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Q1-. A normal distribution has a mean of 15 and a standard deviation of 2. Find...

Q1-. A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile. Round your answer to two decimal places.

Q2-.Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a standard deviation of 100, what is Tyrell's math score? Round your answer to the nearest whole number.

Q3-.Find the z-score that cuts off an area of 0.9842 to the left of the z-score. The values in the table below represent areas to the left of the specified z-score. Round your answer to two decimal places.

z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
2.0 0.9772 0.9778 0.9783

0.9788

0.9793 0.9798 0.9803 0.9808 0.9812 0.9817
2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857
2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890
2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916


Q4-. Find the area to the right of the z-score 0.41 under the standard normal curve.

Q5-.Find the area to the right of the z-score 1.40 and to the left of the z-score 1.58 under the standard normal curve.

Q6-. Determine the area under the standard normal curve that lies to the right of the z-score 0.05 and to the left of the z-score 0.25.

Q7-.A normal distribution is observed from the times to complete an obstacle course. The mean is 69 seconds and the standard deviation is 6 seconds. Using the Empirical Rule, what is the probability that a randomly selected finishing time is greater than 87 seconds? Provide the final answer as a percent rounded to two decimal places.

Q8-. A normal distribution is observed from the body weights of the forty students in a class. If the mean is 125 pounds and the standard deviation is 9 pounds, what is the probability that a randomly selected student has a body weight between 116and 134 pounds? Use the empirical rule. Provide the final answer as a percent.

Q9-.Mr. Benson's statistics test scores are normally distributed with a mean score of 85 (μ) and a standard deviation of 4 (σ). Using the Empirical Rule, about 68% of the scores lie between which two values?

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