Among 25- to 30-year-olds, 28% say they have operated heavy machinery while under the influence of alcohol. Suppose three 25- to 30-year-olds are selected at random. Complete parts (a) through (d) below. (a) What is the probability that all three have operated heavy machinery while under the influence of alcohol? (Round to four decimal places as needed.) (b) What is the probability that at least one has not operated heavy machinery while under the influence of alcohol? (Round to four decimal places as needed.) (c) What is the probability that none of the three have operated heavy machinery while under the influence of alcohol? (Round to four decimal places as needed.) (d) What is the probability that at least one has operated heavy machinery while under the influence of alcohol? (Round to four decimal nlares ac neaded i

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### Probability Exercise on Heavy Machinery Operation under the Influence

**Context:** Among individuals aged 25 to 30, 28% report having operated heavy machinery while under the influence of alcohol. In this exercise, three people from this age group are selected at random. Use the following questions to understand the probabilities related to this scenario.

#### Questions:

**(a) What is the probability that all three have operated heavy machinery while under the influence of alcohol?**  
*(Round to four decimal places as needed.)*

**(b) What is the probability that at least one has not operated heavy machinery while under the influence of alcohol?**  
*(Round to four decimal places as needed.)*

**(c) What is the probability that none of the three have operated heavy machinery while under the influence of alcohol?**  
*(Round to four decimal places as needed.)*

**(d) What is the probability that at least one has operated heavy machinery while under the influence of alcohol?**  
*(Round to four decimal places as needed.)*

*Enter your answer in each of the answer boxes.*
Transcribed Image Text:### Probability Exercise on Heavy Machinery Operation under the Influence **Context:** Among individuals aged 25 to 30, 28% report having operated heavy machinery while under the influence of alcohol. In this exercise, three people from this age group are selected at random. Use the following questions to understand the probabilities related to this scenario. #### Questions: **(a) What is the probability that all three have operated heavy machinery while under the influence of alcohol?** *(Round to four decimal places as needed.)* **(b) What is the probability that at least one has not operated heavy machinery while under the influence of alcohol?** *(Round to four decimal places as needed.)* **(c) What is the probability that none of the three have operated heavy machinery while under the influence of alcohol?** *(Round to four decimal places as needed.)* **(d) What is the probability that at least one has operated heavy machinery while under the influence of alcohol?** *(Round to four decimal places as needed.)* *Enter your answer in each of the answer boxes.*
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