Suppose that X has a Poisson distribution with h=80. Find the probability P(x is less than or equal to 80). a. Find the probability P(x is less than or equal to 80) based on the corresponding Poisson distribution. b. Is the normal approximation reasonable?

Q: IEX is a Poisson distribution variable, then its moment generating function is e^(e' -1).

A:

Q: Suppose Y has a uniform pdf over the interval [3,5]. Find its (1) first quartile, its (2) median,…

A:

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the…

A: Given,  X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. We have to find…

Q: 2. Let X have a Poisson distribution with mean of 4. Find a) P(23) c) P(X<3)

A: We have to find given probabilities.

Q: e. A person working for the transportation department begins counting arrivals atthe tollbooth at 8…

A:

Q: If X has Poisson distribution with mean 2. what is P(X<3)? Select one: a. 0.3618 b. o.6766 C. 1.4235…

A:

Q: Consider a Uniform distribution defined as 2 < x < 8, fx(x) = }6 .03B е. w. Find E (-).

A: Given,

Q: 2. Suppose that X has a hypergeometric distribution with N= 2,000, K= 800, and n= 200. Find the…

A: Solution is given below

Q: Assume that Y denotes the number of bacteria per cubic centimeter in a particular liquid and that Y…

A: 3.3 From the given information, Y denotes the number of bacteria per cubic centimeter in a…

Q: The U.S. divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate…

A: Hi, thanks for posting the question. Since there are more than three sub parts posted in the…

Q: (b) Fit a Poisson distribution to the following table: 1 143 and calculate the theoretical…

A: Given data : x 0 1 2 3 4 5 6 f 103 143 98 42 8 4 2 P(r) = mr e-mr! m = ∑fi xifi     =…

Q: Suppose X given N has a binomial distribution with p=0.4 and N has a Poisson distribution with mean…

A: X given  N has a Binomial distribution. P=0.4,mean(n)=10. E(X)=np.

Q: If np(is greater than or equal to)5, estimate P(fewer than 5) with n=13 and p=0.4 by using the…

A:

Q: Given that x has a Poisson distribution with u = 1.6, what is the probability that x = 3? P(3)…

A: Given that,X follows Poisson distributionMean = 1.6

Q: Suppose that one in six smartphone users have fallen prey to cyber-attack. We use a sample of 224…

A:

Q: Suppose that a random variable X has a hypergeometric distribution with parameters n = 36, N = 50,…

A:

Q: If X has a uniform distribution on the interval from 0 to 10, then what is P[X+> = 7]?

A: Let X has a uniform distribution on the interval from 0 to 10, then P[X+(10/X)&gt;7] = ?

Q: (d) If a random variate has a Poisson distribution such that P(2) = P(3), determine P(5).

A: Solution:

Q: For a Poisson Distribution, if mean(m) = 1, then P(1) is?

A: The mean of the distribution is 1

Q: Assume thoat X is a normnally distributed random variable with a mean ofu and a standard deviation…

A: Given that mean is μ. And standard deviation is: σ=0.15 PX≤2=0.0125 According to formula:…

Q: Find the z- score that has 74.5% of the distribution's are to its right

A:

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the…

A:

Q: 2. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the…

A: X has a hypergeometric distribution N=2000 K=800 n=200 P(X&lt;=70)=? For hypergeometric and normal…

Q: If ‘λ’ is the mean of Poisson Distribution, the P(0) is given by ___________ a) e − λ b) e λ c) e d)…

A: Solution: Let X be the Poisson random variable. From the given information, X follows Poisson…

Q: Given that x has a Poisson distribution with u=1.7, what is the probability that x = 4? P(4) (Round…

A:

Q: If for a Poisson distribution 2P(X=0)+P(X=2)=2P(X=1), what is the mean of the distribution:

A: From the provided information, 2P(X=0) + P (X=2) = 2 P(X=1) Here X is a random variable follows…

Q: 2. Suppose that X has a hypergeometric distribution with N= 2,000, K = 800, and n= 200. Find the…

A: Hyper geometric distribution : The hypergeometric distribution may be a separate likelihood…

Q: If X has the Poisson distribution with P(X=1) = 2P(X=2), then P(X ≥ 2) is approximately:

A: Obtain the probability that X greater than equals 2. The probability that X greater than equals 2is…

Q: Consider a sample size of 15 from a normal distribution. Find a value of t such that  only 1% of all…

A: The sample size (n) is 15.

