What is the formula of the Kth percentile of X when the z-score is known?Question 1Answera.k=μ+σb.k=μ-σc.k=μ+z*σ

Generally speaking, the kth percentile is a value at or below which at least k percent of the observations lie. Group of answer choicesTrueFalse

Given a normally distributed random variable X with a µ=5 and σ=2, find the 30th percentile.Question 4Answera.1.24b.2.41c.3.95d.6.05

22. Given 𝜇 = 180 and 𝜎 = 15 in a college entrance examination, find the corresponding z-value ofthe score of the students if 𝑋 = 150.A. 2 B. -2 C. 2.5 D. -2.5______23. From the given in number 12, what is the z-value if X = 200?A. 1.33 B. 1.66 C. 1.99 D. 2.22______24. What is the value of 70th percentile?A. 0.13 B. 0.23 C. 0.52 D. 0.71______25. What is the value of 82nd percentile?A. 0.92 B. 0.83 C. 0.53 D. 0.23II. TRUE OR FALSE. Write TRUE if the statement is correct and FALSE if otherwise. Write your answer in thespace provided before the number. (10 points)___________ 1. The normal distribution characterizes what is typical for a given set of data.___________ 2. All the values for a normal variable are close to the mean.___________ 3. A normal distribution has a mean that is equal to the standard deviation.___________ 4. The normal curve is a bell-shaped curve symmetric about the mean.___________ 5. In a normal distribution, the mean, median, and mode are the same.___________ 6. The standard deviation precisely describes the spread of the normal curve.___________ 7. A normal curve gradually tapers off to values closer and closer to 0 on both sides of the curve.___________ 8. A larger mean value corresponds to a wider normal curve.___________ 9. The maximum point of a normal curve occurs at the median of the distribution.___________ 10. The area under the normal curve to the right of the mean is 0.5

A normal distribution has mean =μ56 and standard deviation =σ20. Find and interpret the z-score for =x50.The z-score for =x50 is . So 50 is standard deviations ▼(Choose one) the mean =μ56.

Given a normally distributed random variable X with a µ=5.3 and σ=2.1, find 90th percentile.Question 2Answera.8.89b.7.07c.7.99d.4.32