2. A geological study indicates that an exploratory oil well drilled in a particular region should strike oil with probability 0.20. Find the probability that the third oil strike comes on the fifth well drilled.

3.07% probability that the third oil strike comes on the fifth well drilled.

Step-by-step explanation:

For each oil drill, there are only two possible outcomes. Either there is a strike, or there is not. The probability that oil is striken in a trial is independent of other trials. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

Strike oil with probability 0.20.

This means that

Find the probability that the third oil strike comes on the fifth well drilled.

2 strikes on the first four drills(P(X = 2) when n = 4) and strike on the fifth(0.2 probability).

0.2*0.1536 = 0.0307

3.07% probability that the third oil strike comes on the fifth well drilled.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.