Directions: Analyze the problem below by providing a comprehensive answer from the given question. Write the complete solution in SHORT BOND PAPER and show a graph of a standard normal curve. 1. The height (in meters) of grade II students in section A, follows a normal distribution with the mean 1.6 and a standard deviation of 0.3. Find the probability that students chosen at random has a height greater than 1.75. Th ative test of II STEM Rare normally distributed with ndand

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ACTIVITY NO.I
Directions: Analyze the problem below by providing a comprehensive answer from the given question. Write the
complete solution in SHORT BOND PAPER and show a graph of a standard normal curve.
I. The height (in meters) of grade II students in section A, follows a normal distribution with the mean 1.6 and a
standard deviation of 0.3. Find the probability that students chosen at random has a height greater than 1.75.
2. The scores in the summative test of II- STEM B are normally distributed with a mean of 65 and a standard
deviation of 12. Find the probability that some students got a score below 40.
3. The mean score and the standard deviation in the Statistics test are respectively equal to 80 and 2.5, whereas in
the Mathematics test the mean score is 70 and the standard deviation is 2. If Liza got a score of 85 in Statistics
and a score or 75 in Mathematics in which subject is her standing better assuming normality in both subjects?
4. Determine the z value for each of the following x values for a normal distribution with mean of 56 and a
standard deviation of 7. and determine whether the z-score is below, above or equal to mean.
A. 42
B. 70
C. 45
D. 67
Transcribed Image Text:ACTIVITY NO.I Directions: Analyze the problem below by providing a comprehensive answer from the given question. Write the complete solution in SHORT BOND PAPER and show a graph of a standard normal curve. I. The height (in meters) of grade II students in section A, follows a normal distribution with the mean 1.6 and a standard deviation of 0.3. Find the probability that students chosen at random has a height greater than 1.75. 2. The scores in the summative test of II- STEM B are normally distributed with a mean of 65 and a standard deviation of 12. Find the probability that some students got a score below 40. 3. The mean score and the standard deviation in the Statistics test are respectively equal to 80 and 2.5, whereas in the Mathematics test the mean score is 70 and the standard deviation is 2. If Liza got a score of 85 in Statistics and a score or 75 in Mathematics in which subject is her standing better assuming normality in both subjects? 4. Determine the z value for each of the following x values for a normal distribution with mean of 56 and a standard deviation of 7. and determine whether the z-score is below, above or equal to mean. A. 42 B. 70 C. 45 D. 67
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