The random variable x is exponentially distributed, where x represents the time it takes for a person to choose a birthday gift. if x has an average value of 25 minutes, what is the probability that x is less than 28 minutes? (do not round until the final step. round your answer to 3 decimal places.)

0.674

Step-by-step explanation:

If the random variable X is exponentially distributed and X has an average value of 25 minutes, then its probability density function (PDF) is

and its cumulative distribution function (CDF) is

So, the probability that X is less than 28 minutes is

< 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

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