An agent sells life insurance policies to five equally aged, healthy people. According to recent date, the probability that a person lives in these conditions for 30 years or more is 3. Then the probability that after 30 years at least three people are 5. still living is: 0.9591 O 0.9915 0.9502 0.0413

Q: A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of…

A: Given :70% of all adults over 50 wear glasses for driving

Q: The average number of matches in which Galatasaray football team's football matches were postponed…

A: we have given that  the number of matches follow the Poisson distribution with parameter(lambda)= 5

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: The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not…

A: Assuming X, a random variable, and X~B(n,p) the pmf is P(X=x)=nCxpxq(n-x) ; x=0,1,2...np=probability…

Q: ssuming that P(green) = 0.75, what is the probability that among his 580 plants

A: Let, Xi be a random variable. Xi = 1,     if ith pea is green0,       otherwise So, Xi = 1,   with…

Q: The probability that a randomly selected 33​-year-old male garter snakegarter snake will live to be…

A: The probability that a randomly selected 33​-year-old male garter snake will live to be 44 years old…

Q: The Denver Post stated that 80% of all new products introduced in grocery stores are taken off the…

A:

Q: An insurance company has written 100 policies for $75,000, 500 policies for $20,000, and 1000…

A:

Q: Assume that the probability of recovering from a brain surgery is 0.8. Considering the next 100…

A: NORMAL APPROXIMATION to BINOMIAL DISTRIBUTIONthe PDF of normal distribution is = 1/σ * √2π * e ^…

Q: A recent survey found that 70% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Given that, 70% of all adults over 50 wear sunglasses for driving. Sample size = 10

Q: What is the probability that in every two hours the nurses cannot accommodate the arriving patients?

A: As PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION

Q: - The average number of matches where the football matches of the Galatasaray football team were…

A: See the hand written solution

Q: In a class of 56 students, what is the probability that at least two students have the same…

A: From the given information, there are 56 students and 365 days in a year. The probability that 1st…

Q: 12. After examining 5000 records of children of age 5, a dentist finds that 2235 had at Teast one…

A: Given problem Given that   After examining 5000 records of children of age 5, a dentist finds that…

Q: A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of…

A: A random variable x is following the binomial distribution with the following probability mass…

Q: The average number of dropouts for a school district has been 305 per year with a standard devia-…

A:

Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A:

Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A: Using poisson distribution Find p( x<=4)=?

Q: c) Suppose that, on average, telephone calls arrive at large switchboard at the rate of two per…

A:

Q: An assembly line at a plant produces exactly 10000 widgets a day. Suppose that approximately 1 out…

A: From the provided information, Sample size (n) = 10000 1 out of every 2000 fails a standard test and…

Q: A survey found that one out of five Americans say he or she has visited a doctor in any given month.…

A: From the provided information, Sample size (n) = 10 Probability of Americans who visited a doctor in…

Q: A survey of magazine subscribers showed that 45.8% rented a car during the past 12 months for…

A: Let A and B are the two events then,  probability of happening events A (or) B defined as shown…

Q: Inside the wrapper of a certain candy bar, there is a 1 in 10 chance to win a prize. Suppose you buy…

A:

Q: According to a 2020 article, 69% of men do not wash their hands after using a public restroom.…

A: This is a case of binomial probability. The formula for binomial probability is shown as follows: ,…

Q: Patients arrive at a hospital and emergency department at random at a rate of 6 per hour. Find the…

A: From the given information, Patients arrive at a hospital and emergency department at random at a…

Q: If you buy a lottery ticket in 50 lotteries, in each of which your chance of winning a prize is…

A:

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: 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: Assuming that P(green) = 0.75, what is the probability that among his 580 plants that the number of…

A: Given that , P(green) = 0.75  Total number of plants = 580  Let, X be the number of pees with green…

Q: A newly formed life insurance company has underwritten term policies on 120 women between the ages…

A: It is asked to find the probability that at least $150,000 claims should be paid. Each claim is…

Q: Let A be the event of rolling a die and getting 6, and let B be the event of tossing a coin and…

A: The events are given by A : getting a 6 on rolling a die. B : getting a head on tossing a coin.

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

A:

Q: A recent survey found that 65% of all adults over 50 wear glasses for driving. In a random sample of…

A:

Q: Of the last 230 new hires at a company, 220 had college degrees and 140 had prior experience. Only…

A:

Q: Suppose a rare infectious disease occurs at the rate of 2 per 106 people per year. (a)  What is…

A: It is given that the population in New York City is 8 x 106 and the probability of disease occur is…

Q: A man purchased a $22,000, 1-year term-life insurance policy for $400. Assuming that the probability…

A: Formula used:

Q: A survey of 200 college graduates who have been working for at least three years found that 85 owned…

A:

Q: The average number of matches where the football matches of the Galatasaray football team were…

A:

Q: The probability of an accident among 200 insured in the same age group in an insurance company is p…

A: Given information: Number of individuals who insured in an insurance company, n = 200 The…

Q: An insurance company has written 50 policies for ​$125,000​, 100 policies for ​$30,000​, and 250…

A: we can find n = (50*125000+100*30000+250*10000) = 11750000

Q: Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is…

A: Given that  Success of probability p =0.95 Number of trials n=2 X~binomial (n,p) NOTE:- According to…

Q: A survey of 200 college graduates who have been working for at least three years found that 65 owned…

A: If there are n mutually exclusive, exhaustive and equally likely outcomes of a random experiment and…

Q: At ABC college 40% of all entering freshmen graduate within four years. Among those who graduate…

A: Let , Event A be the person graduate within four years Ac is the complement of event A, i.e. the…

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

A:

Q: A fair six sided die is rolled six times. What is the probability that the die will show either a 1…

A: fair dice has 6 faces with equal probability of each face to shown when tossed.

Q: Suppose that about 55% of the people who are murdered actually knew the murderer. Suppose that a…

A: It is given that, the proportion of people who are murdered actually knew the murdered (p) is 0.55…

Q: A group of realtors estimates that 23% of all homes purchased last year were considered investment…

A:

Q: In a mobile network company, one in every seven subscribers is in a conversation with other…

A:

Q: In a mobile network company, one in every seven subscribers is in a conversation with other…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.