Modelling with the normal distribution: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A normal X satisfies \(\displaystyle P(X\le \frac{75}{2})= \Phi (- \frac{1}{2}), \ P(X\le \frac{213}{5})= \Phi (\frac{6}{5})\). Here Φ is the standard normal CDF.
Find the standard deviation of X.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Modelling with the normal distribution: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A normal X satisfies \(\displaystyle P(X\le 38)= \Phi (- \frac{1}{2}), \ P(X\le \frac{224}{5})= \Phi (\frac{6}{5})\). Here Φ is the standard normal CDF.
Find the standard deviation of X.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Modelling with the normal distribution: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A normal X satisfies \(\displaystyle P(X\le 38)= \Phi (- \frac{1}{2}), \ P(X\le \frac{224}{5})= \Phi (\frac{6}{5})\). Here Φ is the standard normal CDF.
Find the mean of X.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Modelling with the normal distribution: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A normal X satisfies \(\displaystyle P(X\le \frac{77}{2})= \Phi (- \frac{1}{2}), \ P(X\le 47)= \Phi (\frac{6}{5})\). Here Φ is the standard normal CDF.
Find the mean of X.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Modelling with the normal distribution: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A normal X satisfies \(\displaystyle P(X\le \frac{77}{2})= \Phi (- \frac{1}{2}), \ P(X\le 47)= \Phi (\frac{6}{5})\). Here Φ is the standard normal CDF.
Find P(X>40).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Modelling with the normal distribution: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A normal X satisfies \(\displaystyle P(X\le 41)= \Phi (- \frac{1}{2}), \ P(X\le \frac{222}{5})= \Phi (\frac{6}{5})\). Here Φ is the standard normal CDF.
Find P(X>40).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Modelling with the normal distribution: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A normal X satisfies \(\displaystyle P(X\le 41)= \Phi (- \frac{1}{2}), \ P(X\le \frac{222}{5})= \Phi (\frac{6}{5})\). Here Φ is the standard normal CDF.
Find the 90th percentile of X.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Modelling with the normal distribution: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A normal X satisfies \(\displaystyle P(X\le \frac{83}{2})= \Phi (- \frac{1}{2}), \ P(X\le \frac{233}{5})= \Phi (\frac{6}{5})\). Here Φ is the standard normal CDF.
Find the 90th percentile of X.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.