Find the mean, variance and standard deviation of each of the probability distribution.

Q: What probability falls within one standard deviation of the mean?

A: It is given that the statement about to the probability falls within one standard deviation of the…

Q: find the expected value of each probability distribution. show a clear a solution, pls. thank you

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Q: An exponential probability distribution has a mean equal to a) P(x> 12) b) P(x>2) c) P(7≤x≤17)

A: Given that Mean =1/λ=7 X~exp(λ) NOTE:- According to bartleby guidelines expert can solve maximum…

Q: A police department reports that the probabilities that 0,1,2,3 burglaries will be reported in a…

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Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A: Solution: Let X be the weights of steers in a herd. From the given information, X follows normal…

Q: An insurance salesperson sells an average of 4.90 policies per day. Let x denote the number of…

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Q: A population has a mean of 200 and a standard deviation of 25. A sample of 64 observations will be…

A: We have to find out given probabiity..

Q: Find the probability that the weight of a randomly selected steer is between 530 and 1430 lbs. Round…

A: Let , X→N(μ=1100 , σ=90000=300) Our aim is to find the probability that the weight of a randomly…

Q: The amounts of electricity bills for all households in a city have a skewed probability distribution…

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Q: The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer…

A: Population mean=1400Population variance=10000Population standard deviation =√Variance=√10000=100

Q: P(x) 0.25 1 0.15 2 0.05 0.55 Find the mean of this probability distribution. Round your answer to…

A: Let X be the random variable having probability mass function is,  X P(x)  0 0.25 1 0.15 2…

Q: A company tracks the number of sales new employees make each day duribg a 100-day probationary…

A: For the given number of sales per day (xi) with the calculated respective probabilities of the given…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

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Q: 1. 1. 1. (x)d 1. 5. 3. 2. 1. 715

A: As per our guidelines we are supposed to answer only one question per post so I am solving first…

Q: The average credit card debt for college students is $3262. The debt is normally distributed with a…

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Q: The life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean…

A: Given information- Population mean, µ = 570 hours Population variance, σ2 = 625 So, Population…

Q: A recent study of the hourly wages of maintenance crew members for major airlines showed that the…

A: Mean()=20standard deviation()=3.50

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the…

A: From the provided information,Mean (µ) = 1000Standard deviation (σ) = 200X~N (1000, 200)

Q: The weights of steers in a herd are distributed normally. The variance is 40,000 and the mean steer…

A: Let X: The weight of steers in a herd. X~Normal(μ=900, σ2=40000) So standard deviation σ = var=40000…

Q: X 1 2 3 4 5 P(x) .007 .295 .394 .245 .058 .004

A: From the provided information, The probability distribution table is as follow: x 0 1 2…

Q: me given function is a probability function. •(x) = ² forx:{1, 2, 3, 4) 20 Calculate: mean standard…

A: We have given that,  P(x) = 2x/20  for x: {1, 2,3,4}

Q: Billiard tables have mean degree of balance 0 and standard deviation 1. What is the probability…

A: It is given that the degree of balance is normally distributed with mean 0 and standard deviation is…

Q: A voin is tossed four times. Let x denote the number of heads. Find the mean and standard deviation…

A: A coin is tossed four times. The  denotes the number of heads.

Q: te the table below and find the mean of the probability distributio

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: X• P(X) X2 X² · P(X) X P(X) 0.04 1 0.38 0.11 3 0.07 4 0.40

A: Solution-: We have following table: X P(X) 0 0.04 1 0.38 2 0.11 3 0.07 4 0.4 We…

Q: Returns Probability distribution IBM Dell 0% -10% 10% 10% 10% 50% 20% 30% 40%

A: We have to find the covariance

Q: Determine whether the distribution represents a probability distribution. X 5 P(X) 0.4 Send data to…

A: Given probability distribution table is,X5678P(X)0.410.50.4

Q: 11-15 1- 2 3 4 P(x) 0.11 0.21 0.22 0.39 0.07 16-20. 2 P'(x) 0. 12 0.42 0.36 0.09

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Q: The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute.…

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Q: If the mean and variance of a binomial distribution are 4 and 2 respectively. Find the probability…

A: Given,The mean of a binomial distribution is, np = 4The variance of a binomial distribution is,…

Q: James and Harry play baseball and each of them can score one goal with the probabilities of 0.4 and…

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Q: A probability distribution of the claim sizes for an auto insurance policy appears in the following…

A: Given Information: Claim Probability 1 0.45 2 0.05 3 0.1 4 0.1 5 0.15 6 0.1 7 0.05…

Q: Compute the mean, standard deviation, and variance for the probability distribution below. Round the…

A: 1 0.2 0.2 1 0.2 4 0.3 1.2 16 4.8 5 0.1 0.5 25 2.5 9 0.4 3.6 81 32.4       The mean of…

Q: The mean of a probability distribution is also known as the expected value. True or False

A: The mean of a probability distribution is also known as the expected value.True or False

Q: The weights of steers in a herd are distributed normally. The variance is 90,000 and the mean steer…

A: The weights o steers in a herd are normally distributed . The variance is 90,000 and the mean steer…

Q: The probabilities that a person is receiving a chat message 0, 1, 2, 3, 4, or 5 per day are the…

A: Let X be the random variable having probability distribution is,  X 0 1 2 3 4 5 P(x)  0.08 0.19…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the…

A: Answer:- Given , The standard deviation, σ = 200lbs  The mean steer weight, μ = 1300lbs  Using…

Q: The number of bacterial colonies on a petri dish can have an average of 2.5 per cm2 Define the…

A: Given: The number of bacterial colonies on a petri dish can have an average of 2.5 per cm.

Q: Find the mean of the given probability distribution. A police department reports that the…

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Q: The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer…

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Q: The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!