Question

10. (10) Students' rating of Bernie is normally distributed with mean=60 and standard deviation=15. What is the probability of a student rating Bernie between 55 and 64?

Answer 1

Note: probability values are taken from the statistical table.

Given! U = 60 < 6 = 15 X! rating of Bernie | XO N(4=60 6” = 2 25 ) The probability of student rating Bernie between 55 and 064 iso 55 30 564) = F(b) - FCA) = F(64)- F (55) = P( x64) - PCXL 55) P/X-4 < 64-60- P/x-4.55-60- o 615 PC SNUS 0.26667) - P(SNVL -0.3333) - P(Z <0.2667) - P(Z = -0.3333 0.60513 -0.3 69 44 0-23569 y 0.2357