Question

In this assignment. you will determine the probability of several different z-scores.

Requirements:

• You may use Word, Excel, or write out by hand to complete this assignment.
• Using the charts available in Top Hat, complete the probabilities of the following:
  • P(x<2.78)
  • P(1.87<x<2.78)
  • P(-2.68<x<0.00)
  • P(0.15<x<1.15)
  • P(-1.33<x<1.33)
  • P(x>1.75)
  • P(x>2.21)
  • P(x<0.56)
  • P(x<-0.56)
  • P(x>1.49)
• Make sure each answer is numbered
• All answers must be rounded to four decimal places.
• You must show your work (if any computation is required) for 100% credit.

Answer 1

We use the standard normal distribution table shown below.

(a) P(x<2.78) = 0.9973 (look for 2.7 row and 0.08 column)

(b) P(1.87<x<2.78) = P(x<2.78)-P(x<1.87) = 0.9973 - 0.9693 = 0.028

(c) P(-2.68<x<0.00) = P(x<0) - P(x<-2.68) = P(x<0) - [ 1 - P(x<2.68)] = 0.5 - [1 - 0.9963] = 0.5 - 0.0037 = 0.4963

(d) P(0.15<x<1.15) = P(x<1.15) - P(x<0.15) = 0.8749 - 0.5596 = 0.3153.

We solve only 4 parts per question in one post. Please post again for other solutions.