Question

If the probability of success during a single event of a geometric experiment is 0.34, what is the probability of success on the 6th event? Round your answer to the nearest tenth of a percent. A. 4.3% B. 6.5% C. 2.8% D. 9.8%

Answer 1

Answer: 4.3%

Step-by-step explanation:

A P E X

Answer 2

Since, the probability of success during a single event of a geometric experiment is 0.34.

We have to find the probability of success on the 6th event.

Since it is a geometric experiment. So, when a discrete random variable 'X' is said to have a geometric distribution then it has a probability density function (p.d.f.) of the form:

P= $q^{x-1}p$, where q = 1 - p

So, now

P = $q^{x-1}p$

where 'p' is the probability of success and 'q' is the probability of failure and x is the number of events.

Since the probability of success (p)is 0.34

Therefore, probability of failure(q)= 1 - p

= 1 - 0.34

= 0.66

and x = 6

So, P = $q^{x-1}p$

= $(0.66)^{6-1} \times 0.34$

= $(0.66)^{5} \times 0.34$

= 0.0425

So, the nearest tenth of a percent of probability of success on the 6th event =

4.257 %

Rounding to the nearest tenth, we get

= 4.3%

So, Option A is the correct answer.