If np> 5 and nq > 5, estimate P(more than 9) qith n=12 and p = 0.7 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: Assume that a procedure yields a binomial distribution with n trials and the probability of success…

A: From the given information, n=1,500 and p=3/4 Binomial approximation to normal distribution…

Q: Assume the random variable x is normally distributed with mean u = 84 and standard deviation o = 5.…

A: Given that, Mean = 84 Standard deviation = 5

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: The average teacher's salary in North Dakota is  $35,441 . Assume a normal distribution with…

A: Given  Mean=35441, standard deviations=5100, n=60

Q: Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O…

A: The sampling distribution of the sample proportion is approximately normal with at least 5 expected…

Q: If np is greater than/or = to 5 and nq is greater than/or = 5, Estimate P(fewer than 7) with n=13…

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Q: Use the normal approximation to the binomial to find the probability for n=,10 p=0.5 and X≥8. Round…

A:

Q: 490 trials and the probability of succ Assume that a procedure yields a binomial distribution with n…

A: Given that n=490 and p=0.58 Mean of the binomial distribution, Mu=n*p=490*0.58=248.2 Standard…

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: Suppose times, in minutes for running marathons have an unknown distribution with mean 296 and…

A: According to the central limit theorem, the sampling distribution of the sample mean is…

Q: Supppose that IQ scores in one region  are normally distributed witha standard deviation of 18.…

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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: Use a normal approximation to find the probability of the indicated number of voters. In this​ case,…

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Q: To apply the binomial distribution properly (P+Q) must equal 1.00. a. False O b. True O c.…

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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: The random variable X follows a normal distribution ?(20, 102). (a) Find P(10 30 ).

A: Normal probability is a type of continuous probability distribution that can take random values on…

Q: 10. Suppose that X . . , X, form a random sample from the normal distribution with mean 0 and…

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Q: The normal approximation for the binomial distribution has μ = O qn Onpq Opn O V npa

A: Given, Binomial distribution tends to normal distribution when sample is large.

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: Suppose 100 independent random x values are each distributed N(1,9) – normal distribution with a…

A: Given that.   X~N( 1 ,9)   μ=1     , ?=3   Z-score =( x - μ )/?   NOTE:- According to bartleby…

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: Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution with 3 =…

A:

Q: Assume that the sample is a sirmple random sarmple obtained from a normally distributed population…

A: In this case the population follows normal distribution, which is symmetric.

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: 40% of Americans who travel by car look for gas stations and grocery stores that are nearby or…

A: Given n= number of trials =25 p= probability of success=40%=0.40 The random variable X be the number…

Q: the length of human pregnancies is right skew distributed with an average pregnancy length of 266…

A: Given data, μ=266σ=16n=49

Q: S. Suppose that X has a Poisson distribution with h= 80. Find the probability P(X< 70) based on the…

A: given: random variable x follow Poisson distribution with parameter h=80  Then to find probability…

Q: The binomial distribution is used when there are exactly two mutally exclusive outcomes of a trial.…

A: The following information has been given: The probability of success is p=0.5. The probability of…

Q: What is the maximum waiting time for a customer to receive her meal if she is in the 10% of…

A: here given , Customers at the restaurant have to wait an average of 25 minutes before they receive…

Q: O Part (a) In words, define the random variable X. O the mean time of all trials the length, in…

A:

Q: Suppose that X is a normally distributed with mean 29 and standard deviation is 8 find the given…

A: Population mean, μ=29 Population standard deviation, σ=8

Q: Suppose that x is a normally distributed with mean 36 and standard deviation 18, find the given…

A: Answer: From the given data, Mean (μ) = 36 Standard deviation(σ) = 18 X follows normal distribution,

Q: Use the binomial table and graph for n = 5, p = 0.50 to answer the following:  Now use the binomial…

A: Given:

Q: Suppose that X is a normally distributed with mean 36 and standard deviation 18 find the given…

A: The mean of the distribution is .The standard deviation of the distribution is .The random variable…

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: given that the binomial distribution with 84 trials and a probability of success of 0.18 can be…

A: Given that,   n= 84, p =0.18 The values of mean and standard deviation are,

Q: If X ~B(80,0.2), use the normal distribution to approximate the binomial distribution for: (ii)…

A:

Q: Suppose that x is a normally distributed with mean 32 and standard deviation 16, find the given…

A: Answer: From the given data, X is a normal random variable with Mean μ = 32 Standard deviation σ =…