Question

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.3 inches, and standard deviation of 6.6 inches.

What is the probability that the height of a randomly chosen child is between 50.8 and 70.3 inches? Do not round until you get your your final answer, and then round to 3 decimal places.

Answer 1

Let be the height of X children X N N (u, 82) Mean all 56. 3 Standard deviation r= 6.6 - = g ll P6 height of child chied between 50.8 and 70.3) P ( 50.8 LX < 70.3) P ( 56.8-M LX-4 270.3 M) p 50.8. 56.3_LZ < 70.3.56.3 6.6 ob. 83 333 Zz 2:121212) PIZ 2.121212) plz ! -0-83333) 0.983 0.7807 0.781 L 0.2023