Normal Distribution and Time Analysis

The video tutorial covers the normal distribution, a key topic in exams, accounting for 30-40% of the total score. It categorizes questions into three types: simple normal distribution calculations, mixing binomial and normal distributions, and finding unknown parameters. The video focuses on type 1, explaining three styles: probability calculations, finding constants, and expected values. Examples are provided for each style, demonstrating how to solve these problems using Z-values and formula sheets. The tutorial concludes with a preview of types 2 and 3, ensuring comprehensive coverage of normal distribution questions.

What percentage of the exam is typically accounted for by questions on the normal distribution?

• 10-20%

• 30-40%

• 50-60%

• 70-80%

How many types of normal distribution questions are there according to the video?

• Two

• Five

• Three

• Four

What is the focus of Type 1 normal distribution questions?

• Data interpretation

• Graphical analysis

• Complex calculations

• Simple calculations

In Type 1 questions, what is the first style of question discussed?

• Finding a constant

• Probability calculations

• Data analysis

• Graph plotting

What is the mean time Peter takes to walk to the shop in the example?

• 10.5 minutes

• 11.5 minutes

• 9.5 minutes

• 8.5 minutes

What is the standard deviation of the time Peter takes to walk to the shop?

• 3.3

• 2.3

• 1.3

• 0.3

What is the probability that Peter takes longer than 10.2 minutes to walk to the shop?

• 0.495

• 0.195

• 0.395

• 0.295

In the example, what is the Z value corresponding to X being greater than 10.2?

• 0.438

• 0.738

• 0.638

• 0.538

What is the second style of Type 1 questions?

• Finding a constant

• Data analysis

• Probability calculations

• Graph plotting

What is the value of T if 90% of the days Peter takes longer than T minutes?

• 6.83

• 7.83

• 8.83

• 9.83