Question

Q.P2) The number of students who seek assistance with theirstatistics assignments is Poisson distributed with a mean oftwo per day. a. What is the probability that no studentsseek assistance tomorrow? b. Find the probability that 10students seek assistance in a week.​

Answer 1

Answer:

Poisson distribution is a widely used discrete probability distribution. It is used in situation where the probability of happening of an event is very small. In this, the mean and variance are equal.

Step-by-step explanation:

The probability distribution of Poisson distribution is:

P

(

X

=

K

)

=

λ

K

e

−

λ

K

!

(a) The probability that no student seek assistance is:

P(X=0)=2

0

e

−

2

0

!

=

1

×

e

−

2

1

=

e

−

2

=

(

2.718

)

−

2

=

0.1353

(b) The number of students who seek assistance in a week are

And so, the mean for a week is 14.

The probability of 10 students seeking assistance in a week is:

P

(

X

=

10

)

=

14

10

e

−

14

10

!

=

289

,

254

,

654

,

976

×

e

−

14

3

,

628

,

800

=

79

,

710.828

×

e

−

14

=

79

,

710.828

×

(

2.718

)

−

14

=

0.06628

Answer 2

Answer:

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