Let X be normally distributed with mean 100 cm and standard deviation 5 cm. On the diagram below, sh

Question

Let X be normally distributed with mean 100 cm and standard deviation 5 cm. On the diagram below, shade the region representing $P(X > 105)$. Given that $P(X 105)$, find the value of d. Given that $P(X > 105)$ = 0.16 (correct to two significant figures), find $P(d < X < 105)$.

Accepted Answer

Therefore $P(d<X<105)=1-2(0.16)=0.68$.

Use normal-curve symmetry and inverse probabilities to find thresholds.

Use normal-curve symmetry and inverse probabilities to find thresholds.

Solution:

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