Question
Statistics show that 92 out of every 100 adults are at least 150cm tall. What is the probability that a person chosen at random from a large crowd is less than 150cm tall?
Answers
GPT-4o mini
Given that 92 out of every 100 adults are at least 150 cm tall, we can deduce the probability that a randomly chosen person is less than 150 cm tall.
To find this probability, we can compute it as follows:
1. The probability that a person is at least 150 cm tall is \(\frac{92}{100} = 0.92\).
2. Therefore, the probability that a person is less than 150 cm tall is complementary to this probability.
So, we calculate:
\[
P(\text{less than 150 cm}) = 1 - P(\text{at least 150 cm}) = 1 - 0.92 = 0.08.
\]
Thus, the probability that a randomly chosen person is less than 150 cm tall is:
\[
\boxed{0.08} \text{ or } 8\%.
\]
To find this probability, we can compute it as follows:
1. The probability that a person is at least 150 cm tall is \(\frac{92}{100} = 0.92\).
2. Therefore, the probability that a person is less than 150 cm tall is complementary to this probability.
So, we calculate:
\[
P(\text{less than 150 cm}) = 1 - P(\text{at least 150 cm}) = 1 - 0.92 = 0.08.
\]
Thus, the probability that a randomly chosen person is less than 150 cm tall is:
\[
\boxed{0.08} \text{ or } 8\%.
\]