QJEEM06Ma3c3e: JEE Main 2006 Mathematics - Class 12 JEEM06Ma3c3e Solution: At a telephone enquiry system the number of phone cells…

Question

Verified Solution • 2025–26 Session moderate

At a telephone enquiry system the number of phone cells regarding relevant enquiry follow Poisson distribution with an average of

5

phone calls during

10

minute time intervals. The probability that there is at the most one phone call during a

10

-minute time period is :

Accepted Answer

Required probability

$= P(X = 0) + P(X = 1)$

$= {{{e^{ - 5}}} \over {0!}}{5^0} + {{{e^{ - 5}}} \over {1!}}{5^1}$

$= {e^{ - 5}} + 5{e^{ - 5}}$

$= {6 \over {{e^5}}}$

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