Probability between two values

Questions asking for probability that X lies between two values (e.g., P(a < X < b) or P(a ≤ X ≤ b)) using normal approximation with continuity correction.

2 questions

CAIE S1 2023 June Q2

2 Anil is a candidate in an election. He received \(40 \%\) of the votes. A random sample of 120 voters is chosen. Use an approximation to find the probability that, of the 120 voters, between 36 and 54 inclusive voted for Anil.

CAIE S1 2010 November Q2

2 On average, 2 apples out of 15 are classified as being underweight. Find the probability that in a random sample of 200 apples, the number of apples which are underweight is more than 21 and less than 35.