Find the z value to the left of the mean so that 99.09% of the area under the distribution curve lies to the right of it. Use © Cumulative Normal Distribution Table and enter the answer to 2 decimal places.

Q: If the graph of the normal distribution has a mean of 2 and the standard deviation of 0.5, the are…

A: Yes, the area under the graph is equal to 1 for a normal distribution with a mean of 2 and a…

Q: The healing time for a broken clavicle is from a Normal distribution with a mean of 41 days and a…

A: Given,mean(μ)=41standard deviation(σ)=6

Q: The length of human pregnancies from conception to birth approximates a normal distribution with a…

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Q: An automatic filling machine in a factory fills bottles of ketchup with a mean of 15.3 oz and a…

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Q: Lisa has collected data to find that the number of pages per book on a book shelf has a normal…

A: Given : Let X : Number of pages per book Mean (μ) = 190Standard deviation (σ) = 25

Q: An instructor has found that the time spent by students on a particular homework assignment follows…

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Q: Find the probability of getting 2 to 5 diamonds using normal distribution.

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Q: What is the probability that a randomly selected group of 16 observations averages less than 15?…

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Q: Assume that the time that will be taken to complete this assignment is a random variable with a…

A: μ=8 hoursσ=1 hour The z-score is given by, z=x-μσ

Q: The probability that the sample proportion surviving for at least 3 years will be less than 67% isO…

A: Given P=0.73 q=0.27 n=80

Q: The time between arrivals of customers at the drive-up window of a bank follows an exponential…

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Q: What probability density function describes the normal distribu-tion? What are some examples…

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Q: Suppose that a company manufactures a tire with a lifetime that approximately follows a normal…

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Q: Suppose you repeatedly draw samples of size 100 and calculate their mean. Applying the central limit…

A: Sampling distribution of sample mean: If the population is normally distributed then the sampling…

Q: it be appropriate to use a normal distribution to approxi- mate the binomial distribution?

A: for normal distribution to approxiamte  the binomial distribution  np ≥10  and n(1-p)≥10

Q: Can a normal distribution always be used to approximate a binomial distribution?

A: we can use normal distribution to approximate a binomial t

Q: The lifespan of a certain insect is believed to follow a normal distribution

A: Life span = X and follows normal with μ=98 and σ=7   We know that (x-μ)/σ follows N(0,1) so,…

Q: The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds. What is…

A: Given,mean(μ)=7.45standard deviation(σ)=3.6

Q: The lifespan of a certain insect is believed to follow a normal distribution with a mean of 98 days…

A: # Given : lifespan of certain insect is believed to follow normal distribution with mean=98 and…

Q: Can we find the area of the standard normal distribution using calculators only? If yes, How?

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Q: A boy is trying to climb a slippery pole and finds that he can climb to a height of at least 1-850 m…

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Q: The lengths of human pregnancies are approximately normally distributed, with mean μ=266 days and…

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Q: Lalamove delivery service in Metro Manila has a mean delivery time of 55 minutes with a standard…

A: Given,mean(μ)=55standard deviation(σ)=20

Q: what percent of the area under the curve of the standard normal distribution is between z= -1.33 and…

A: To find the percent of area under the curve of the standard normal distribution between z = -1.33…

Q: The average number of cycles of charging of rechargeable batteries manufactures in a certain factory…

A: Given information- Population mean, µ = 485 Population standard deviation, σ = 32 Let X be the…

Q: Define multivariate normal asymptotic distribution?

A: Standard or Gaussian distribution is one of the most common distributions in statistics. It has two…

Q: Find an upper bound on the probability that a standard normal random variable takes a value more…

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Q: For a normal distribution, find the z- score for which a total probability of 0.71 falls more than z…

A: Solution-: Given: Probability of 0.71  falls more than z standard deviations (in either direction)…

Q: Find the probability that a normal variable takes on values within 0.5 standard deviations of its…

A: To find the probability that a normal variable takes on values within 0.5 standard deviations of its…

Q: For a standard normal distribution, find the probability that a value is greater than 1.2 standard…

A: Obtain the probability that a value is greater than 1.2 standard deviations above the mean. The…

Q: The mean pregnancy length of new mothers in a population is 267 days with a standard deviation of 10…

A: The pregnancy length of new mothers is normally distributed with mean 267 days and standard…

Q: The time that it takes a randomly selected job applicant to perform a certain task has a…

A: The given information is that, time taken by a randomly selected job applicant to perform a certain…

Q: The customer demand of a product follows a Normal distribution. Given the standard deviation of…

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Q: The tread life of a particular brand of tire is a random variable best described by a normal…

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Q: the mean production of workers in a certain factory is 10 products per hour with a standard…

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Q: PLEASE MAKE A NORMAL DISTRIBUTION CURVE FOR THIS. DIGITAL ONLY NOT HANDWRITTEN

A: GivenMean(μ)=65.33standard deviation(σ)=31.59sample size(n)=7

Q: A skewed population of scores can be transformed to the standard normal distribution by converting…

A: Z scores: The Z scores just implies how much standard deviation the data value is away from the mean…

Q: What percent of the area under the curve of the standard normal distribution is outside the interval…

A: Given that, Z interval = [-1.4, 1.4]

Q: Compute the cumulative distribution function for the life time of the sensor. What is the…

A: The cumulative distribution function is defined as F(x) = P(X ≤ x)

Q: when can a normal distribution be used to approximate a binomial distribution?

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: The processing time for the robogate has a normal distribution with mean 23 sec and standard…

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Q: For a standard normal distribution, find the probability that a value is greater than 0.26 standard…

A: Formula for z score of the score X is, z=X-μσ

Q: What percent of the area under the curve of the standard normal distribution is outside the interval…

A: Area outside z=[-0.16,0.16]   Area outside P(-0.16 ≤ z ≤ 0.16 )

Q: A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 75.5,…

Q: The tread life of a particular brand of tire is a random variable best described by a normal…

A: From the provided information, Mean (µ) = 60,000 miles Standard deviation (σ) = 1400 miles Let X be…

Q: A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food…

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Q: What is the probability of sampling a set of 87 oak trees and finding their mean to differ from the…

A: Let, X has normal distribution with mean 4.000 and standard deviation is 0.375 Our aim is to find…

Q: Find the​ Z-scores that separate the middle 22​% of the distribution from the area in the tails of…

A: Let z be the standard normally distributed random variable with mean 0 and standard deviation 1

Q: The number of hits on a certain website follows a Poisson distribution with a mean rate of 8 per…

A: Given Information: The number of hits on a certain website follows a Poisson distribution with a…

Q: The tread life of a particular brand of tire is a random variable best described by a normal…

A: