What is the slope of the line that contains these points?

10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used 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.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

So

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

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

Find the 107 term of the sequence -9, -5, -1, 3, 7, ....

Alex17521 [72]

the sequence is 4n-13, so substitute 107 into n and it will become 4(107)-13 =415

5 0

3 years ago

Anyone know what the answer is for this

Anika [276]

Answer:

x^9

Step-by-step explanation:

If we have x^2 * x^3 we have (x * x) * (x * x * x) = x * x * x * x * x = x^5 which demonstrates that x^a * x^b = x^(a+b), 4 + 5 = 9

6 0

3 years ago

Read 2 more answers

What is the inverse of the function shown( in the form of a graph)

NemiM [27]

Answer:

$y = - 1x + b$

Step-by-step explanation:

The inverse of a slope is the exact opposite slope of the original. I'll show a function below where you can easily solve future problems if you need to.

$- \frac{1}{m} x$

m is the slope, so for the equation above, you simply insert the original slope, being 1, in the equation.

$- \frac{1}{1} x \\ - 1x$

So the inverse slope would be -1.

6 0

3 years ago

I need to know all the answers

Scilla [17]

Answer: that’s all it says.

Step-by-step explanation:

8 0

3 years ago