Suppose that the cumulated number of cars on a freeway follows a Poisson process. We know that there are on average 10 cars per seconds at any point of the freeway. The freeway splits in two branches, and drivers decide indepen- dently to go on the left branch or on the right branch with probability 50%. What is the probability that the total number of cars entering the left branch over 10 seconds is less than or equal to 5?

Q: An old computer system has 2,000 components. The failure probability of one of the components, in a…

A: Let p be the probability that a component in a year of operation fails. Given that p = 0.001 Number…

Q: What is the probability of a group of 4 having a score of atleast 60 if the mean is 50 and SD is 8?

A: given data  n = 4 μ = 50σ = 8P(x¯≥60) = ?

Q: According to a​ survey, 20.8​% of​ credit-card-holding families in a certain area hardly ever pay…

A: Suppose a random variable x, defines that the number of families those hardly ever pay off the…

Q: Q15. In a network of 35 computers, 4 have a copy of a particularly critical file to sustain an…

A: The computers are chosen without replacement, which means that the hypergeometric distribution is…

Q: Suppose the number of motor vehicle fatalities in a city during a week is poisson distributed with a…

A: Given,A random variable X~Poisson(λ=8)P(X=x)=e-8 8xx!  ;    x≥0

Q: i) zero network errors will occur. ii) exactly one network error will occur. iii) two or more…

A:

Q: Suppose that in the population twenty out of twenty-five Armenian companies are expecting bad…

A: Given: p=2025=0.8n=25

Q: Suppose that for a very large shipment of integrated circuit chips, the probability of failure for…

A: From the given information, n=20 and the probability of failure for any chip is 0.40.

Q: 16. To get to work, a commuter must cross train tracks. The time the train arrives varies slightly…

A: Let X be a random variable denoting the no of times the commuter gets stopped during 5-day work…

Q: Suppose that an underground military installation is fortified to the extent that it can withstand…

A: An underground military installation can withstand up to 4 direct hits from air-to-surface missiles…

Q: According to data, the probability that a firm has one to four employees given that it is a…

A: Given: Probability of one to four employees given construction firm is, PEC=0.6951. Probability of…

Q: A jar contains green wrapped candies and yellow wrapped candies.  A person selects two wrapped…

A:

Q: A machine that manufactures automobile parts produces defective parts  14% of the time. If 9 parts…

A: Given that, Probability, p = 14% = 0.14 Sample size, n = 9

Q: In a horse race, give that the proportion of first class horses in each race was 5% and the…

A: Given Proportion of first-class horses in each race was 5% Prob. for a first-class horse to win the…

Q: If math. Professor receives on average of 5 e-mail messages per day from Students, then the…

A:

Q: Determine the probability that the spaceship will be under control of either the original system or…

A: probability that the control system used in a spaceship will malfunction on a given flight is…

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

A:

Q: Suppose that 55% of all babies born in a particular hospital are girls. If 7 babies born in the…

A: Given data, babies born in a particular hospital are girls is p=55% =0.55   If n=7 P(X<3)=?

Q: The probability that a randomly selected 40-year-old female will live to be 41 years old is 0.988…

A:

Q: A traffic control engineer reports that. 75% of the vehicles passing through a checkpoint are from…

A: Given that  75% of the vehicles passing through a check point are from within the state. So the…

Q: Suppose 10% of the people who are given a certain drug experience dizziness as a side effect.  If 15…

A: Solution: Let X be the number of people will become dizzy and n be the sample number of people. From…

Q: 6. An automobile manufacturer is concerned about a fault in the braking mechanism of a particular…

A:

Q: If the percentage of Article (A) produced by a particular factory is 0.3 and Article (B) its…

A: Let the drawing of Article B be the success. Then, the given information isn=6, x=4 and p=0.7…

Q: Q15. In a network of 40 computers, 4 have a copy of a particularly critical file to sustain an…

A:

Q: 19. Say that moments of sale on a small company's website are modeled by a Poisson model with 1 =…

A: We have to find the probability that the time to the next sale will be between 12 and 24 minutes.

Q: single server queuing system with a Poisson arrival rate and exponential service time has an average…

A: See the solution

Q: The probability of a randomly selected shark attacking during a year is 0.0612. If a family of a…

A: Answer: Given that: p= 0.0612 , n= 3 now will use Binomial probability…

Q: Since not all consumers show up for their reservations, a boat corporation always overbooks. Assume…

A: Since not all consumers show up for their reservations, a boat corporation always overbooks. Assume…

Q: The proportion of male students at SIBT is known to be 65%.  Assume students are randomly assigned…

A:

Q: From the seven hospitals in a city, a researcher wants to sample three hospitals for the purpose of…

A: Hiii

Q: Suppose that you select a random sample of 200 pharmaceutical corporate managers and a study showed…

A: From the provided information, Population proportion (p) = 0.15 Sample size (n) = 200 The process…

Q: suppose we select an SRS of 1010 adults. If it is believed that 60% of all adults are very satisfied…

A: From the provided information, Sample size (n) = 1010 60% of all adults are very satisfied with…

Q: A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy…

A: The question is about Bayes' theorem Given : Prob. of heavy smokers = P ( H ) = 0.20 Prob. of light…

Q: In 1985, neither Florida nor Georgia had laws banning open alcohol containers in vehicle passenger…

A: Given In 1985, neither Florida nor Georgia had laws banning open alcohol containers in vehicle…

Q: According to a​ survey, ​28.5% of​ credit-card-holding families in a certain area hardly ever pay…

A: Givenp=0.285n=29Let 'x' be the families hardly ever pay off the…

Q: The probability that a randomly selected 40- year old female will live to be 41 - year old is 0.988…

A: Condition for Independence:   If A and B are independent events, then P(A and B)=P(A)*P(B).   From…

Q: Students in a psychology class are identified as either introverts or extroverts using a personality…

A: Given

Q: The flight time between two cities follows a uniform distribution, between 55 minutes and 75…

A: Let x be the flight time between two cities.x follows a uniform…

Q: 5. A distributed system contains 4 computers. What is the probability of its failure in one year, if…

A:

Q: Suppose the times required for a cable company to fix cable problems in its customers' homes are…

A: It is given that a is 14 and b is 20.

Q: (b) What is the probability that a New Brunswick family doctor has more than 2 patients calling in…

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.