Further Statistics 1 Quiz

Question 1

In a Normal distribution, what proportion of values are distributed at a distance of more than 1.5 SDs from the mean?

Accepted Answer

0.1336

Question 2

The chi-squared distribution is a decreasing function for which degrees of freedom?

Accepted Answer

2, 1

Question 3

How many different ways can the letters CHAFFINCH be arranged?

Accepted Answer

45360

Question 4

What is the probability it takes 20 rolls of a fair die to get 2 sixes?

Accepted Answer

0.0198

Question 5

How many degrees of freedom does a Poisson goodness of fit test have for the following data?

Accepted Answer

6

Question 6

Which of the following is a Type II error

Accepted Answer

Rejecting H1 when it is true

Question 7

Given that E(X) = 6 and E(X2) = 40, what is the value of var(πX+3)?

Accepted Answer

4π2

Question 8

What is not a famous modelling application of the Poisson distribution?

Accepted Answer

The arrival of trains on the Moscow Metro

Question 9

If X~Geo(0.1), what is E(X)?

Accepted Answer

10

Question 10

What type of RVs does the Poisson distribution model?

Accepted Answer

Discrete

Question 11

To test if a coin is biased against heads, you flip it 30 times. What is the critical region?

Accepted Answer

Number of heads < 11

Question 12

Which department of the University of Cambridge studies mathematical statistics?

Accepted Answer

DPMMS

Question 13

If X~Poisson(4.2) what is P(X>2)?

Accepted Answer

0.788

Question 14

Given that E(X) = 12 and E(Y) = 5, what is the value of E(3X - 4Y)?

Accepted Answer

16

Question 15

Which of the following best describes the events in a Poisson distribution?

Accepted Answer

independent, random, occurring at a constant average rate

Question 16

To test if a coin is biased against heads, you flip it 30 times. What is α?

Accepted Answer

0.0494

Question 17

Which of the following is a Type I error

Accepted Answer

Rejecting H0 when it is true

Question 18

It is reasonable to approximate a binomial distribution with a Poisson distribution when ...

Accepted Answer

n is large, p is small

Question 19

A sample of 100 observations is taken from X~Poisson(1.8). The mean can be modelled by

Accepted Answer

N(1.8, 1.8/100)

Question 20

If X~Geo(0.1) what is P(X>20)?

Accepted Answer

0.122

Questions 20