In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 21.3 and a standard deviation of 5.3. Complete parts (a) through (d) below. (a) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than 18. The probability of a student scoring less than 18 is. (Round to four decimal places as needed.) (b) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is between 16.9 and 25.7. The probability of a student scoring between 16.9 and 25.7 is (Round to four decimal places as needed.) (c) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is more than 32.3. The probability of a student scoring more than 32.3 isO. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The event in part (a) is unusual because its probability is less than 0.05. O B. The event in part (c) is unusual because its probability is less than 0.05. O C. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05. O D. None of the events are unusual because all the probabilities are greater than 0.05.

In a data set with a mean of 28 and standard deviation of 6, what is the value of the standard unit for an observation of 19?  (This is also sometimes called a z-score.) Use 2 decimal places in your answer.   Your Answer:

Question 2 Question 4 Income Income Poverty line is at $12. Based on the table above, what is the Poverty Gap Index (PGI) in 2020? Round to two decimal places and leave the answer with percentage. (e.g. report 35.95 if you believe PGI - 35.95%) Pre- during the Person pandernic pandenic (2019) (2020) Note: Don't round your result until the final step. A 7 3 10 4 15 30 D 4 E 6 2 F 12 11 18 23 Question 5 14 17 Total 86 90 Poverty line is at $12. Based on the table above, what is the percentage change in Poverty line is at $12. Based on the above table, with reference to the pre- FGT2 from 2019 to 2020? Round to two decimal places and leave your answer with pandemic(2019) and the post-pandemic(2020) income levels, The Headcount Index percentage. (e.g. If you believe FGT2 increase 99.99% from 2019 to 2020, enter "99.99" in the blank) does NOT change from 2019 to 2020. Note: 1. Don't round your resuilt until the finat step. O True 2. E.g: percentage change of GDP from 2019 to 2020 equals the…

Isabella's points per game of bowling are normally distributed with a standard deviation of 8 points. If Isabella scores 148 points, and the z-score of this value is 3, then what is her mean points in a game? Do not include the units in your answer. For example, if you found that the mean is 150 points, you would enter 150. Provide your answer below: