Week no. 6 Exercises. Normal Distributions(part 2) L. Solve for Z and find its area 1. Mean=81, score: x=71.5, standard deviation: a = 9. 2. Mean = 47, score: x = 55.6, standard deviation: G = 4. 3. Mean = 68, score: x= 78.8, standard deviation: σ=6. 4. Mean = 51, score: x= 69, standard deviation: a = 7. 5. Mean = 85, score: x=93, standard deviation: = 5.

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Week no. 6 Exercises. Normal Distributions(part 2)
1. Solve for Z and find its area
1. Mean = 81, score: x=71.5, standard deviation: a = 9.
2. Mean = 47, score: x = 55.6, standard deviation: G = 4.
3. Mean = 68, score: x = 78.8, standard deviation: 0=6.
4. Mean = 51, score: x = 69, standard deviation: G = 7.
5. Mean = 85, score: x=93, standard deviation: = 5.
6. The mean expenses of Dela Cruz Family is PhP12,600 every 15 days and the
standard deviation is PhP 1, 570., If the expenses are normally distributed, what is
the probability of consuming less than PhP 11,000 in 15 days?
7. The mean production of factory workers is 10 finished products per hour, with a
standard deviation of 1.5 products/hour. What is the probability of finishing: a.
less than 12.8 products/hour? b. more than 12 products/hour?
8. The mean weight of insects for laboratory experiments is 13.2 g, with the standard
deviation of 0.8 g. What is the probability of randomly selecting insects with
weight of: a. 14 g? b. 13.1 to 13.6 g?
9. The lifetime of CP batteries from a certain manufacturer is 25 hours if used
continuously, the standard deviation is 5 hrs. If the distribution is normally
distributed, how many hours is the cut-off in selecting the best 10% in terms of
lifetime?
10. The company's profit follows a normal distribution with a mean of PhP 500
thousands a month, with a standard deviation of PhP 50 thousands. What is the
lowest 20% of the profit?
Transcribed Image Text:Week no. 6 Exercises. Normal Distributions(part 2) 1. Solve for Z and find its area 1. Mean = 81, score: x=71.5, standard deviation: a = 9. 2. Mean = 47, score: x = 55.6, standard deviation: G = 4. 3. Mean = 68, score: x = 78.8, standard deviation: 0=6. 4. Mean = 51, score: x = 69, standard deviation: G = 7. 5. Mean = 85, score: x=93, standard deviation: = 5. 6. The mean expenses of Dela Cruz Family is PhP12,600 every 15 days and the standard deviation is PhP 1, 570., If the expenses are normally distributed, what is the probability of consuming less than PhP 11,000 in 15 days? 7. The mean production of factory workers is 10 finished products per hour, with a standard deviation of 1.5 products/hour. What is the probability of finishing: a. less than 12.8 products/hour? b. more than 12 products/hour? 8. The mean weight of insects for laboratory experiments is 13.2 g, with the standard deviation of 0.8 g. What is the probability of randomly selecting insects with weight of: a. 14 g? b. 13.1 to 13.6 g? 9. The lifetime of CP batteries from a certain manufacturer is 25 hours if used continuously, the standard deviation is 5 hrs. If the distribution is normally distributed, how many hours is the cut-off in selecting the best 10% in terms of lifetime? 10. The company's profit follows a normal distribution with a mean of PhP 500 thousands a month, with a standard deviation of PhP 50 thousands. What is the lowest 20% of the profit?
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