Assignment 5 - The Normal Distribution

Circle your lab meeting time:

Monday 9:15	Monday 12:15	Monday 3:15	Wednesday 9:15	Wednesday 12:15

1. P(45 < X < 55) = ______________________. The S-PLUS code is ____________________.

   P(X > 65) = ______________________. The S-PLUS code is ____________________.

   P(a < X < b) = 0.80. a = _____________ and b = _____________.

   The S-PLUS code is ____________________.

   The z-score of a 35 year old boy is ___________________.

   The proportion of six-year-old boys that weigh less is ___________________.

   The S-PLUS code is ____________________.

   Is this unusually light?

    

    

2. P(94 < X < 114) = _____________________. The S-PLUS code is ____________________.

   P(X > 120) = ________________________. The S-PLUS code is ____________________.

   The 90th percentile of this distribution is __________.

   The S-PLUS code is ____________________.

3. The mean is __________ and the standard deviation is __________.
   
   The exact binomial probability that 140 or more individuals are carriers for the disease is __________.
   
   The S-PLUS code is ____________________.

   The normal approximation to the binomial probability is __________.

   The S-PLUS code is ____________________.

4. The measurement is __________ standard deviations above the mean? Does this patient have a healthy thyroid gland? Explain.