in a large city 65% of people pass the drivers road test suppose that every day 400 independently take the test complete part eight through D below. what is the number of people who are expected to pass?

To calculate the number of people expected to pass the driver's road test, we can use the following formula:

\[
\text{Expected number of people} = p \times n
\]

where:
- \( p \) is the probability of passing (65% or 0.65),
- \( n \) is the number of people taking the test (400).

Now, applying the values:

\[
\text{Expected number of people} = 0.65 \times 400 = 260
\]

So, **260 people** are expected to pass the test.

Would you like further details on this? Here are some related questions to explore:

1. How would the expected number change if the passing rate increased to 70%?
2. What is the probability that fewer than 260 people pass the test on a given day?
3. How would you calculate the standard deviation of people passing the test?
4. What distribution can be used to model the number of people passing the test each day?
5. If only 200 people took the test on a certain day, how many would be expected to pass?

**Tip:** When solving probability problems, always verify if the distribution assumptions (like independence) are valid for accurate results.

In a large city 65% of people pass the driver's road test. Suppose that every day 400 independently take the test. Complete part A through D below. What is the number of people who are expected to pass?

Calculate the expected number of people passing the driver's test in a large city where 65% pass the test and 400 people take it daily. This problem involves key probability concepts and the expected value formula. Suitable for Grades 9-11.

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