Choosing the Distribution

Question 1

Weights of puppies, x kg, distributed as f(x) = ax2(5 - x), 0<x<5, find P(X > 4)

Accepted Answer

None of the above

Question 2

Over 100 accidents a year on a given road if the average is 2 per week

Accepted Answer

Poisson

Question 3

A pupil is > 160cm tall if the average height of pupils is 156cm, with variance 20cm

Accepted Answer

0.186

Question 4

Not walking on < 3 days in a working week if there is a 30% probability of walking on any day

Accepted Answer

0.163

Question 5

A pupil is > 160cm tall if the average height of pupils is 156cm, with variance 20cm

Accepted Answer

Normal

Question 6

15% of pupils score above 75 and 30% score below 50 in a test, what is the mean and variance?

Accepted Answer

Normal

Question 7

At least 100 accidents in a 52 week period on a busy road, if the average is 2 per week

Accepted Answer

0.666

Question 8

Not walking on < 3 school days in a week if there is a 30% probability of walking on any day

Accepted Answer

Binomial

Question 9

Weights of French Bulldog puppies, x kg, distributed as f(x) = ax2(5 - x), 0<x<5, find a

Accepted Answer

0.0192, 12/625

Question 10

Weights of puppies, x kg, distributed as f(x) = 0.0192 x2(5 - x), 0<x<5, find E(X)

Accepted Answer

3

Question 11

15% of pupils score above 75 and 30% score below 50 in a test, what is the mean?

Accepted Answer

58.4

Question 12

15% of pupils score above 75 and 30% score below 50 in a test, what is the variance?

Accepted Answer

257

Questions 12