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Patrick is practising his skateboarding skills - AQA - A-Level Maths Mechanics - Question 13 - 2019 - Paper 3
Question 13
Patrick is practising his skateboarding skills. On each day, he has 30 attempts at performing a difficult trick. Every time he attempts the trick, there is a probab... show full transcript
Worked Solution & Example Answer:Patrick is practising his skateboarding skills - AQA - A-Level Maths Mechanics - Question 13 - 2019 - Paper 3
Step 1
Find the mean number of times he falls off in a day.
Answer
To find the mean number of falls in a binomial distribution, we use the formula:
Where:
- ( n ) is the number of trials (in this case, 30 attempts),
- ( p ) is the probability of falling off (which is 0.2).
Substituting the given values:
Therefore, the mean number of times Patrick falls off in a day is 6.