Question 1050946
205 cm and a standard deviation of 8.3 cm.
a. {{{z =blue (x - mu)/blue(sigma)}}} 
P(x>217.5) = 1 - P(x <= 217.5)
z = (217.50-205)/8.3 = 1.5
P(z<=1.5) = normalcdf(-10,1.5)= .84
P(x > 217.5) = 1 - .84 = .16  0r 16%
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b. n = 25 ,  x&#772; = 202.8

P(x>202.80) = 1 - P(x <= 202.80)
z = {{{z =blue (202.80 - 205)/blue(8.3/sqrt(25))}}} = -2.2/1.66 = -1.3253
P(z <= -1.3253) = .1885
|P(x > 202.8) = 1 - .1885 = .9115  0r 91.15%
Check Arithmetic