## 12 HL: The Standard Normal Distribution

Complete the following questions before our next class.

It is know that the foot size, $$X$$of a Tyrannosaurus rex is normally distributed with $$\textrm{P}(X\geq 70)=0.43$$ and $$\textrm{P}(X\leq 30)=0.24$$. Find the mean and standard deviation of the Tyrannosaurus rex foot size.

You can have some time in class tomorrow to work on the questions below, but you should get a start on these tonight. (Also, we’ve now finished the chapter on continuous probability distributions!)

Exercise 28E.1 question 1
Exercise 28E.2 questions 3, 4abde, 5
Exercise 28F.1 questions 6 and 9
Exercise 28F.2 questions 5 and 9

## 12 HL: The Normal Distribution

Complete the following questions before our next class.

Exercise 28C.2 questions 3abd, 4
Exercise 28D.1 questions 1, 3, 6
Exercise 28D.2 questions 1, 3, 6 (why does question 6 not involve a normal distribution?), 8, 10

## 11 SL: Double Angle Identities

Complete the following questions before our next class.

(black book)
Exercise 9D questions 2–6, 9ace, 12ab, 16

## 12 HL: Continuous Probability Distributions

Complete the following questions before our next class.

Exercise 27H questions 2, 3, 5
Exercise 28A questions 1, 6, 8, 9
Exercise 28B questions 1, 2, 4, 7, 12 (long!)

## 11 SL: Trigonometric Equations

Complete the following questions before our next class.

(black book)
Exercise 9B questions 1 and 5 (word problems)
Exercise 9C.1 questions 1d, 2ad
Exercise 9C.2 questions 1 (first column), 2ade
Exercise 9C.3 questions 1 (first column), 2a, 3ad, 4ace

## 11 SL: The Ambiguous Case + Trigonometry Problems

Complete the following questions before our next class.

Exercise 8F (red book) questions 1 and 3
Exercise 8E (red book) questions 1, 5, 8, 10, 14

## 12 HL: The Binomial Distribution

Complete the following questions before our next class. (Give the calculator questions a try, but don’t worry if you get stuck, as we’ll talk about those in class.)

Exercise 27F questions 1, 3, 6
Exercise 27G questions 1, 3, 5, 8, 11

## 12 HL: Properties of the Expectation Function

Complete the following questions before our next class.

Exercise 27E questions 1–3, 5

## 12 HL: Variance and Standard Deviation for Probability Distributions

Complete the following questions before our next class.

Exercise 27D questions 1, 4, 8, 10

## 11 SL: The Cosine Rule

Complete the following questions before our next class.

(Red Book) Exercise 8C questions 1abc, 2, 6, 9