binomial continuity correction

Question 1

What is the binomial continuity correction for p(x=10)

Answer 1

p(9.5<x<10.5) - adding 0.5 to both bounds

Question 2

What is the binomial continuity correction for p(x<10)

Answer 2

p(x<9.5)

Question 3

What is the binomial continuity correction for p(x>10)

Answer 3

p(x>10.5)

why? if x is greater than 10 must be greater than upper bound of 10 whic

Question 4

What is the binomial continuity correction for p(x>=10)

Answer 4

p(x>9.5)

why? because if x can be equal to 10 then lower bound of 10 is 9.5

Question 5

What is the binomial continuity correction for p(x<=10)

Answer 5

p(x<10.5)

why? if x can be equal to 10 must be less than upper bound of 10

Question 6

p(9<x<11)

Answer 6

P(8.5<x<11.5)

check it from textbook plz