Understanding Geometric Random Variables

What percentage of vehicles registered by Amelia are SUVs?

• 20%

• 10%

• 15%

• 12%

What does the random variable V represent in this context?

• The number of non-SUVs registered in a day

• The number of SUVs registered in a day

• The number of vehicles registered until an SUV is registered

• The total number of vehicles registered in a day

What type of random variable is V?

• Binomial random variable

• Poisson random variable

• Geometric random variable

• Normal random variable

What is the probability of success in each trial?

• 0.25

• 0.50

• 0.88

• 0.12

Why is V not considered a binomial random variable?

• Because the probability of success is not constant

• Because there is no finite number of trials

• Because the trials are not independent

• Because the success metric is not clear

What is the probability that the first four vehicles are not SUVs?

• 0.5997

• 0.88

• 0.7748

• 0.5376

How is the probability that more than four vehicles are registered before an SUV calculated?

• By adding the probabilities of V being 5, 6, 7, etc.

• By dividing the probability of V being 4 by the probability of V being 5

• By subtracting the probability of V being less than or equal to 4 from 1

• By multiplying the probability of V being 1, 2, 3, and 4

What is the probability that more than four vehicles are registered before an SUV?

• 0.7748

• 0.88

• 0.5997

• 0.12

What does a probability of 59.97% indicate in this context?

• A high chance of registering an SUV first

• A certainty of registering more than four vehicles before an SUV

• A low chance of registering more than four vehicles before an SUV

• A slightly better than half chance of registering more than four vehicles before an SUV

What is the complement rule used for in this problem?

• To find the probability of registering exactly four vehicles before an SUV

• To find the probability of registering an SUV first

• To find the probability of registering more than four vehicles before an SUV

• To find the probability of registering less than four vehicles before an SUV