Respuesta :
The probability that at least one of them is not wearing a seatbelt is 0.5021.
What is meant by probability?
Potential is described by probability. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of events. Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.
These concepts now have an axiomatic mathematical formalization thanks to probability theory, which is widely employed in disciplines including statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, and philosophy.
Let X be the proportion of drivers who do not use a seat belt. It has a binomial distribution, as shown by,
n=4, p=1-0.84
p=0.16
The likelihood that at least one of them is not wearing seatbelt is:
P(X≥1)=1-P(X<1)
=1-P(X=0)
=1-{(4₀)(0.16)⁰(1-0.16)⁴⁻⁰
=1-0.4979
=0.5021.
Therefore, the probability that at least one of them is not wearing a seatbelt is 0.5021.
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