Geometric Random Variable Probability

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets. What is the probability that she does NOT sell a garment until the 7th customer? Assume each customer is independent.

• 0.033

• 0.027

• 0.0313

• Not here

At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds.  Find the probability that out of the next eight eastbound cars that arrive randomly at the light,exactly three will be stopped by a red light.

• 0.254

• 0.147

• 0.027

• 0.1940

counts the number of trials needed to obtain the 1st success. X = 1,2,3,…

• Geometric

• Binomial

• Both

• Neither

Find the geometric probability of a marble falling on the shaded region of the figure. 

• 15.3%

• 24.5%

• 26.9%

• 21.5%

A game at the state fair has a circular target with a radius of 12 centimeters on a square board measuring 30 centimeters on each side, as shown. In order for a player to win a prize, they must hit the shaded region outside the circle. What is the probability of a player winning a prize?

• 0.503

• 0.16

• 0.497

The variable of interest is the number of trials required to obtain the first success

• Geometric

• Binomial

• Both

• Neither

Alma wrote a phone app. She has noticed that 3% of the users who download her app upgrade it the same day. Let N be the number of customers who download Alma's app until one upgrades it on the same day. Assume that the probability of each user's upgrades are independent.What type of variable is N?

• Geometric

• Binomial

• Both

• Neither

If we want to calculate the probability of rolling a 6 for the first time on the 6^th roll of a die, would we use the geometric or the binomial distribution?

• geometric

• binomial

If you want to know how many trials you will need before your first success, use the ????? model.

• Geometric

• Binomial

• Normal

• Calculator

A student is flipping a coin repeatedly until they get heads for the first time. What is the probability that it takes exactly 4 flips to get the first heads?

• Binomial

• Geometric