HELP ME PLEASE find m
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Answer:
17.80% probability that all of them are wearing their seat belts.
Step-by-step explanation:
For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.
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.
Police estimate that 25% of drivers drive without their seat belts.
This means that 75% wear their seatbelts, so
If they stop 6 drivers at random, find the probability that all of them are wearing their seat belts.
This is .
17.80% probability that all of them are wearing their seat belts.
You can use the properties of logarithm to get to the solution.
The approximate value for given term is given by
When you raise a number with an exponent, there comes a result.
Lets say you get
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
Some properties of logarithm are:
Thus,
The approximate value for given term is given by
Learn more about logarithm here: