Question

9. In a human factor experiment project, it has been determined that the reaction time 2 of a pilot to a visual stimulus is normally distributed with a mean of 1/2 second and a standard deviation of 2/5 second. Let n(q;M, 0) represent the probability density function. (a) Set up the integral that would calculate the probability that a reaction from the pilot takes more than 0.3 second. (b) Set up the integral equation that would calculate the reaction time separates the bottom 90% of reaction times from the top 10%. Explain how you would use a computer/calculator to solve for this reaction time.

Answer 1

Ans! let se is reaction time of pileat Mean (u) = 1/2=0.5 Standaed der (6)=&=0.4. (a) Plus 0.3] - Plzs 0.3-0.57 = P(27-0.5] 0.4 = 0.6915 [ from table] The prob. that reaction of the pllat takes more than 0.3 second is 0.6915 6) z att 0.90=01afrom the a table is +1.282. x 4+25 = 0.5+1.28280.4 33 110128