I would like some assistance with the following statistics questions

The height distribution of students at a preparatory school in Kingston is normally distributed with mean 144cm and standard deviation 13cm. As a requirement, no more than 10% of students are allowed to be under a certain height. Calculate the height at which the limit is set. Select one: O a. 161cm O b. 127cm O c. 157cm O d. 131cmWhat is the probability that corresponds to the given area under the standard normal curve below? -1.01 0 Select one: O a. 0.1587 O b. 0.1562 O C. 0. 1357 O d. 0.1335A jar of stones has five white stones, one grey stone, two black stones, and four yellow stones. From the jar, a stone is chosen at random. After the first stone has been replaced, a second stone is picked. What is the probability that a yellow and white stone will be chosen? Select one: O a. 0.1515 O b. 0.2778 O c. 0.7222 O d. 0.1389The grade distribution for students who did Mid-Semester 1 for ECON1005 is normal with a mean of 60 and a standard deviation of 12. What is the grade for the top 16% of students? Select one: O a. 62 O b. 70 O C. 72 O d. 48Students in 2nd form at a popular school in Kingston have their heights measured. 68% of the heights are between 125cm and 135cm. Assuming the data is normally distributed, what are the mean and standard deviation of the distribution respectively? Select one: O a. 130.00cm and 5.00cm O b. 130.00cm and 10.00cm O c. 120.00cm and 5.00cm O d. 120.00cm and 10.00cmThe table below shows 3 pastimes enjoyed by 50 employees at a healthcare facility. The event that an employee enjoys knitting and is male is? Male Female Total Cooking 7 8 15 Knitting 0 25 25 Reading 4 6 10 Total 11 39 50 Select one: O a. dependent O b. complementary O c. mutually exclusive O d. independentThe probability of a lock being defective is 0.3. What is the probability that in a random sample of 5 locks there are more than 3 defective locks? Select one: O a. 0.2820 O b. 0.1308 O c. 0.0308 O d. 0.3820The age distribution of students at EAC is normally distributed with mean 9 and standard deviation 3. What is the closest to the minimum age of the lowest 5% students at EAC? Select one: O a. 4 O b. 7 O C. 6 O d. 5