1. Find P(Z < -1.54). Round off to 4 decimal places.
2. Find P(Z > 1.45). Round off to 4 decimal places.
3. Find P(-1.54 < Z < 1.45). Round off to 4 decimal places.
4. The monthly electric bills in a city are normally distributed with a mean of $125 and a standard deviation of $22. Find the x-value corresponding to a z-score of 1.65.
5. Find z if P(Z < z) = 0.028.
6. The weights of bags of chips for a vending machine are normally distributed with a mean of 1.34 ounces and a standard deviation of 0.18 ounce. Bags that have weights in the higher 5.7% are too heavy and will not work in the machine. What is the greatest a bag of chips can weigh and still work in the machine?
7. The average on a statistics test was 75 with a standard deviation of 15. If the test scores are normally distributed, find the probability that a student receives a test score less than 90.
8. The average on a statistics test was 75 with a standard deviation of 15. If the test scores are normally distributed, find the probability that a student receives a test score greater than 85.
9. The average on a statistics test was 75 with a
standard deviation of 15. If the test scores are normally
distributed, find the probability that a student receives a test
score between 60 and 80.
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