10C - The binomial distribution
Calculating the binomial distribution:
10C - Example 1: The binomial distribution formula (CAS)
Sarah is a keen cyclist. The probability that she rides her bike on any given day is 0.6. What is the probability that Sarah rides her bike exactly 4 times in 1 week? State your answer correct to 2 decimal places.
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10C - Example 1: Video solution
10C - Example 1: Practice
Question 1: ABC 10C - Example 1: Solutions
Question 1: ABC |
10C - Example 2: The binomial distribution command (CAS)
Jenny has a scoring percentage of 75% in netball. What is the probability that she scores exactly 5 goals if she has 12 scoring opportunities? State your answer correct to 2 decimal places.
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10C - Example 2: Video solution
10C - Example 2: Practice
Question 1: ABC 10C - Example 2: Solutions
Question 1: ABC |
10C - Example 3: The binomial cumulative distribution command (CAS)
Jesse is a basketball player with a free throw shooting percentage of 82%. If he has 10 free throw shooting opportunities in a game, calculate the probability that he scores 7 or more goals. State your answer correct to 2 decimal places.
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10C - Example 3: Video solution
10C - Example 3: Practice
Question 1: ABC 10C - Example 3: Solutions
Question 1: ABC |
Finding the sample size, \(n\), using a CAS calculator:
10C - Example 4: Finding the sample size (CAS)
The probability of winning a game is 0.45. What is the least number of games that must be played to ensure that the probability of winning at least twice is more than 0.95?
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10C - Example 4: Video solution
10C - Example 4: Practice
Question 1: ABC 10C - Example 4: Solutions
Question 1: ABC |
10C - Example 5: Finding the sample size (CAS)
Anne is playing an easy course of Mini Golf. Her probability of getting a hole in one is 0.6. What is the minimum number of games required for the probability of Anne getting a hole in one exactly five times to be more than 25%?
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10C - Example 5: Video solution
10C - Example 5: Practice
Question 1: ABC 10C - Example 5: Solutions
Question 1: ABC |