Which of the following predictions can be calculated using a geometric distribution?
a. the number of expeditions that will reach the top of Mount Everest this year
b. the number of trucks a weigh station will inspect before finding one that is overloaded
c. both of the above
d. neither of the above

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Answer:

b. the number of trucks a weigh station will inspect before finding one that is overloaded.

Step-by-step explanation:

A geometric distribution is a type of probability distribution that done repeatedly until the first success is observed.

Option b expresses a distribution that has one single success. The weighing of the trucks continues until one that is overloaded is found. This implies that the weighing would stop when the first overloaded truck is found, which is a form of geometric distribution.

Option a does not require a single outcome because more than one, or even none,  could reach the top of Mount Everest in the year.

b. the number of trucks a weigh station will inspect before finding one that is overloaded.

  • A geometric distribution is a discrete probability distribution that indicates the likelihood of achieving one's first success after a series of failures.
  • The number of trials in a geometric distribution can go on indefinitely until the first success is achieved.
  • Geometric distribution can be used to find the prediction regarding b. the number of trucks a weigh station will inspect before finding one that is overloaded.

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