Question

VIII. USE THE INFORMATION BELOW TO ANSWER PROBLEMS 26-28 The average insulin level in healthy adults 2 hours after the administration of glucose follow a normal distribution with a mean of 91 mlU/L and a standard deviation of 30.33 mlU/L. A healthy adult's blood is sampled 2 hours after the administration of glucose. You are interested in the probability that the insulin level is less than 80 mlU/L. 26. Pick the equation that is most appropriate to deal with the problem above. a) X- In Z b) ZE X- c) d) x = $zo p(x) = nCxp*(1 - p)"-* None of the above 27. Select the most appropriate item that pertains to the problem above. a) 2.2.29 b) t-2.32 c) 2.2.32 d) 20.364 361 28 None of the above What is the probability that the adults insulin level is lower than 80 mIU/L? a) 0.0128 b) 0.0102 c) 0.0110 d) 0.3594 e) None of the above

Answer 1

Solution:

Given that,
μ =91 , σ=30.33 x=80
26)
Correct equation is b) z= (x- μ)/σ
z= (x- μ)/σ
= (80-91)/ 30.33
= -0.3627
z= -0.36
27) Answer d) z= -0.36
28)
P(X< 80)= p{[(x- μ)/σ]<[(80- 91)/30.33]}
=P(z<-0.36)
=0.3594 ( From Standard Normal table)
Answer: d)

Probability that the adults insulin level is lower than 80 mIU/L is 0.3594