1. Binomial Distribution: Inequalities for cumulative probabilities
Silent
Teacher
Intelligent Practice
Narration
Your Turn
𝑃 𝑋>6
𝑃 𝑋≥7
𝑃 𝑋≥8
Practice

2. Write the following in terms of cumulative probabilities
Worked Example
Your Turn
Write the following in terms of cumulative probabilities
Write the following in terms of cumulative probabilities
𝑃 𝑋<14
𝑃 𝑋<11
𝑃 𝑋>16
𝑃 𝑋≥16
@niknakscott

3. 𝑃 𝑋<5 𝑃 10≤𝑋≤13 𝑃 𝑋<6 𝑃 10<𝑋≤13 𝑃 𝑋>6 𝑃 10<𝑋<13
𝑃 𝑋>7
𝑃 10≤𝑋<13
𝑃 𝑋≥7
𝑃 "𝑎𝑡 𝑙𝑒𝑎𝑠𝑡 13"
𝑃 𝑋≥8
𝑃 "𝑚𝑜𝑟𝑒 𝑡ℎ𝑎𝑛 13"
𝑃 𝑋≥10
𝑃 "𝑛𝑜 𝑚𝑜𝑟𝑒 𝑡ℎ𝑎𝑛 13"
@niknakscott

4. 𝑃 𝑋<5 = 𝑃 𝑋≤4 𝑃 𝑋<6 = 𝑃 𝑋≤5 𝑃 𝑋>6 =1− 𝑃 𝑋≤6 𝑃 𝑋>7
=1− 𝑃 𝑋≤7
𝑃 𝑋≥7
=1− 𝑃 𝑋≤6
𝑃 𝑋≥8
=1− 𝑃 𝑋≤7
𝑃 𝑋>10
=1− 𝑃 𝑋≤9
@niknakscott

5. 𝑃 10≤𝑋≤13 =𝑃 𝑋≤13 − 𝑃 𝑋≤9 𝑃 10<𝑋≤13 =𝑃 𝑋≤13 − 𝑃 𝑋≤10
𝑃 10<𝑋<13
=𝑃 𝑋≤12 − 𝑃 𝑋≤10
𝑃 10≤𝑋<13
=𝑃 𝑋≤12 − 𝑃 𝑋≤9
𝑃 "𝑎𝑡 𝑙𝑒𝑎𝑠𝑡 13"
=1 − 𝑃 𝑋≤12
𝑃 "𝑚𝑜𝑟𝑒 𝑡ℎ𝑎𝑛 13"
=1 − 𝑃 𝑋≤13
𝑃 "𝑛𝑜 𝑚𝑜𝑟𝑒 𝑡ℎ𝑎𝑛 13"
= 𝑃 𝑋≤13
@niknakscott