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1 point A random variable x is normally distributed with a mean of 117 and a standard deviation of 14. What is the probability of

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1 point A random variable x is normally distributed with a mean of 117 and a standard deviation of 14. What is the probability of selecting any random variable from the distribution with a value less than 112? Provide your answer as a percentage to two decimal places. type your answer. 2 1 point A random variable x is normally distributed with a mean of 117 and a standard deviation of 14. P(X = 124)? Provide your answer as a percentage to two decimal places. type your answer. 3 point A random variable x is normally distributed with a mean of 117 and a standard deviation of 14. P(X 2 145 )? Provide your answer as a percentage to two decimal places. type your answer.. 4 3 points The SAT Math scores from 2019 are normally distributed with a mean of 528 and a standard deviation of 117. What is the probability of randomly selecting a test score that is a) less than 495 type your answer. b) between 515 and 690 type your answer.. c) greater than 670 type your answer. Provide probabilities rounded to the third decimal place or percentage rounded to the first decimal place. Source: The College Board 5 3points The SAT scores from 2019 are normally distributed with a mean of 1059 and a standard deviation of 210. What is percentage of scores are a) greater than 1200 type your answer. b) between 1000 and 1100 type your answer. c) less than 800 type your answer. Express all answers as percentage to two decimal places. Source: The College Board 6 1 point If the mean of a normal distribution is 45 and the standard deviation is 4.3, how many standard deviations away from the mean is the value 36.8? Write your z-score as a negative or positive number with two decimal places. type your

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