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please help me with this. thank you! B.) standard deviation 5.) The area to the left of z - 2.32 is A.) 0.4898 B.) 0.4960

please help me with this. thank you!

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B.) standard deviation 5.) The area to the left of z - 2.32 is A.) 0.4898 B.) 0.4960 C.) 0.5645 D.) 0.9898 6.) The area to the right of z = -1.8 is A.) 0.0136 B.) 0.6720 C.) 0.4665 D.) 0.9641 7.) The area to the left of z = - 1.5 is A.) 0.0643 B.) 0.4357 8.) A Science test has a mean 75 and standard deviation of 12. What is the standard score of a student who got C.) 0.8765 D.) 0.9989 score of 60? A.) - 1.25 "B.) 2.10 C.) 2.25 D.) 2.15 9.) On a periodical test in Math, the mean was 70 and the standard deviation was 9. Determine the standard score of a student with a score of 88. A.) 1.25 B.) 1.52 C.) 2 D.) 2.15 10. A Physics test has a mean of 60 and standard deviation of 8. What is the standard score of 70? A.) 1 B.) 1.25 C.) 2 D.) 2.15 1 1. An English test has a mean of 80 and standard deviation of 10. Determine the standard score of 90? A.) 1. B.) 1.25 C.) 2 D.) 2.15 12. "In a Chemistry test, the mean score is 42 and the standard deviation is 5. Assuming the scores are normally distributed." Determine the standard score of 50. A.)- 2.4 B.) 1.2 C.) 1.6 D.) 2.5 13. "The mean height of grade 8 students is 164 centimeters and the standard deviation is 10 centimeters. Assuming the heights are normally distributed." What is the standard score of 168 centimeters? A.) 0.4 B.) 1.2 C.) 2.13 D.) 2.45 14. "In a Basic Calculus test, the mean score was 45 and the standard deviation is 4. Assuming the scores are normally distributed." What percent of the score is above 50? A.) 39.44% B.) 10.56% C.) 45.99% D.) 4.01% 15. The distance travelled by a car in an hour is a A.) continuous variable B.) discrete variable C.) mass point D. ) probability distribution 16. The height in meters that a jumper can jump in his final attempt is an example of a A. ) continuous random variable C.) probability distribution B.) discrete random variable D.) probability mass function 17. "Let X be a normally distributed random variable with a mean 1 20 and a standard deviation of 8." If x = 100, then the corresponding z-score is A.) - 2.5 B.)-.0.25- C.) 0.25 D.) 2.5 18. "The average time it takes for a courier to travel from Province A to province B is 200 minutes. Assume that the travel time is normally distributed with a standard deviation of 10 minutes." Find the probability that the courier will take at least 180 minutes to travel from province A to province B. A.) 0.0228 B.) 0.4772 C.) 0.5228 D.) 0.9772 19. "The time it takes for Grade 1 1 students in CST-R to complete a physical fitness test is normally distributed with mean 15 minutes, and a standard deviation of 4 minutes. " What is the longest time to complete the test of a student whose time belongs to the middle 60% of all recorded times? A.) 11,64 minutes B.) 16 minutes C.) 17 minutes D.) 18.36 minutes

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