Assume that the mean blood pressure of normal people is 120and the standard devi

Question

Assume that the mean blood pressure of normal people is 120and the standard deviation is 5.6 Assume a normaldistribution. If an individual is selected, find the probability that theindividuals pressure will be between 120 and 121.8 mmHg When I did this question myself I got an answer of 0.3214. Isthis correct..if not show me what I did wrong. thnx. Assume that the mean blood pressure of normal people is 120and the standard deviation is 5.6 Assume a normaldistribution. If an individual is selected, find the probability that theindividuals pressure will be between 120 and 121.8 mmHg When I did this question myself I got an answer of 0.3214. Isthis correct..if not show me what I did wrong. thnx.

Explanation / Answer

P(120<X<121.8)=P(X<121.8)-P(X<120) .................................(1) P(X<120)=.5     (Half of area to theleft of the mean =120)...................(2) Let Z=(X-)/ then P(X<121.8)=P(Z<(121.8-120)/5.6)=.626 ..............................................(3) Substituing (2) and (3) into (1) P(120<X<121.8)=.126

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