### Assignment 5 - The Normal Distribution

Name: ______________________________

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.