Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Probability and Random Variables

9-12

45 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.6

## Why np Min?

#### Activity Overview

This lesson involves examining the general shape of binomial distributions for a variety of values of n and p.

#### Objectives

• Students will understand that normal distributions can be used to approximate binomial distributions whenever both np and n(1 – p) are sufficiently large.
• Students will understand that when either np or n(1 – p) is small, the normal distribution probabilities for impossible numbers of successes (less than 0 or greater than n) are unreasonable.
• Students will formulate guidelines to determine what they mean by sufficiently large for good approximations.

#### Vocabulary

• binomial random variable
• mean
• normal random variable
• number of trials, n
• probability distribution function
• probability of success, p
• standard deviation