Question

Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 108 and standard deviation 2. 

(a) What is the probability that chloride concentration equals 109? Is less than 109? Is at most 109? (Round your answers to four decimal places.) equals 109 0 less than 109 0.6915 at most 109 0.6915 

(b) What is the probability that chloride concentration differs from the mean by more than 1 standard deviation? (Round your answer to four decimal places.) Does this probability depend on the values of μ and σ?

(c) How would you characterize the most extreme 0.8% of chloride concentration values? (Round your answers to two decimal places.) The most extreme 0.8% of chloride concentrations values are those less than X mmol/L and greater than x mmol/L. 

You may need to use the appropriate table in the Appendix of Tables to answer this question. 

Answer 1

u 108, o = 2 6 P(Z <-1 or Z >1) = P(Z <-) + P(Z >1) ul 0.158655 t 0.158 655 = 0.317310 0.3173 :. The probability that cloride concentration differs from the mean by more than I standard deviation is 0.3173 C For a p-value of 0.008, Z-value = 2.65207 Minimum score = M - Zo 108 -2.65207 (2) = 102.69586 ܐܐ 102.70 Maximum score ut zo 108.+ 2.65 207 (2) = 113.30413 113. 30 :. The most extreme 0.8.4. of chloride concentrations values are those less than 102.70 mmol/L and greater than 113.30 mmol/l.