Module 10 Normal Distribution

Module 10 Normal Distribution

Review of Sequence and Series

Normal Distribution definitions

Desmos usage

Multiple Choice

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Multiple Choice

Evaluate the infinite geometric series:

1 + 1/5 + 1/25 + ...

• 5/4

• 9/5

• 5/6

• 65/27

Multiple Choice

Evaluate the geometric series $1-2+4-8,\ ...,\ \ \ \ \ \ \ n=8$  

•  $\frac{1}{3}$  

• -86

• -87

• -85

Multiple Choice

What shape is a normal distribution curve?

• Half curve
• Round curve
• Bell curve
• Square curve

Multiple Choice

The area of the normal distribution curve (aka Bell Curve) is

• 1

• 0

• 2

Multiple Choice

The answers to normal distribution is a percentage, therefore the answers will be

• a whole number (like 1, 2, 3 4 etc..)

• A decimal less than 1 (like 0.234, 0.982)

Multiple Choice

Using the Emperical Rule, how much data is within 1 standard deviation of the mean?

• 0.68

• 0.95

• 0.99.7

Multiple Choice

Using the Emperical Rule, how much data is within 2 standard deviations of the mean?

• 0.68

• 0.95

• 0.99.7

Multiple Choice

μ = 70 , σ = 8 , X = 50 . Find z score

• 2.5
• -2.5
• 5.2
• -5.2

Multiple Choice

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  

• 2
• 1
• -2
• -1

Multiple Choice

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.
• 24,000 km and 34,000 km.
• 26,000 km and 34,000 km.
• 27,000 km and 31,000 km.

Poll

How are you feeling as we finish this lesson?

• Pretty Good - this is making sense.

• Okay - I have an idea of what to do.

• Confused - I need to get more information

• I don't know how I feel.. TBD.