A and B denotes two events, the probability of happening of A or B can be expressed as PA∪B. The…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Consider that p is population proportion of headache sufferers who get relief with just two…

Q: To reduce laboratory​ costs, water samples from twotwo public swimming pools are combined for one…

A: Probability of an event: The formula for probability of an event is as follows:

Q: The annual premium for a ​$5,000 insurance policy against the theft of a painting is ​$250.  If the​…

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.