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Activity 3: Solve It! Direction: Read and analyze the given problem. Show all your solution in the space provided. Problem: Most universities require SHS graduates to take an entrance examination. Scores on the entrance examination are roughly distributed with a mean of 115 with a standard deviation of 27. What is the probability of a taker having a score of more than 135? Step 1: Write the given and unknown. Step 2: Apply the formula. Step 3: Locate the area of the z- value from the z-table Step 4: Sketch the normal curve and shade the desired area Step 5: State the conclusion2 GSC-CID-LRMS-ESSLM, v.r. 03.00, Effective June 14, 2021 Step 2. Compute the area of the required region. 0.8266 P(-2.84 850) = P(Z > 2.25) value from the z-table = 1.0000 - 0.9878 = 0.0122 or 1.22% Step 4: Sketch the normal curve 1.22% and shade the desired area Step 5: State the conclusion : The probability that the volunteers will plant more than 850 trees per year is 1.22%. Illustrative Example 5: The sample average length of a sock that is produced at a factory is 34 cm and the sample standard deviation is 6. What is the probability that the length of a sock will be below 22 cm? 3 GSC-CID-LRMS-ESSLM, v.r. 03.00, Effective June 14, 2021 Step 1: Write the given and x = 22 X = 34 unknown. S =6 Z = ? Step 2: Apply the formula. Z X-X 22-34 -12 -2 Step 3: Locate the area of the z- P(Z