Solve i=Prt for t, if I=105, P=700, and r=0.05

An oil drilling company ventures into various locations, and its success or failure is independent from one location to another.

densk [106]

Answer:

a) 18.77% probability that the driller drills at 10 locations and has 1 success

b) 75.60% probability that the driller drills at 10 locations and has at least 2 success

Step-by-step explanation:

For each drill, there are only two possible outcomes. Either it is a success, or it is not. The probability of a drill being a success is independent of other drills. 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.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

10 locations

This means that $n = 10$

Suppose the probability of a success at any specific location is 0.25.

This means that $p = 0.25$

(a) What is the probability that the driller drills at 10 locations and has 1 success?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

18.77% probability that the driller drills at 10 locations and has 1 success

(b) What is the probability that the driller drills at 10 locations and has at least 2 success?

Either there are less than 2 success, or there are at least 2. The sum of the probabilities of these events is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0563 + 0.1877 = 0.2440$

$P(X < 2) = P(X = 0) + P(X = 1) = 1 - 0.244 = 0.756$

75.60% probability that the driller drills at 10 locations and has at least 2 success

8 0

3 years ago

Please help me and give me correct answer

snow_lady [41]

The house is in the coordinate plane is (4.5, -1.5).

Thats all I know, hope that helped for now.

~Sam

3 0

3 years ago

What it 12/14<9=<br> I really need help on this :

postnew [5]

Answer:

This isn't a real question... but i can explain what you gave. 12/14 is less than 1, so it is less than 9.

3 0

3 years ago

If the probability of a win is 0.02, and the probability of a draw is 0.8, what is the probability of a loss?

atroni [7]

A probability is a number between zero and one.

There are 3 options win, lose or draw.
This means that (win + loss + draw = 1)

From the information given you know:
Win = 0.02
Draw = 0.8

So: 0.02 + loss + 0.8 = 1
Therefor loss = 1 - 0.8 - 0.02
loss = 0.18
final answer ^

Hope this helps, let me know if you don't get any of it!

8 0

3 years ago

Answer this please URGENT

satela [25.4K]

Answer:

Step-by-step explanation:

AB is diameter.

Angle made by diameter on circumference is always 90°