A newly formed life insurance company has underwritten term policies on 120 women between the ages of forty and forty-four. Suppose that each woman has a 1/150 probability of dying during the next calendar year, and that each death requires the company to pay out $50,000 in benefits. Approximate the probability that the company will have to pay at least $150,000 in benefits next year.

Q: The national weather service has issued a severe weather advisory for a particular county that…

A: Let X be the rain's start time which follows uniformly distributed between 9 p.m. and 10 p.m. which…

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

A: In this question we will be using Poisson distribution.  It is given that the restaurant can expect…

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: For a certain manufacturing process it is known that, on the average, 10% of the items are…

A: Probability of defective item= 10% Probability of non defective item= 90%  As 1st trial, 2nd trial…

Q: What is the probability that they will not strike out af

A:

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: On average, an insurance company receives 6 claims between 14:00 and 16:00 on a particular day. What…

A: The probability density function of poisson distribution is given by

Q: From a well-shuffled deck of ordinary playing cards, four cards are turnedover one at a time without…

A: A well shuffled deck of card contains 52 cards of which 26 cards are red and  13 card are spades.…

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

A:

Q: to the grand prize in the academic incentive program. Which is ciosest to the probability that the…

A: here Given  The table of No of students who got Double As and One student will be selected from this…

Q: A man purchased a $25,000, 1-year term-life insurance policy for $350. Assuming that the probability…

A: Given:A man purchased a $25,000, 1-year term-life insurance policy for $350.The probability that he…

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

A:

Q: exactly halfway between home and second base, what is the probability that a batter will bunt the…

A: Here use basic probability  = (favorable area)/total area

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

A:

Q: d for malpractice at least on

A: given:  a 60-yearold surgeon has been sued for malpractice at least once in his/her career

Q: A man purchased a $23,000, 1-year term-life insurance policy for $400. Assuming that the probability…

A: Given that probability that he will live for another year = 0.987 Probability that he will die…

Q: The National Aeronautics and Space Administration (NASA) has experienced two disasters. Challenger…

A: The National Aeronautics and Space Administration (NASA) has experienced two disasters. Challenger…

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

A:

Q: Two regular six sided dice are tossed, one at a time. compute the probability that the pips on both…

A: For each die, there are 6 possible outcomes.  So for 2 six-sided dice, there are 62=36 outcomes.…

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

A: Given that an average of 40 calls is required in a typical eight hour shift.

Q: If new cases of West Nile in New England are occurring at a rate of about 2 per month, then what’s…

A: n = 6x = 4p(x)=nxpxqn-xp = 4/6 = 2/3q = 1 - p = 1 - 2/3 = 1/3p(x)=nxpxqn-x…

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

A:

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

A: It is given that 23% of all homes purchased last year were considered investment properties.

Q: The mean number of patients admitted per day to the emergency room of a small hospital is 1. If, on…

A:

Q: It is known from the past experience that in a certain plant, there are on an average 4 industrial…

A: Given info: Here, λ = 4.

Q: According to a posting on a website subsequent to the death of a child who bit into a peanut, a…

A: Let A be the event that a person has food allergy Given, P (A) = 4% = 0.04. Let B be the event that…

Q: (a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the…

A: let take,   X = Less likely and 45 to 54 years of age  Y=45 to 54 years of age Total 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: 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) What is the probability that a drug meets specifications or is produced in factor A? b) Given…

A:

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

A:

Q: A town recently dismissed 6 employees in order to meet their new budget reductions. The town had 6…

A: Given data: The numbers of employees dismissed are d=6. The numbers of employees over 50 years are…

Q: Consider the case where the predetermined average number of bus arrivals at the Cubao Station is 6…

A: As given, the average number of bus arrivals at the Cubao Station is 6 per 15-minute period. This…

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 magazine subscribers showed that 43% rented a car during the past 12 months for business…

A: Let A be the event that a person rented a car during the past 12 months for business reasonsLet B be…

Q: a. If a lost hiker is carrying an emergency GPS locator, what is the probability of them being…

A:

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

A: X~Binomial (n , p) This question can be answered with the help of binomial distribution.

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: 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: The National Association of Realtors estimates that 23% of all homes purchased in 2004 were…

A: Given: p=0.23 n=800 x=200 The sample proportion is, p^=xn=200800=0.25

Q: A man purchased a $26,000, 1-year term-life insurance policy for $375. Assuming that the probability…

A: The probability that the man will live another year= 0.99 =the probability that the company loses…

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

A:

Q: The mean number of patients admitted per day to the emergency room of a small hospital is 22. If, on…

A:

Q: In a security check, it is known that out of 100 people, 2 persons bring things that are not allowed…

A: Probability distribution

Q: In a new fiber-optic communication system, trans- mission errors occur at the rate of 1.5 per twenty…

A: Given,The average no.of errors occur per twenty seconds is 1.5so, the average no.of errors occur per…

Q: A company that makes remote control aeroplanes believes that 6% of purchased planes are returned…

A:

Q: Based on a study by Dr. P. Sorita at Indiana University, approximately 12% of people have green…

A: It is given that n =0.12 and n = 650.

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

A: Given information- We have given a problem of binomial distribution. Probability of calls were not…

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.