Jobs for Registered Nurses The average annual number of jobs available for regis

Question

Jobs for Registered Nurses The average annual number of jobs available for registered nurses is 103.900. If we assume a normal distribution with a standard deviation of 8040, find the probability that a. More than 100,000 jobs are available for RNs b. More than 80,000 but less than 95,000 jobs unavailable for RNs c. If the probability is 0.1977 that more than X amount of jobs are available, find the value of X. Salary (if Full Professors The average salary of a male full professor at a public four-year institution offering class the doctoral level is $99, 685.

Explanation / Answer

mean = 103900 , s = 8040

a) p ( x > 100000)

z = ( x - mean) /s

= ( 100000 - 103900) / 8040

= -0.485

Now, we need to find p ( z > -0.485)

p(x> 100000) = p ( z > -0.485) = 0.6862

b) p ( 80000 < x < 95000)

z = ( x - mean) ./ s

= p((80000 - 103900) / 8040 < z < ( 95000 - 103900) / 8040)

= p(-2.97 < z < -1.11)

Now, we need to find p ( (-2.97 < z < -1.11)

p(80000 < x < 95000) = p(-2.97 < z < -1.11) = 0.1327

c)

For probability 0.1977 z value = 0.85

z = ( x - mean) / s

0.85 = ( x - 103900) / 8040

x = 110734

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