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

Answer: C

both a and b

Step-by-step explanation:

Both options A and B deals with the number of trials required for a single success. Thus, they are negative binomial distribution where the number of successes (r) is equal to 1.

The geometric distribution is a special case of the negative binomial distribution that deals with the number of trials required for a single success.

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.