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nnectmath.com/alekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-MU3rQ167jQRhoz9hcTVPOHqG1jTqacFLHNM nnect MATH Test #2 Chapter 3 & 6.1, 62,& 63 Previous 21 22 23 24 25 26 7 28 29 30 Question 27 of 33 (1 point) View problem in a pop-up The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find these probabilities of the earnings of a teacher selected randomly. Round the final answers to four decimal places and intermediate z value calculations to two decimal places. Source: New York Times Almanac. Part 1 out of 2 Between S28,200 and $44,800 a year P(28,200 s X s 44,800) - NEXI

Explanation / Answer

Solution : Given that mean ? = 47750 , standard deviation ? = 5680

P(28200 <= x <= 44800) = P((x - ?)/? <= Z <=(x - ?)/?)

= P((28200 - 47750)/5680 <= Z <= (44800 - 47750)/5680)

= P(-3.44 <= x <= -0.52)

= 0.3012

  

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