The number of custmers who enter HSBC bank in an hour follows a poisson distribution, and suppose that P(X=0)3D0.15. Determine the mean and variance of X. mean=variance =1.997 mean = variance =1.897 mean=1.897 and variance =1.377 None

Q: The superintendent of a large school district, having once had a course in probability and…

A: Given that

Q: Suppose Y₁, Y₂,,Y, is an iid sample from a Poisson(A) distribution, where >> 0. Is Y a consistent…

A: Defination: ȳ is an consistent estimator of λ iff  E(ȳ)=λ as n is large. V(ȳ)=0 as n is large.

Q: Which type of distribution can the Poisson model be used to approximate? When would you do this?

A: We need to use the concept of approximations

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A: Two sample t test with equal variances is applicable

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A: Given:  mean=μ=29.9 standard deviation = σ=4.9 we have to find z score for x=26.1

Q: A random sample of 10 subjects have weights with a standard deviation of 12.0718 kg. What is the…

A: Given: Standard deviation = SD = 12.0718

Q: Suppose Y₁, Y2,, Yn is an iid sample from a Poisson(A) distribution, where > 0. Is Y a consistent…

A:

Q: A random sample of 10 subjects have weights with a standard deviation of 12.932812.9328 kg. What is…

A:

Q: Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds.…

A: It is given that population mean µ=175 pounds, population standard deviation σ=25 pounds. Sample…

Q: Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the…

A: Given Data: Let X represent the height of the maple tree P(X<150)=0.3 σ=64=8

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Assume the probability that a maple tree at age 5 grows less than 170 cm is equal to 0.25. If the…

A: Given that,  P(X<170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…

Q: (2) The time it takes for a student to watch an IE342 video lecture is uniformly distributed between…

A:

Q: A survey found that 0.05% of the people in a city are infected by the COVID virus. If we randomly…

A: Given that , probability, p= 0.05% = 0.0005 n= 5000 So,  X~ binomial (5000,0.0005) Hence, mean = np…

Q: 2. A study at the University of Colorado at Boulder shows that running increases the percent resting…

A:

Q: The number of customers that arrive at a gas station is Poisson distributed and on average 60…

A: From the given information, the mean is 1.0.

Q: Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

A:

Q: The aggregate amount of claims, S, in a group insurance policy has a Compound Poisson distribution…

A: Individual claims  Pareto → mean = 2×103 Variance = 8×106 Aggregate amount of claims  Poisson → λ=20…

Q: suppose the random variable X has a normal distribution with a mean of 10 and a variance of 16…

A: Given information: X is a random variable follows normal distribution. That means,

Q: The effective life of a component used in a jet-turbine aircraft engine is a random variable with…

A: Given Population mean μ1=5000, population mean μ2=5030 Population standard deviations σ1=40,…

Q: ize 400 is taken from a population with a mean of 610 and a standard deviation of 15. Find the…

A: Given, n=400 Mean (μ) = 610 Standard deviation (σ) = 15

Q: The superintendent of a large school district, having once had a course in probability and…

A: Given that the superintendent of a large school district, having once had a course in probability…

Q: A sample of 20 cans of tomato juice showed a standard deviation of 0.4 ounces. A 95% confidence…

A: we have given that, sample size = 20 standard deviation = 0.4 now, variance= (standard deviation)^2…

Q: Calculate the mean and variance of this distribution using the MGF obtained in (a).

A:

Q: A study was done on body temperatures of men and women. The results are shown in the table. Assume…

A:

Q: If x, xy ... x be a random sample drawn from a normal population with mean u and variance o?, then…

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Q: 2 The number of cars passing a checkpoint during 200 periods of 5 minutes is recorded. Number of…

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Q: Compute the standard score (Z-score) for x, when x = 42, the mean of the distribution = 26, and the…

A: x = 42Mean = 26Standard deviation = 8

Q: In a given population for beverage drinkers, an individual's per kg expenditure on tea (T) and their…

A: Define the Random Variables, X : Per kg expenditure on tea  Y : Per kg expenditure on coffee Given…

Q: The probability function for the number of seizures, X, of a typical epileptic person in any given…

A: The variance of X is calculated as Var(X) = E(X2) - (E(X))2

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

A:

Q: Suppose that X has the uniform distribution on the interval [0, 1]. Compute the variance of X.

A: The probability distribution function for a uniform distribution in interval a,b is given by…

Q: The number of accidents in a year attributed to taxi drivers in a city follows Poisson distribution…

A:

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 140 cm is equal to 0.2. If the…

A: Given Data: Let X represent the height of the maple tree P(x<140)=0.2 σ=81=9

Q: A given age group's average height is 53 inches, with a standard variation of 4 inches. Determine…

A:

Q: Which discrete distribution has a difference between their means and variances equal to zero?

A: Here identifying distribution in which mean and variance are equal

Q: 10. If the kurtosis coefficient is 4, this indicates that the kurtosis is positive and that the…

A: Given : Statement : If the kurtosis coefficient is 4 , this indicates that the sample data do not…

Q: Determine the probability mass function of the number of cracks (X) in 5 miles of highway. 2.…

A: It is given that Number of cracks per mile = 2, then Number of cracks per 5 miles = 2 × 5 = 10

Q: Test the claim that the samples come from populations with the same mean. A ssume that the…

A: As given,  It is assumed that the populations are normally distributed with the same variance.  The…

Q: If independent random variables 'X' and Y have the variances 36 and 16 respectively, find the…

A:

Q: At a hatchery, the lengths of young fish in one of the tanks is normally distributed with a mean of…

A:

Q: suppose the random variable X has a normal distribution with a mean of 10 and a variance of 16…

A: Given: The random variable X is normally distributed. The population mean is given as:…

Q: Do rats take less time on average than hamsters to travel through a maze? The table below shows the…

A:

Q: hours. The researcher feels that college students sleep more than  6.9  hours on average. The…

A:

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

A: For the case of the thin copper wire, auppose that the number of flaws follows a poisson…

Q: Assuming a beta distribution is being used, if the most optimistic time for an activity decreases by…

A: Given information: Given that the most optimistic time for an activity decreases by 12 days.

Q: Suppose that the rice mill wants to test its product to find out whether it meets the average weight…

A: Note: According to Bartleby guidelines expert solve only one question and rest can be reposted.

Q: Let Y be the life in hours of a battery. Assume Y is normally distributed with mean 200 and variance…

A:

Q: For a random variable X with standard deviation 5, Variance of 2x + 4 is

A: It is given that, Standard deviation of X is 5 Now, The variance of X is =52=25