Home
Class 12
MATHS
The number of persons joining a cinema t...

The number of persons joining a cinema ticket counter in a minute has poisson distribution with parameter 6. Find the probability that (i) no one joins the queue in a particular minute (ii) two or more persons join the queue in a minute

Text Solution

Verified by Experts

The correct Answer is:
`=1-7.e^(-6)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Thee number of persons joining a cinema ticket counter is a minute has Poisson distribution with parameter 6. Find the probability that i) no one joins the queue in a particular minute ii) two or more persons join the queue is a minute.

A bag contains tickets numbered from 1 to 20. Two tickets are drawn. find the probability that i. both the tickets have prime numbers on them ii. on one there is a prime number and on the other there is a multiple of 4.

In a telephone enquiry system, the number of phone calls regarding relevant enquiry follow poisson distribution with an average of five 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

Three persons A, B and C shoot to hit a target. Their probabilities of hitting the target are (5)/(6),(4)/(5) and (3)/(4) respectively. Find the probability that: (i) Exactly two persons hit the target. (ii) At least one person hits the target.

A committee of 4 persons has to be chosen from 8 boys and 6 girls, consisting of at least one girl. Find the probability that the committee consists of more girls than boys.

An electric kettle has two coils. When one of these is switched on, the water in the kettle boils in 6 minutes. When the other coil is switched on, the water boils in 3 minutes. If the two coils are connected in series, find the time taken to boil the water in the kettle.

There are 15 points in a plane, no three of which are in the same straight line with the exception of 6, which are all in the same straight line. Find the number of i. straight lines formed, ii. number of triangles formed by joining these points.

A firm manufactures two types of products, A and B, and sells them at a profil of 3 per unit to type B product and 5 perunit of type A product. Both product is processed on two machines M1and M2 One unit of type A requires one minute of processing time on M1 and two minutes of processing time on M2i whereas one unit of type B requires one minute of processing time on M1 and one minute on M Machines sells them at a profit of 5 per unit of type A and M, and M, are respectively available for at most 5 hours and 6 hours in a day. Find out how many units of each type of product the firn should produce a day in order to maximize the profit. Solve the problem graphically [CHSE 2000]

Two persons are 'a' metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter post is (a) a/4 (b) a/(sqrt(2)) (c) asqrt(2) (d) a/(2sqrt(2))

A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is (i) extremely patient (ii) extremely kind or honest. Which of the above you prefer more.