Directions: Solve each word problem. Provide the given values. Show the conversion of raw score to z-score (3 points per item ). Illustrate the appropriate shading of the normal curve for each problem .30); your final answer . (5 points per item ) Note : Choose 4 items only 1. The lifetime of a lightbulb is normally distributed with mean 800 hours and a standard deviation of 50 hours. What is the probability that a randomly selected lightbulb will last for more than 950 hours ? 2. An average ballpoint pen is said to have a capacity to write 1 km of continuous writing with a standard deviation of 0.2 km. What is the probability of a ballpoint pen to have a capacity to write at most 0.9 km ? 3. The heights of college students in LPU are normally distributed with an average of 170 cm. The standard deviation is 7.2 centimeters. Find how many students are smaller than 158 cm . 4. A swine raiser finds that the daily weight gain of animals is 0.7 kg on the average with a standard deviation of 0.14 kg. If weight gain is a normally distributed random variable, what is the probability that a randomly chosen swine gains in a day is between 0.75 kg and 0.88 kg. 5. Suppose that the weekly demand for iPhone at Mac Store is normally distributed with a mean of 29 units and standard deviation of 5 units. What is the probability that the following week's demand would be more than 33 units? 6. The average loan of employees is PHP18,200. If the debt is normally distributed with a standard deviation of P6,150, find the probability that an employee owes at least PHP8,000 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 PHPB,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)