Standard Normal Distribution. In Exercises 9-12, find the area of the shaded reg

Question

Standard Normal Distribution. In Exercises 9-12, find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 9. 10. 11. 12. Standard Normal Distribution. In Exercises 13-16, find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 13. 14. 15. 16. Standard Normal Distribution. In Exercises 17-36, assume that thermometer readings are normally distributed with a mean of 0degreeC and a standard deviation of 1.00degreeC. A thermometer is randomly selected and tested. In each case, draw a sketch, and find the probability of each reading. (The given values are in Celsius degrees.) If using technology instead of Table A-2, round answers to four decimal places. 17. Less than - 1.50 18. Less than -2.75 19. Less than 1.23 20. Less than 2.34 21. Greater than 2.22 22. Greater than 2.33 23. Greater than - 1.75 24. Greater than -1.96 25. Between 0.50 and 1.00 26 middot Between 1.00 and 3.00 27. Between -1.20 and 1.95 28. Between -1.00 and -0.50 29. Between -1.20 and 1.95

Explanation / Answer

9) Z cal=0.75

Area upto 0.75 is 0.7734

10) Z cal= - 0.75

Area greater than -0.75 is 0.7734

11)

P(-0.6<Z<0)+P(0<z<1.2) =0.2257+0.849 =0.6106

12)

P(-0.9<Z<0)+P(0<z<1.6) =0.3159+0.4452 =0.7611

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