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

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

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

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

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