Questions -

Question 1 - An awareness task force at a large Australian university sampled 200 students after the final exam to ask them whether they studied on the weekend before the exam, and whether they did well on the exam. Of the 200 students, 100 studied on the weekend before the exam, 110 did well on the exam, and 80 who studied on the weekend before exam did well on the exam.

The probability that a randomly selected student studied on the weekend before the exam or did well on the exam is?

Question 2 - An awareness task force at a large Australian university sampled 200 students after the final exam to ask them whether they studied on the weekend before the exam, and whether they did well on the exam. Of the 200 students, 100 studied on the weekend before the exam, 110 did well on the exam, and 80 who studied on the weekend before exam did well on the exam.

The probability that a randomly selected student neither studied on the weekend before the exam nor did well on the exam is?

Question 3 - An awareness task force at a large Australian university sampled 200 students after the final exam to ask them whether they studied on the weekend before the exam, and whether they did well on the exam. Of the 200 students, 100 studied on the weekend before the exam, 110 did well on the exam, and 80 who studied on the weekend before exam did well on the exam.

The probability that a randomly selected student did not study on the weekend before the exam but did well on the exam is?

Question 4 - An awareness task force at a large Australian university sampled 200 students after the final exam to ask them whether they studied on the weekend before the exam, and whether they did well on the exam. Of the 200 students, 100 studied on the weekend before the exam, 110 did well on the exam, and 80 who studied on the weekend before exam did well on the exam.

The probability that a randomly selected student did not do well on the exam is?

0.65

0.15

0.45

0.35

Question 5 - A food processor packages orange juice in small jars. The weights of the filled jars are normally distributed with a mean of 336 grams and a standard deviation of 9.6 grams.

Find the proportion of all jars packaged by this process that have weights that fall below 348 grams.

Question 6 - A food processor packages orange juice in small jars. The weights of the filled jars are normally distributed with a mean of 336 grams and a standard deviation of 9.6 grams.

Find the proportion of all jars packaged by this process that have weights that fall above 345.6 grams.

Question 7 - A food processor packages orange juice in small jars. The weights of the filled jars are normally distributed with a mean of 336 grams and a standard deviation of 9.6 grams.

Find the proportion of all jars packaged by this process that have weights between 345.6 grams and 348 grams.

Question 8 - According to a large company, the probability that their employees have had previous experience if they have had formal training is 45%. Of the employees surveyed, 50% have had previous experience and 40% have had formal training.

The probability that the employees have had formal training if they have had previous experience is?

Question 9 - According to a large company, the probability that their employees have had previous experience if they have had formal training is 45%. Of the employees surveyed, 50% have had previous experience and 40% have had formal training.

The probability that the employees have had previous experience if they have had no formal training is?

Question 10 - According to a large company, the probability that their employees have had previous experience if they have had formal training is 45%. Of the employees surveyed, 50% have had previous experience and 40% have had formal training.

The probability that the employees have had no formal training if they have had no previous experience is?

Note: All intermediate calculations must be reported to 4 decimal places before performing the final calculation.