The time of a call to a technical support line is uniformly distributed between 2 and 10 minutes. What are the mean and variance of this distribution?

Q: suppose that a coin is to be tossed four times and let X represent the number of tails that can come…

A: Given: A coin is tossed four times. X represents the number of tails. The objective is to find…

Q: The long-distance calls made by the employees of a company are normally distributed with a mean of…

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Q: when samples drawn from a population, which is positively distributed, with replacement and sample…

A: From the given information, Consider, X be the random variable which is positive distributed.…

Q: 2. The mean weight of 1000 students at a certain high school is 140 pounds and the variance is 100…

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Q: Calculate Pearson’s coefficient of skewness. Hence, describe the shape of the distribution of the…

A: Skewness of a certain frequency distribution is used to measure the amount by which it deviates from…

Q: Find the тean and variance of exponential distribution by direct method.

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Q: if X is normally distributed withe mean 10 and standard deviation 2, what is the probability that X…

A: Given, Px,5=PX-μσ<5-102=Pz<-2.5=0.00621 Using Excel SyntaxNORM.S.DIST-2.5,TRUE X is normally…

Q: When the sample size is increased, the spread of the sampling distribution for a sample mean (select…

A: Spread measures define how similar or varied the set of observed values for a given variable (data…

Q: The diameter of a pipe is normally distributed, with a mean of 0.3 inch and a variance of 0.0016.…

A: Let us denote X=The diameter of a pipeGiven that X follows a normal distribution with mean=0.3 and…

Q: In a Binomial distribution mean 4 and variance is 2. Find the mode of %3D Binomial distribution.

A: Given that Mean = 4, Variance = 2 Find Mode = ?

Q: A random sample of size, n=20 has the mean 20 and standard deviation 5. What is the coefficeint of…

A: Given Information: Sample size (n) = 20 Sample mean (x¯) = 20 Sample standard deviation (s) = 5 To…

Q: What are the requirements needed to be a binomial distribution?

A: To find: What are the requirements needed to be a binomial distribution?

Q: Determine the Binomial distribution for which the mean is 4 and variance 3 and find its mode.

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

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Q: What is the mean of the average waiting time of 65 passengers?

A: HERE given , Bus waiting time is uniformly distributed with the shortest and the longest waiting…

Q: In a bottling plant, the filling machine works properly when the variance of filling amount equals…

A: χ2 = (n-1)s2σ2

Q: If the sick leave time of employees in a firm in a month is normally distributed with a mean of 50…

A: This question is related to Distributions. The solution to the given question is explained below.

Q: 2. Suppose that the current measurements in a strip of wire are assumed to follow a normal…

A: Let X denote the current measurements in a strip of wire. Given that X follows N(mean = 10, SD = 2),…

Q: Suppose the height of a certain population is normally distributed with mean of 158 cm and variance…

A: Given,mean(μ)=158standard deviation(σ)=16=4

Q: The diameter of a pipe is normally distributed, with a mean of 0.8 inch and a variance of 0.0016.…

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Q: e, the normal distribution is used to approximate the sampling distribution of the sample proportion…

A: The sampling distribution of the sample proportion is approximately normal with at least 10 expected…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Given information- Mean waiting time, μ = 6 minutes Variance of the waiting time σ2 = 9 minutes So,…

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

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Q: For a Poisson distribution of anomalies with mean = 4, what is the probability that the number of…

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Q: Compute the mean and variance of a random variable whose distribution is uniform on the interval [a,…

A: Given: Consider a random variable X following Uniform distribution with the range a and b. The…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given : Suppose that the duration of a particular type of criminal trial is known to be normally…

Q: According to the Central Limit Theorem, what is the standard deviation of the approximate…

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Q: The standard normal distribution can be used to calculate probabilities for a normally distributed…

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Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7.…

A: It is given that, the random variable X is normally distributed with mean μ=50 and standard…

Q: suppose the walking step lengths of an adult males are normally distributed with a mean of 2.7 feet…

A: Given that  Mean=μ=2.7 Standard deviation=σ=0.3 Sample size=n=70 X~Normal(μ=2.7,σ=0.3)

Q: In a poisson distributed character, the mean number of events is 6. Find the variance.

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Q: Since the sampling distribution of X possesses a different standard deviation value from X, it…

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Q: Find the mean variance and standard deviation for the number of heads when 10 coins are tossed.

A: When a coin is tossed it can it can land either head or tail. Therefore, the number of outcomes is…

Q: Find an estimate of the 'pooled variance' S2,, which estimates the common variance o 2 Round off all…

A: Given, First Group Second Group 42 38 39 42 38 56 60 64 41 68   69   62…

Q: A random sample of size 16 is to be taken from a normal population having mean 100 and variance 4.…

A: Sample size = 16 Mean = 100 Variance = 4

Q: As the size of a simple random sample is increased, the standard error of the sample mean will…

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Q: Find the F-test statistic to test the claim that the population variances are equal. Both…

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Q: What is the Discrete Variance when sample size is 82 with a probability of 0.82?

A: Formula for variance : Variance = np(1-p)

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: An X random variable comes from any distribution with 21 averages and 17 variances. What is the…

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Q: If a distribution is normal with mean 10 and standard deviation 3, then the mode is also 10. True O…

A: Given data Normal distribution with mean = 10 Sd= 3 Then the mode will also 10 We have to identify…

Q: Assume the random variable X is normally distributed with mean 50 and standard deviation of 7.  What…

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Q: The diameter of a pipe is normally distributed, with a mean of 0.7 inch and a variance of 0.0009.…

A:

Q: The long-distance calls made by the employees of a company are normally distributed with a mean of…

A: Given that μ=6.3,σ=2.2 Find P ( x < 4 ) =? P ( 5 <x < 10 ) =? P ( x > 7 ) =?

Q: The diameter of a pipe is normally distributed, with a mean of 0.6 inch and a variance of 0.0009.…

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Q: The weight of items produced by a machine is normally distributed with a mean of 8 ounces and…

A: It is given that a machine is normally distributed with the mean weight of the items is 8 ounces and…

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!