SOLVED Determine the value k, so that P(Z
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SOLUTION: Find k such that p(z > k) = 0.85 How do I draw the standard normal distribution for this problem?
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Determine the conditional probability P (X>2.5 | X \leq 4) Suppose Z is the standard normal distribution. Illustrate with a sketch and find k such that: P (Z \leqslant k)=0.81 (Z ⩽ k) = 0.81. According to Chebyshev's theorem, the probability that any random variable assumes a value within 3 standard deviations of the mean is at least 8/9.
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k~~1.96. We're looking for a bound k such that the area under the standard normal curve between -k and k is 0.95. This means that the tails should have the remaining 0.05 area, and since the tails are symmetric, the upper tail should have area 0.025. And if the upper tail has area 0.025, then the total area not in that upper tail should be the other 0.975.
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To find the value k for P(k < Z) = .0089, we first need to find the complement of the probability, which is P(Z < k) = 1 - .0089 = .9911. Then, we look up the z-score in a standard normal distribution table or use a calculator. In this case, we find that k ≈ 2.36. Step 5/6 5. To find Z..0125, we look up the z-score in a standard normal.
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Solved 31 Given a standard normal distribution, find the
Using the p-value to z-score calculator; What is a "Z score" P value to Z-score conversion table Using the p-value to z-score calculator. If you have a p-value statistic for a given set of data and want to convert it to its corresponding Z score this P to Z calculator will help you accomplish that. Simply enter the P-value and choose whether it was computed for a one-tailed or two-tailed.
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Sal used a simple shortcut. A z table indicates the proportion of the area of the distribution TO THE LEFT of a given z score. Given that normal distributions are by definition symmetric around their means, if we're looking for the area of just one tail in the positives, we can either subtract the proportion given by the z table from 1, or simply look at the corresponding negative z-score.
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Statistics and Probability questions and answers. 4) (3 pts) Given a standard normal distribution, find the value of k such that P (k < Z< -0.18) = 0.4197.
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