If np5 and nq  5​, estimate P (fewer than 5) with n=14 and p=0.4 by using the normal distribution as an approximation to the binomial​distribution; if np < 5 or nq < 5, then state that the normal approximation is not suitable

Q: If np ≥ 5 and nq ≥ 5, estimate P(more than 9) with n =13 and p=0.6 by using the normal distribution…

A: Normal approximation to the binomial: From the given information, it is clear that sample size, n =…

Q: Suppose that X is a normally distributed with a mean is 26 and standard deviation is 8 find the…

A: The Z-score for the random variable X equals 28 is obtained below as follows:   From the…

Q: Suppose that a brand of lightbulb lasts on average 2069 hours with a standard deviation of 236…

A: Given : μ = 2069σ = 236 P1592&lt;X&lt;2515 =P1592-2069236&lt;x-2069236&lt;2515-2069236…

Q: If np 25 and ng25, estimate P(fewer than 6) with n= 14 and p= 0.5 by using the normal distribution…

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Q: Suppose that X is a normally distributed with a mean 45 and standard deviation 13 find the given…

A: Answer: From the given data, X is a normally distributed random variable. Mean μ = 45 Standard…

Q: 4. NT follows an extended truncated negative binomial distribution. You are given part of its pmf:…

A: Given: NT follows extended negative binomial distribution pT0= 0 pT1= 0.6195 pT2=0.1858 pT3=0.0836

Q: If np greater than or equals 5 and nq greater than or equals 5 ​,estimate Upper P left parenthesis…

A: Given that n =13,p =0.6 p(x&lt; 5 ) =?

Q: iid 1. Let Y1,..., Yn approximation to the binomial distribution. You may find the following applets…

A: Given: Standardized sample mean Z:   CDF F(c):

Q: If np>5 and nq <5, estimate P(fewer than 4) with n=14 and p= 0.5 by using the normal distribution as…

A: For a Binomial random variable X can be approximated to Normal, i.e…

Q: Evaluate P(7≥X≥3) for binomial variable with n=12 p=0.3 usig normal curve. show complete solution

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Q: Draw 100 random samples from a binomial distribution with parameters n = 20 and p = .4. Consider an…

A: Given that random sample is 100 and n=20 and p=0.4  then using r code generate 100 sample, &gt;…

Q: If np ≥ 5 and nq ≥​ 5, estimate P(more than 8) with n=12 and p=0.7 by using the normal distribution…

A: From the provided information, Sample size (n) = 12 Probability (p) = 0.7

Q: Suppose that X~N(500,100). You're considering taking a simple random sample and calculating the…

A: We have to find standard deviation for sample..

Q: If np 25 and nq 25, estimate P(fewer than 3) with n= 13 and p = 0.5 by using the normal distribution…

A: given data, n=13p=0.5we check the binomial distribution follows approximately  normal ditribution…

Q: Suppose that X is a normally distributed with a mean 28 and standard deviation 8 find the given…

A: Answer: From the given data, Mean (μ) = 28 Standard deviation(σ) = 8 X follows normal…

Q: ≥5 and nq≥5​, estimate P(fewer than 5) with n=13 and p=0.6 by using the normal distribution as an…

A: Given : n=13 and p=0.6

Q: If np 5 and nq s5, estimate P(fewer than 3) with n=D14 and p 0.4 by using the normal distribution as…

A: Identify the correct option to obtain the probability that fewer than 3. The correct option is…

Q: Assume that in this question adults spend an average of 104.1 minutes with a standard deviation of…

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Q: The distribution of the ages of all IRSC students Is known to be normally distributed with a mean of…

A:

Q: If np 2 5 and ng 2 5, estimate P(fewer than 7) with n= 14 and p = 0.5 by using the normal…

A:

Q: If np 25 and nq25, estimate P(fewer than 8) with n= 14 and p=0.6 by using the normal distribution as…

A: Identify the correct option. Since, the value for  and  are both greater than 5 which means that…

Q: An assembly line has 17 machines and the number of machines X which fails to work is modeled by the…

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Q: Suppose that we want to use the normal approxi-mation to the binomial distribution to determine b(1;…

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Q: In a recent poll, 45% of survey respondents said that, if they only had one child, they would prefer…

A: The mean of the binomial random variable obtained by the formula μ=np, where (n) is the number of…

Q: If np 25 and nq 2 5, estimate P(at least 2) with n=13 and p= 0.4 by using the normal distribution as…

A: Given Information: n = 13 p = 0.4 Check Requirements: Requirements for a normal approximation of the…

Q: If np 25 and nq25, estimate P(more than 5) with n= 12 and p= 0.3 by using the normal distribution as…

A: The requirements to check whether the normal distribution can be used to approximate the binomial…

Q: 2. Suppose that the number of trees, X, in a randomly selected one acre prot of land has mean u= 50…

A: Given that, μ=50,σ=14,n=49 (a) The mean and standard deviation of the sampling distribution of the…

Q: Suppose that x is a normally distributed with a mean 36 and standard deviation 16 find the given…

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Q: If no 25 and nq 25, estimate P(fewer than 7) with n 14 rse approximation is not suitable. and p 0.6…

A: The binomial distribution can be approximated to normal if np is greater than 5 and nq is also…

Q: If np 25 and ng 2 5, estimate P(at least 8) with n= 13 and p = 0.5 by using the normal distribution…

A:

Q: For a package delivery business, historical data shows that delivery times follow a Normal…

A: Given that  X~N(μ= 60 , σ= 10 ) μ= 60 , σ= 10

Q: Suppose that X - Binomial (100, p). Consider the hypothesis test Ho : p = 0.5 versus HA: p0. Define…

A: From the given information, H0:p=0.5HA: p≠0.5 Rejection region: RR=x-50&gt;10 a) Consider,…

Q: Suppose that X is a normally distributed with a mean 33 and standard deviation 12 find the given…

A: Answer: From the given data, Mean (μ) = 33 Standard deviation(σ) = 12 X follows normal distribution,…

Q: Use the finite population correction factor since the sample size is more than 5% of the population…

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Q: If np > or equal 5 and nq >equal 5, estimate P (fewer than 5) with n= 14 and P=0.5 by using the…

A:

Q: Suppose that X is a normally distributed with mean 45 and standard deviation 10 find the given…

A: Answer: From the given data, Mean (μ) = 45 Standard deviation(σ) = 10 X follows normal…

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 X - B(n=10, p=.3) using the binomial distribution table we have: P(X < 4) is: .3828 .8497…

A: Given p= 0.3 So, 1-p= 1-0.3= 0.7

Q: If np 25 and nq25, estimate P(more than 6) with n= 14 and p=0.3 by using the normal distribution as…

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Q: A random variable X is binomially distributed with mean 15 and variance 14.7. Determine the values…

A: We have to find given probability using Poisson approximation of binomial.

Q: If np 25 and nq 2 5, estimate P(fewer than 6) with n = 13 and p = 0.5 by using the normal…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.