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Find the probability that more than 73% out of 300 of the sample have a driver's license.

a) 0.25
b) 0.50
c) 0.75
d) 1.0

1 Answer

1 vote

Final answer:

To find the probability that more than 73% out of 300 of the sample have a driver's license, we need to use the normal distribution. We can calculate the z-score for the given percentage and then find the corresponding probability in the standard normal distribution table. The probability of more than 73% will be 1 minus the probability found in the table.

Step-by-step explanation:

To find the probability that more than 73% out of 300 of the sample have a driver's license, we need to use the normal distribution. Assuming that the distribution of driver's licenses in the sample follows a normal distribution, we can calculate the z-score for the given percentage.

First, let's find the mean and standard deviation of the sample. The mean is 73% of 300, which is 219. The standard deviation is the square root of the product of the sample size, the probability of success (1 - 0.73), and the probability of failure (0.73).

Once we have the mean and standard deviation, we can calculate the z-score using the formula: z = (x - mean) / standard deviation, where x is the desired percentage (73%) converted to a decimal.

Finally, we can look up the corresponding probability in the standard normal distribution table using the z-score. The probability of more than 73% out of 300 of the sample having a driver's license will be 1 minus the probability found in the table. Therefore, the correct answer is d) 1.0.

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