Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:
When
We have that:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
