At a car rental agency, 0.34 of the cars are returned on time. A sample of 13 car rentals is studied. What is the probability that more than 3 of them are returned on time?
Write only a number as your answer. Round to 2 decimal places ( for example: 0.24). Do not write as a percentage.
pls help!
To find the probability that more than 3 cars are returned on time, we need to use the binomial probability formula.
The formula for the probability of getting exactly k successes in n trials is:
P(k) = (n C k) * p^k * (1-p)^(n-k)
Where:
- n is the number of trials
- k is the number of successes
- p is the probability of success in a single trial (0.34)
- (n C k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials
In this case, we want to find the probability that more than 3 out of 13 rentals are returned on time.
To do this, we need to calculate the probabilities for k = 4, 5, 6, ..., 13 and add those probabilities together.
P(more than 3) = P(4) + P(5) + P(6) + ... + P(13)
To find each individual probability, we can use the formula mentioned above. We can then use a calculator or a computer to perform the calculations.
Note: Calculating these probabilities manually can be time-consuming and prone to error. Using a statistical software or a calculator with built-in binomial probability functions is recommended.
Let's use a calculator to find the answer.