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. Then the probability that after 30 years exactly two people are still living is:

Q: If a die is tossed once what is the probability that a 2 appears on to

A: To find the probability that a 2 appears on top.

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: If one of these 210 individuals is selected at random, what is the probability that the person is a…

A: Here use Bayes Rule

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: A life insurance salesman sells on the average 10 life insurance policies per week. i) What is the…

A: i) The random variable X is defined as the number of policies sold. The variable X has Poisson…

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

A:

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: (a) What is the probability that their date has been interrupted by 8:00pm? (b) If the number of…

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: When it is known that there is a danger in an airbase, the probability of the alarm system working…

A: Define the events as follows: W : The alarm system is working (giving an alarm) Wc : The alarm…

Q: The probability that a person owns a microwave oven is 0.75, that a person owns a compact disk…

A:

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

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: In a roundabout it occurs, on an average, 48 accidents a year. What is the probability that in the…

A: Given: Average number of accidents λ = 48 per year. Formula Used: Poisson distribution:  If a random…

Q: A meteorologist says that the probability that it will rain on Saturday is 30%, the probability that…

A: let event E: it will rain on Saturday and event F: it will rain on Sunday event E∩F: it will rain on…

Q: A small town has one fire engine and one ambulance available for emergencies. The probability that…

A: Given: Event A= Fire engine is available Event B=Ambulance available  Both A and B are independent.…

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: The weather forecast states that: • the probability that it rains on Saturday or not at all is 0.99,…

A: From the given information, the probability that it rains on Saturday or not at all is 0.99 That is,…

Q: In a certain country, the true probability of a baby being born a boy is 0.525% Among the next four…

A: Given that, Probability that a baby being born a boy is 0.525 Now, from the next four randomly…

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: 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: A website reports that 70% of its users are from outside a certain country, and 60% of its users log…

A: Let O denote that randomly selected users are from outside the country. I denote that randomly…

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

A: x: Car needs oil. X ~ Bin(n,p) Where p = 1/5 = 0.20 P(X) = nCx * px * ( 1 - p)n-x

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: 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: Part B Assume that in a 6-day weeklong trip during the month of February at a ski resort, the…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer  first…

Q: Suppose on a given day, there is a 23% chance Emily will forget her wallet when going to work. What…

A: Introduction: Denote X as the random variable of interest here, which is the number of days that the…

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

A: Formula used:

Q: The probability that a person owns a microwave oven is 0.55, that a person owns a compact disk…

A: Given that  P(A)=0.55 , P(B)=0.45 , P(A n B)=0.11 A=own microwave,  B=CD player  A n B=both a…

Q: In a certain high school, the probability that a student drops out is 0.1, and the probability that…

A:

Q: If 1 day of the week is chosen at random to be Mary's day to mow the lawn, what is the probability…

A:

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: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

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: 20​ years, what is the probability that out of 3 couples just​ married, in the next 20 years ​(A)…

A:

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: On average cleo catches a fish on 40% of the times that he casts his fishing line. If he casts his…

A: We have to find the probability that he will catch exactly 9 fish....

Q: Let's say that on the Island of Sodor, it rains 15% of the time, and due to the frequent shifts in…

A: According to the provided data, the number of trials, n is 7 and the probability, p of raining is…

Q: Studies show that historically a certain city is hit by a tornado about once every 5 years. What is…

A:

Q: According to a life insurance​ company's mortality​ table, the probability that a woman of a certain…

A: The given data: Probability that a woman will survive= 0.993 Probability that the woman will die =…

Q: The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to…

A:

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

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

Q: A certain airline books 250 passengers for a certain flight that can seat only 212. If past studies…

A:

Q: A recent survey found that the probability that a student at a particular educational institution is…

A: Given Information, Probability that a student at a particular educational institution is doing B.Com…

Q: A class has six students. What is the probability that at most four of the students were born on a…

A: We know that there are 7 days in a week. The number of weekdays=5 So the probability of having 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.