Distributions Review 1

Question 1

Which of the following is NOT an assumption made when applying the poisson distribution?

Accepted Answer

The random variable is discrete

Question 2

17.4% of Y9 scored above 75 in a test. The mean mark was 60. What is the standard deviation?

Accepted Answer

16

Question 3

Which of the following is NOT a property of the binomial distribution?

Accepted Answer

Trials are dependent on one another

Question 4

The mean height of students is 1.56m with a variance of 0.2m2. Calculate P(H>160cm)

Accepted Answer

0.186

Question 5

The mean height of students is 1.56m with a variance of 0.2m2. The most likely distribution is:

Accepted Answer

Normal

Question 6

The average no. of accidents on a road is 2 per week. The no. of accidents may be modelled by..

Accepted Answer

Poisson

Question 7

15% of Y9 score above 75 in a test. 30% got under 50. A random Y9's mark could be modelled by..

Accepted Answer

The normal distribution

Question 8

P(rain)=0.3 on any day. In the next week, calculate P(less than 3 days of rain).

Accepted Answer

0.647

Question 9

There is a 30% chance of raining on any day. The number of days it rains in the next week is...

Accepted Answer

Binomial

Question 10

The average no. of accidents on a road is 2 per week. Calculate P(more than 100 in a year)

Accepted Answer

0.629

Questions 10