Suppose the random variable X is normally distributed with mean 74 and standard deviation 7. Let Z be distríbuted according to the standard normal distribution. Then P(65.18 < X < 86.11) is the same as P < Z < Round to 2 decimal places. Add Work

Q: Let XX represent the full height of certain species of tree. Assume that XX is normally distributed…

A: Solution

Q: A random sample of 16 observations is to be drawn from a Normal distribution having mean 11 and…

A: Let, X: A random sample of 16 observations drawn from the normal distribution.  X~N(µ=11, σ=3)

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…

A: Given, Assume that females have pulse rates that are normally distributed with a mean of μ=74.0…

Q: For a standard normal curve, find the probability a value has a z-score less than -2.

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: Let x be a random variable that represents the level of glucose in the blood (milligrams per…

A:

Q: ume that the random variable X is normally distributed with mean u=70 and standard deviation 9. Find…

A: Given data,Mean μ=70sd    σ=9Find the 40th percentile for X

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Draw the normal curve and shade the area of 0.0581 to the right of c under the normal curve.

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per…

A: Given data, μ=76.0  σ=12.5  P(X&lt;83)=?

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A:

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

A: Z is known as standard normal variable and it's value is obtained using standard Normal table

Q: assume that X is normally distributed with a mean 135 and standard deviation of 45. find the…

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Q: Assume that the mean systolic blood pressure of normal adults is 120millimetersof mercury (mmHg) and…

A: Here we want to find the given probability using normal distribution.

Q: The average number of moves a person makes in his or her lifetime is 12 and the standard deviation…

A: GivenMean(μ)=12standard deviation(σ)=3.5

Q: The useful life of a bicycle bought at Basement-mart fits a log normal distribution with a mean of…

A: Mean ()=16Standard deviation ()=10.36Sample size(n)=60

Q: Estimate​ P(6) for n=18 and p=0.3 by using the normal distribution as an approximation to the…

A: Given that, Sample size, n = 18 Probability, p = 0.3

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: The mean of the sampling distribution is, μx¯=μ=101 Thus, the mean of the sampling distribution is…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Given, Mean = 0 Standard deviation = 1   The objective is to find the probability that a given score…

Q: Let x be a continuous random variable that is normally distributed with a mean of 57 and a standard…

A: We have given that  Let x be a continuous random variable that is normally distributed with a mean…

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

A: It is given that the mean is 50 and the standard deviation is 7.

Q: The mean systolic blook pressure is 121 with a standard deviation of 16. Define the random variable…

A: The mean systolic blood pressure is µ=121 and its standard deviation is 16.

Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 4. Determine…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: The random variable X follows binomial distribution. The population mean is 105. The population…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15.  When selecting…

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Q: 7. Find the 81st percentile.     The 81st percentile is   ​(Round to two decimal places as​ n

A: Given that x is normally distributed with mean and SD(standard deviation) is μ=50σ=7

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(-…

A: The question is about std. normal distribution Given : z ~N ( 0, 1 ) P ( -b &lt; z &lt; b ) = 0.9008…

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

A: In question, Given that, X is number of days for a randomly selected trials and normally distributed…

Q: Let x be a random variable that follows normal distribution with mean 5 and variance 16. Find P (2…

A: Let X denote the random variable that follows normal distribution with mean μ=5 and variance σ2=16…

Q: Assume that the amount of weight that male college students gain during their freshman year are…

A: NNote: this probability value calculated from standard normal distribution table

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population…

A: Given : Confidence level : 1-α=0.99 Margin of error : E=8 Population standard deviation : σ=10

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A:

Q: Use the formula to find the standard error of the distribution of differences in sample means,…

A: Given   Samples of size 40 from Population 1 with mean 3.7 and standard deviation 1.9 and samples of…

Q: The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with…

A: Given that  The times to pop a regular bag of microwave popcorn without burning it are Normally…

Q: Let x be a random variable that represents white blood cell count per cubic millimeter of whole…

A: Comments: Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: a) Using the f(x) above and the R integrate function calculate the expected value of X. b) Using the…

A: X is a random variable with an exponential distribution with rate .The pdf of X is  for , where…

Q: Assume a distribution with mean of 50 and a standard devivation of 12.  For an x-value of 65, the…

A: Given information- Population mean, µ = 50 Population standard deviation, σ = 12