Question

Find the probability that more than x% of the sampled adults drink coffee daily:

a) Less than x%
b) Exactly x%
c) More than x%
d) Cannot be determined from the information given

Answer 1

To find the probability that more than x% of the sampled adults drink coffee daily, calculate the z-score and use the standard normal distribution table.

Step-by-step explanation:

a. The probability that more than x% of the sampled adults drink coffee daily can be found using a normal distribution. We can calculate the z-score for the given x-value and use a standard normal distribution table to find the probability. The z-score formula is z = (x - mean) / standard deviation. For example, if x = 50%, mean = 45%, and standard deviation = 5%, the z-score would be (50 - 45) / 5 = 1.

b. Similarly, we can find the probability that exactly x% of the sampled adults drink coffee daily by calculating the z-score and using the standard normal distribution table.

c. To find the probability that more than x% of the sampled adults drink coffee daily, we would calculate the area under the curve to the right of the z-score.

d. The probability cannot be determined from the information given if we do not know the mean and standard deviation of the population.