Bernoulli and binomial distributions

STA 112. Practice questions, not past papers.

Lessons

• Recognise the model
• Derive and use binomial results

Practice questions

1. Which condition is required for a binomial model?

   Statistics study edition practice item Q136; Source: T74-84, S28-35, S41

2. A Bernoulli variable has which support?

   Statistics study edition practice item Q137; Source: T74-84, S28-35, S41

3. The mean of Bin(n,p) is what?

   Statistics study edition practice item Q138; Source: T74-84, S28-35, S41

4. At least r successes means which event?

   Statistics study edition practice item Q139; Source: T74-84, S28-35, S41

5. X~Bin(5,0.5). Find P(X=2). Give the value to 4 decimal places.

   Statistics study edition practice item Q140; Source: T77-83, S33-35

6. X~Bin(6,0.5). Find P(X=2). Give the value to 4 decimal places.

   Statistics study edition practice item Q141; Source: T77-83, S33-35

7. X~Bin(8,0.25). Find P(X=0). Give the value to 4 decimal places.

   Statistics study edition practice item Q142; Source: T77-83, S33-35

8. X~Bin(4,0.3). Find P(X=2). Give the value to 4 decimal places.

   Statistics study edition practice item Q143; Source: T77-83, S33-35

9. X~Bin(10,0.2). Find P(X=1). Give the value to 4 decimal places.

   Statistics study edition practice item Q144; Source: T77-83, S33-35

10. For X~Bin(14,0.2), find P(X≤2), correcting the source arithmetic. Give the value to 4 decimal places.

    Statistics study edition practice item Q145; Source: T80-83

Topic gap report