The normal approximation to the binomial distribution: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(\displaystyle X\sim\operatorname{Bin}(120,\frac{3}{10})\). Use a normal approximation for the probability calculation below.
Find the approximating normal mean.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The normal approximation to the binomial distribution: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(\displaystyle X\sim\operatorname{Bin}(124,\frac{2}{5})\). Use a normal approximation for the probability calculation below.
Find the approximating normal mean.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The normal approximation to the binomial distribution: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(\displaystyle X\sim\operatorname{Bin}(124,\frac{2}{5})\). Use a normal approximation for the probability calculation below.
Find the approximating normal variance.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The normal approximation to the binomial distribution: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(\displaystyle X\sim\operatorname{Bin}(128,\frac{1}{5})\). Use a normal approximation for the probability calculation below.
Find the approximating normal variance.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The normal approximation to the binomial distribution: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(\displaystyle X\sim\operatorname{Bin}(128,\frac{1}{5})\). Use a normal approximation for the probability calculation below.
Approximate \(\displaystyle P(X\le 27)\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The normal approximation to the binomial distribution: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(\displaystyle X\sim\operatorname{Bin}(132,\frac{3}{10})\). Use a normal approximation for the probability calculation below.
Approximate \(\displaystyle P(X\le 42)\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The normal approximation to the binomial distribution: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(\displaystyle X\sim\operatorname{Bin}(132,\frac{3}{10})\). Use a normal approximation for the probability calculation below.
Give the continuity-corrected lower boundary for \(\displaystyle X\ge 42\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The normal approximation to the binomial distribution: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(\displaystyle X\sim\operatorname{Bin}(136,\frac{2}{5})\). Use a normal approximation for the probability calculation below.
Give the continuity-corrected lower boundary for \(\displaystyle X\ge 57\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.