7. The average monthly allowance of students in a certain university is PHP7,200 with a standard deviation of PHP950. What is the probability that a student has an allowance of more than PHP8,500 ? 8. The average time of recorded tardiness of students is said to be 10.28 minutes which deviates by 3.5 minutes. What is the probability that a student tardy on a random day would be late for more than 15 minutes ? 9. Filipinos between ages 18 to 65 are said to have an average BMI of 29 which has a standard deviation of 4.8. What is the probability that a random Filipino of the said age range would be overweight (BMI between 30 and 35) 10.The time required to install a new jeepney engine is normally distributed random variable with a mean of 6.5 hours and a standard deviation of 0.75 hours .What is the probability that the next installation takes over 7.2 hours ? 11.The average daily number of visits received by the municipality hall in Dasmarinas is said to be 3,729. If the daily visit is normally distributed and has a standard deviation of 362, find the probability that a randomly chosen day has a visit count between 3,000 and 4.000. 12.The average credit card debt for a household with 5 members is PHP14,975. If the debt is normally distributed which deviates by PHP5,650. what is the probability that a chosen household owes at least PHP5.000 ? 13.The ages of participants in a drama workshop are normally distributed with a mean of 18.5 and a standard deviation of 2.5 years. What is the probability that the age of a random participant is more than 20 years ? 14.The lifetime of a light bulb is normally distributed with a mean 01800 hours and a standard deviation of 50 hours. A random light bulb is selected. What is the probability that it will last for more than 950 hours ? 15.The length of a ball pen is known to be normal with a mean of 5 inches and a standard deviation of 0.1 inch. Desiree bought one of such ball pens. What is the probability that its length is between 4.85 inches to 5.10 inches