Here, \(\displaystyle{X}\sim{N}{\left({45},{6.2}\right)}\).

The probability that a randomly selected person has a value less than 40 is calculated as follows:

\(\displaystyle{P}{\left({X}{<}{40}\right)}={P}{\left({\frac{{{X}-\mu}}{{\sigma}}}{<}{\frac{{{40}-{45}}}{{{6.2}}}}\right)}\)</span>

\(\displaystyle={P}{\left({z}{<}-{0.81}\right)}{\left[{F}{r}{o}{m}\ {t}{h}{e}\ {s}{\tan{{d}}}{a}{r}{d}\ {\left\|{a}\right\|}{l}\ {t}{a}{b}\le,\ {P}{\left({z}{<}-{0.81}\right)}={0.2090}\right]}={0.2090}\)</span>

The probability that a randomly selected person has a value less than 40 is 0.2090.

The probability that a randomly selected person has a value less than 40 is calculated as follows:

\(\displaystyle{P}{\left({X}{<}{40}\right)}={P}{\left({\frac{{{X}-\mu}}{{\sigma}}}{<}{\frac{{{40}-{45}}}{{{6.2}}}}\right)}\)</span>

\(\displaystyle={P}{\left({z}{<}-{0.81}\right)}{\left[{F}{r}{o}{m}\ {t}{h}{e}\ {s}{\tan{{d}}}{a}{r}{d}\ {\left\|{a}\right\|}{l}\ {t}{a}{b}\le,\ {P}{\left({z}{<}-{0.81}\right)}={0.2090}\right]}={0.2090}\)</span>

The probability that a randomly selected person has a value less than 40 is 0.2090.