Free Printable exponential distriution

1.

Which one is exponential distribution statement

a)

Number of hours between the flight landing

b)

Number of flights landing in 2 hours

2.

exponential distribution is a (a) of poisson

3.

What is the mean formula for exponential distribution

a)

$\int_0^{\infty}\ x\lambda e^{-x\lambda}dx$

b)

$\int_{-\infty}^0x\lambda e^{-x\lambda}dx$

c)

$\int_0^{\infty}x\lambda e^{-\lambda x}dx$

d)

$\int_{-\infty}^0x\lambda e^{-\lambda x}dx$

4.

Find $\int_0^{\infty}x\lambda e^{-\lambda x}dx$

a)

$-\frac{1}{\lambda}$

b)

$\frac{1}{\lambda}$

c)

$\lambda$

d)

$-\lambda$

5.

What is variance formula for exponential distribution

a)

$E\left(X\right)^2-E\left(X^2\right)$

b)

$E\left(X^2\right)-E\left(X\right)^2$

c)

$E\left(X\right)^2-E\left(X\right)$

d)

$E\left(X^2\right)-E\left(X\right)$

6.

Assume that the time of a customer make an order in minutes is an exponential random variable X with parameter $\frac{1}{5}$ . The probability to take next order is less than 5 minutes. Find $\lambda$ and x.

a)

$\lambda=5\$ x=5

b)

$\lambda=\frac{1}{5}$ x=1/5

c)

$\lambda=5$ x=0.2

d)

$\lambda=0.2$ x=5

7.

Find $\lambda$ and x

a)

$\lambda$ =1/10, x=10

b)

$\lambda$ =10 , x=5

c)

$\lambda$ =1/10 , x=5

8.

Find E(X) and variance

a)

E(X)=1/4

b)

E(x)=4

c)

var(X)=16

d)

Var(X)=8

9.

How long will it take before a call center receives the next phone call. With parameter 1/15. Find the probability the next phone call between 5 and 10 minutes.

a)

0.2031

b)

0.7401

c)

0.2599

d)

0.7969

10.

Which one is exponential distribution statement

a)

The time of a customer make an order

b)

Number of order in 1 hour

exponential distriution - mean and variance

Total questions: 10

Worksheet time: 8mins

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