Maths4U Original · Short practice

\(X\sim N(66,2^2)\). A cumulative normal probability supplied for the inverse calculation is \(\displaystyle \Phi(\frac{6}{5})\).

Find P(X below 68.4).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(X\sim N(69,3^2)\). A cumulative normal probability supplied for the inverse calculation is \(\displaystyle \Phi(\frac{7}{5})\).

Find P(X below 73.2).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(X\sim N(69,3^2)\). A cumulative normal probability supplied for the inverse calculation is \(\displaystyle \Phi(\frac{7}{5})\).

Find P(66

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(X\sim N(72,4^2)\). A cumulative normal probability supplied for the inverse calculation is \(\displaystyle \Phi(\frac{8}{5})\).

Find P(68

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(X\sim N(72,4^2)\). A cumulative normal probability supplied for the inverse calculation is \(\displaystyle \Phi(\frac{8}{5})\).

Find the value x with P(X≤x)=the supplied cumulative probability.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(X\sim N(75,5^2)\). A cumulative normal probability supplied for the inverse calculation is \(\displaystyle \Phi(\frac{4}{5})\).

Find the value x with P(X≤x)=the supplied cumulative probability.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(X\sim N(75,5^2)\). A cumulative normal probability supplied for the inverse calculation is \(\displaystyle \Phi(\frac{4}{5})\).

Find the variance of X.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(X\sim N(78,2^2)\). A cumulative normal probability supplied for the inverse calculation is \(\Phi(1)\).

Find the variance of X.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.