AIEEE 2007 | Probability Question 182 | Mathematics

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 :

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

$${5 \over 6}$$

$${6 \over 55}$$

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

AIEEE 2005

MCQ (Single Correct Answer)

-1

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

$${2 \over 9}$$

$${1 \over 9}$$

$${8 \over 9}$$

$${7 \over 9}$$

AIEEE 2005

MCQ (Single Correct Answer)

-1

A random variable $$X$$ has Poisson distribution with mean $$2$$.
Then $$P\left( {X > 1.5} \right)$$ equals :

$${2 \over {{e^2}}}$$

$$0$$

$$1 - {3 \over {{e^2}}}$$

$${3 \over {{e^2}}}$$