The center of a normal curve is the mean of the distribution. O is the standard deviation. O cannot be negative. is always equal to zero.
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A: Given Data: Mean=26 SD=4.2 X~ Normal (26, 4.22)
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A: Excel formula: =NORMINV(0.305,0,1)=-0.5100
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A: Given,mean(μ)=85.8standard deviation(σ)=4.89z=2.75
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A: Given: μ=6, σ=2 The corresponding z-values needed to be computed are:
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A: Given data,Mean μ=0.002sd σ=0.0004
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A: A normal distribution (X) has a mean of 100 and a standard deviation of 10.
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A: Introduction: Denote X as the random variable representing the score of a randomly selected student…
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A: Given: μ=6, σ=2 The corresponding z-values needed to be computed are: Thus,
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A: Given: Let X be the SAT test scores Mean(X)=500 SD(X)=100 X~ Normal(500, 1002)
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- For a normal distribution, find the probability that falls within 0.47 standard deviations of the mean. (Round to two decimal places as needed.)A normal distribution has a mean of 103 and a standard deviation of 7. Find the z-score for a data value of 100. Round to two decimal placesA normal distribution has a mean of 85.5 and a standard deviation of 4.87. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z = 0.85
- A normal distribution has a mean of 144 and a standard deviation of 8. Find the z-score for a data value of 137. Round to two decimal placesRespond ASAPSelect all the properties that must be true of a normal distribution. The distribution is centered at the mean. All of the data in the distribution fits within 3 standard deviations of the center of the curve. The distribution is determined by the median and standard deviation. The distribution is bell-shaped. The total area under the normal distribution curve is 1 (or 100%). The area under the normal distribution curve and within 1 standard deviation of the center is about 68% of the total area under the curve.
- Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 144 pages if the mean is 186 pages and the standard deviation is 21 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) ? = 26; ? = 3.6 P(x ≥ 30) =Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) H = 107; o = 12 P(x > 120) =
- A normal distribution has a mean of 85.3 and a standard deviation of 4.83. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z = 0.65Hayley has 120 apple trees of a certain variety in her orchard. She estimates the population of apples has a mean of 9 seeds per apple with a standard deviation of 2 seeds. The distribution in the number of seeds per apple has a shape that is approximately normal. The table gives the standard normal distribution. What percent of Hayley's apples have between 5 and 11 seeds? Enter your answer in the box rounded to the tenths place.A normal distribution has a mean of 85.2 and a standard deviation of 4.87. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z = −3.41