Q1) Let X denotes the minimum of the two numbers that appear when a pair of fair dice is thrown once. Determine @ probability distribution () Mean (i) Variance.

Q: If the mean number of accidents occur per day in a city is 0.6, then using Poisson probability…

A: Given: Mean number of accidents per day λ=0.6 Let X be the number of accidents per day. X ~ Poi…

Q: Machine A is later found that it will produce 2 defective toys per hour. According to the most…

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Q: According to the Experian Automotive, 35% of all car-owning households have three or more cars. In a…

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Q: A machine is producing 4% defectives. What is the probability okf getting at least four defectives…

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Q: What is the expectation of X where X is a single roll of a fair 6-sided dice (S {1,2, 3, 4, 5, 6})?…

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Q: If Y Poisson(2) and Z Poisson(3) are independent, what is distribution of W = Y + Z?

A: Solution: Given  Y~Poisson(2)    and  Z~Poisson(3)   Y and Z are independent random variable

Q: Let us consider the number of accidents occurring on Vijayawada-Hyderabad Highway in a month follows…

A: Let X denote the number of accidents occuring on Vijayawada-Hyderabad Highway. Therefore…

Q: Mr Ledwaba from Department of Health assumed that a random variable X is normal with mean 2 and…

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Q: 2) If the mean number of accidents occur per day in a city is 0.6, then using Poisson probability…

A: Given  Mean number of accidents per day is a 0.6 (poisson distribution ) We need to find given…

Q: Consider a set of 10 seeds planted in a field on day 1. Each seed sprouts the day after being…

A: Solution:a) Find the pmf of X. Find the mean and variance of X.Answer: The ranodm variable X follows…

Q: the following table gives the probability distribution for the number of defective tires on a…

A: The given table is in the form of probability distribution. The independent variable is the number…

Q: the working lives of particular brand of electric light bulb are distri6 with mean 1200 hours and…

A: The random variable working time follows normal distribution. The population mean is 1200. The…

Q: Find the probability that a randomly selected flight between the two cities will be at least five…

A: Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Furthermore,…

Q: Suppose that the number of incoming phone calls to a telephone switchboard Poisson distribution with…

A: As per given by the question, find the probability that the telephone switchboard will received at…

Q: Assume that the number of network errors experienced in a day on a local area network (LAN) is…

A: Given,The mean no.of network errors experienced in a day is 2.4X~Poisson(λ=2.4)P(X=x)=e-2.4 2.4xx!…

Q: Assuming that one in 78 births is a case of twins calculate the probability of 3 or more births of…

A: Given: The proportion of births in case of twins is given as:…

Q: An orange juice producer buys all his oranges from a large orange grove. The amount of juice…

A: INTRODUCTION: NORMAL DISTRIBUTION: A continuous random variable x is said to follow a normal…

Q: if x be a random variable belong to geometric distribution with mean= 3 then p(x-D2) is

A: It is given that mean (1/p) is 3.

Q: Two fair dice are rolled at once. Let X be the random variable that gives the difference in the…

A: Given that, two fair dice are rolled at once. Let X be the random variable that gives the difference…

Q: An automatic machine in a manufacturing process is operating properly if the lengths of an important…

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Q: 8. A group of 8 female managers and 17 male managers apply for a project. A random sample of 5…

A: Please check the solution below

Q: An automatic machine in a manufacturing process is operating properly if the lengths of an important…

A: Given that.   X~N( μ , ?^2 )   μ=117     , ?=5.2   Z-score =( x - μ )/?

Q: Suppose the random variable X foliows a normal distribution with mean 80 and variance 100. Then the…

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Q: 2.The number of calories in an order of poutine at a certain fast food restaurant is approx.…

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Q: The mean number of typhoon hitting US follows a Poisson distribution with     variance 0.5 per…

A: In general, the mean and variance of the Poisson distribution is same. Here, ?=0.5 per month. a)…

Q: The marks obtained by a number of students in a certain subject are assumed to be approximately…

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Q: Assume that the number of network errors experienced in a day on a local area network (LAN) is…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: compute for the mean, variance and standard deviation. 4. A company has five applicants for two…

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Q: 9. Derive Poisson distribution as a binomial distribution. limiting form of

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Q: assume that woman have diastolic blood pressure measures that are normally distributed with a mean…

A: From the given information, let us define the random variable X as diastolic blood pressure levels…

Q: Let a random experiment be the casting of a pair of fair five-sided dice and let X equal the maximum…

A: Given, 2 fair dice are thrown simultaneously. Each die has 5 sides. X: The maximum of two outcomes.…

Q: Supposed that the mean age of the employees of warior's corporation is 45.5 years and the standard…

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Q: The lifespan of 150 bulbs are found to be normally distributed with mean of 700 hours and standard…

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Q: Suppose that the amount of time a machine produces an item is normally distributed with mean 4 hours…

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Q: A process for putting chocolate chips into cookies is random and the number of choc chips in a…

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Q: 2. For the case of a thin copper wire, suppose that the number of flaws follows a Poisson…

A: Given: Let the number of flaws be X X follows Poisson distribution Mean, λ = 2.5 per millimeter…

Q: An automatic machine in a manufacturing process is operating properly if the lengths of an important…

A: (A) Obtain the probability that one selected subcomponent is longer than 119 cm. The probability…

Q: Suppose the random variableX follows a normal distribution with mean 80 and variance 100. Then the…

A: Given Data: Mean=80 Variance=100   X~ Normal (80, 100)

Q: The number of accidents occurring in a plant in a month follows Poisson distribution with mean as…

A: Introduction : Given , Poisson Distribution question , mean = 5.2 We have asked to calculate the…

Q: For the lucky draw, the prize committee of a school has decided to randomly purchase 3 cell phones…

A: Out of 6 sets, 2 are of imitation brand and remaining 4 are genuine sets. The variable X is the…

Q: 4. Create a probability distribution for distribution of "number of heads" appearing after flipping…

A: We have given that  Total possible number of outcomes = 23 = 8 The sample space, S = {HHH, HHT, HTH,…

Q: The number of flower arrangements delivered each day by BONSAII FLOWERS follows a Poisson…

A: Given: λ=10 The probability that BONSAII FLOWERS deliver the first day of April exactly 5…

Q: Suppose that the safe distance to avoid an automobile collision between two cars if you drive in…

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Q: A marksman takes 10 shots at a target and has probability 0.2 of hitting the target with each shot,…

A: Consider X be a random variable which follows binomial distribution indicates the number of hits.…

Q: The number of errors in a text book follows a Poisson distribution with mean of 0.01 errors per…

A: Given,the mean no.of errors per page (λ)=0.01so , the mean no.of errors per 100…

Q: An automatic machine in a manufacturing process is operating properly if the lengths of an important…

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Q: 9. Red blood cell deficiency may be determined by examining a specimen of the blood under a…

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Q: 2) The mean and standard deviation of the number of mildly strong earthquakes taking place in the…

A: Given information: Mean = 129 Standard deviation = 56 x = 134