If a Procedure Meets All the Conditions of a Binomial $P ( x ) = p ( 1 - p ) ^ { x - 1 }$

question 125

Multiple Choice

If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on The xth trial is given by $P ( x ) = p ( 1 - p ) ^ { x - 1 }$ , where p is the probability of success on any one trial.Assume that the probability of choosing a yellow piece of candy in a bag of hard candy is 0.240.
Find the probability that the first yellow candy is found in the fourth inspected. Round your answer to the nearest thousandth.

• A) 0.08
• B) 0.061
• C) 0.439
• D) 0.105

---

Definitions:

Antidepressant Drugs

Medications used to treat depressive disorders by altering chemicals in the brain associated with mood regulation.

Chemical Models

Representations or simulations of chemical processes, used for scientific research or educational purposes to understand and predict the interactions at the molecular level.

Gender Difference

Variations in characteristics, behaviors, or traits between males and females, often influenced by a combination of biological, social, and cultural factors.

Depression

Depression is a psychiatric disorder characterized by persistent feelings of sadness, loss of interest or pleasure, and a range of physical and cognitive impairments.