SOLUTION: The probability that a certain event A occurs in a given run of an experiment is 0.3. The outcome of each run of this experiment is independent of the outcomes of other runs. If th

Question 1114403: The probability that a certain event A occurs in a given run of an experiment is 0.3. The outcome of each run of this experiment is independent of the outcomes of other runs. If the experiment is run repeatedly until A occurs, what is the probability exactly four runs will be required? please answer help. God bless you
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The first three runs with probability 0.7 occur. Their probability is 0.343 from independence.
The fourth run has probability 0.3 of occurring, so the overall probability is 0.343 from the first three runs *0.3 for the fourth run. This is 0.1029.
RELATED QUESTIONS
Suppose that an experiment is repeated four times. A certain event has probability 1/10... (answered by venugopalramana)

Suppose that an experiment is repeated four times. A certain event has probability 1/10... (answered by venugopalramana)

Suppose that an experiment is repeated four times. A certain event has probability 1/10... (answered by ewatrrr)

The probability that an event A occurs in one trial of an experiment is 0.4 Three... (answered by richard1234)

An ordinary (fair) die is a cube with the numbers through on the sides (represented by... (answered by stanbon)

A system is comprised of 5 components, each of which is either working or failed.... (answered by Fombitz)

1. Suppose a uniform random variable can be used to describe the outcome of an experiment (answered by stanbon)

1.) Suppose a uniform random variable can be used to describe the outcome of an... (answered by stanbon)