Q: The central limit theorem states that if all possible random samples of sizeNare drawnfrom a…

A: Central limit Theorem: If we have a large enough sample , the distribution of sample is…

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A:

Q: ) is greater than or equal to 5, Estimate (P) at least 3 if n=13 and p=0.5 using normal distribution…

A: The mean is computed as: The standard deviation is computed as:

Q: 2a)    The number of flowers per square meter in Sarah’s garden has a Poisson distribution with mean…

A: GivenThe number of flowers per square meter in Sarah's garden follow Poisson distribution with mean…

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K= 800, and n= 200. Find the…

A:

Q: If np&gt;5 and nq&gt;5, estimate P(fewer than 8) with n = 14 and p = 0.6 by using the normal…

A: From the given information, Sample size (n) = 14 p=0.6 It has been given that, np &lt; 5 or nq &lt;5…

Q: Suppose that prices of a certain model of new homes are normally distributed with a mean of…

A: a. Empirical rule: The probability that the observation under the normal curve lies within 1…

Q: The standard deviation of the sampling distribution of x, denoted is called the of the ..... The…

A: Given : Formula forsstandard error is

Q: 27. The normal approximation to the Poisson distribution X with mean is X ~ N() X ~ N(4) c N(4) D X~…

A: for Poisson distribution X mean λ=14

Q: Suppose X has a Poisson distribution with a mean of 4. Determine the following probabilities. Round…

A: Given data, X has a poisson distribution with mean 4

Q: Suppose that X follows a binomial distribution with n = 100 and p = 0.1. If F(x) is the cumulative…

A: Since n = 100 is large X can be approximated to normal distribution with parameters.

Q: Each of 180 newly manufactured items is examined and the number of scratches per item is recorded…

A: Given: n = 180 Number of scratches per item 0 1 2 3 4 5 6 7 Frequency 23 39 39 38 16 9 13 3…

Q: The moment generating function of the negative binomial distribution is given by pe' m, ()=1-ge 1-…

A:

Q: Suppose that the number of traffic accidents, N, in a given period of time is distributed as a…

A:

Q: Suppose that the conditional distribution of Y given X = x is Poisson with mean A = E(Y|æ) = x, and…

A: Given that the conditional distribution of Y given X = x is Poisson with mean (lambda) = E(Y | x) =…

Q: If np is greater than or equal to 5 and nq is greater than or equal to 5, estimate P(at least 7) n…

A: Given,          n=13          P=0.6    and q=1-p           q=1-0.6=0.4       nP=13×0.6=7.8⩾5…

Q: Consider that the number of flaws occuring in each 100 feet of material follows the Poisson…

A: GivenAverage no.of flaws occurring in each 100 feet of material is 2average no. of flaws in each 250…

Q: Suppose that X follows a poisson distribution with parameter λ=1.416 . P(X≥0)≅?

A: Suppose that X follows a Poisson distribution with parameter λ=1.416

Q: Suppose the number X of tornadoes observed in a particular region during a 1-year period has a…

A: From the given information, The number of X of tornadoes observed in a particular region during 1…

Q: The number of calls an office receives follows a Poisson distribution with mean 10 calls per hour.…

A: Solution: Let X be the number of calls an office receives in 30 minutes. From the given information,…

Q: If np is greater than 5 and nq is greater than 5, estimate P(at least 6) with n=13 and p=0.6 by…

A: Given information- p = 0.6 n = 13   So, np = 13 × 0.6 = 7.8 Which is greater than 5. And, nq = 13 ×…