On a dry surface, the distribution of the braking distances (in meters) of Honda Accords can be approximated by a normal distribution with a mean of 45 and a standard deviation of 0.5. Find a cutoff value for the braking distance such that only 5% of Honda Accords have braking distances greater than it (round off to two decimal places).

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

1. minimum

2. 6400

3. eight

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