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15. P (z > 1.23) 16. P 17. P ( 1.46 < z < 2.46) Applications of Normal Distribution 18. P 1.35 < z < 2.3) 19. P (z < 3.12) 20. P (z < -0.01) 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 only 1. 2. 3. 4. 5. 6. for each problem . Box your final answer . (5 points per item ) Note : Choose 3 items The lifetime of a lightbulb is normally distributed with a mean of 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 ? 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 having the capacity to write at most 0.9 km ? The heights of college students in L PU 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 A swine raiser finds that the daily weight gain of animals is 0.7 kg on 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 gain in a day is between 0.75 kg and 0.88 kg ? Suppose that the weekly demand for iPhone at Mac Store is normally distributed with a mean of 29 units and a standard deviation of 5 units. What is the probability that the following week's demand would be more than 33 units? The average loan of employees is PH P 18,200. If the debt is normally distributed with a standard deviation of P6,150 , find the probability that an employee owes at least PHP8,OOO