Binomial Probability Concepts

This video tutorial explains how to calculate binomial probabilities by hand. It provides two examples: one with n=8 and p=0.2 to find the probability of x=1, and another with n=9 and p=0.3 to find the probability of x=4. The tutorial covers the use of factorial notation and simplification of expressions to arrive at the final probabilities, which are also expressed as percentages.

What is the main focus of this video tutorial?

• Exploring Desmos for graphing

• Learning about normal distribution

• Using TI-84 for calculations

• Determining binomial probability by hand

In the first example, what is the probability of success (p)?

• 0.2

• 0.3

• 0.8

• 0.5

How many trials (n) are there in the first example?

• 12

• 8

• 10

• 5

What is the value of 'k' in the first example?

• 3

• 1

• 4

• 2

What is the approximate probability of x=1 in the first example?

• 0.4455

• 0.2355

• 0.3355

• 0.1255

In the second example, what is the number of trials (n)?

• 9

• 7

• 11

• 5

What is the probability of success (p) in the second example?

• 0.3

• 0.5

• 0.2

• 0.4

What is the value of 'k' in the second example?

• 5

• 3

• 2

• 4

What is the approximate probability of x=4 in the second example?

• 0.1715

• 0.2715

• 0.0715

• 0.3715

What is the percentage equivalent of the probability found in the second example?

• 27.15%

• 17.15%

• 7.15%

• 37.15%