Math a Normal Distribution 11.3 Worksheet Key.pdf

Name __________________ Date _________ Practice A normal distribution has mean X and standard deviation u. Find the indicated probability for a randomly selected AC-value from the distribution. 1. P(x?.x+cr) 2. P(x5.x + 2cr) 3. P(x ?.x - 3cr) qq,f5% Give the percent of the area under the normal curve represented by the shaded region. 4. 5. o.30% A normal distribution has a mean of 27 and a standard deviation of 5. Find the probability that a randomly selected .N-Value from the distribution is in the given interval. 6. Between 22 and 32 7. Between 12 and 27 8. Between 17 and 37 ° /a8 [o 9. At least 22 10. At least 37 11. Atmost32 LESSON '----1!-1=3. c. __ Practice continued A normal distribution has a mean of 75 and a standard deviation of 10 . . Use the standard normal table on page 759 of your textbook to find the indicated probability for a randomly selected »value from the distribution. 12. P(x <; 70) 13. P(x 5 52) 14. P(x <; 78) 15. P(x <; 96) 16. P(x <; 44) 17. P(x <; 106) 18. Biology The weights of adult male rhesus monkeys are normally distributed with a mean of 17 pounds and a standard deviation of 3 pounds. What is the probability that a randomly selected adult male rhesus monkey has a weight less than 14 pounds? l to lo O In Exercises 19 and 20 w use the following information. Apples The annual per person consumption of apples in the United States is normally distributed·with a mean of 16 pounds and a standard deviation of 4 pounds. 19. Find the z-score for an annual per person consumption of 22 pounds. 20. What is the probability that a randomly selected person in the United States has an annual per person consumption of apples less than 22 pounds?