Mathematics, 23.11.2019 23:31 winterblanco

Abinomial probability experiment is conducted with the given parameters. compute the probability of x successes in the n independent trials of the experiment.
n= 15, p=0.8, x = 12
p(12) =
(do not round until the final answer. then round to four decimal places as needed.)

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Answer from: bokewen

Applying the binomial distribution, we get that P(X = 12) = 0.2501.

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Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, given by:

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

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, defined by the formula below.

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

Considering that p is the probability of a success on a single trial.

For this problem, the parameters are n = 15, p = 0.8 , and we want to find P(X = 12). Then:

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

$P(X = 12) = C_{15,12}.(0.8)^{12}.(0.2)^{3} = 0.2501$

Thus P(X = 12) = 0.2501.

A similar problem is given at link

Answer from: anthonypacheco

The probability of getting 12 successes out of 15 trials is P(12) = 0.2501 .

Step-by-step explanation:

Given:

The probability distribution is binomial distribution.

Number of trials are, n=15

Number of successes are, x=12

Probability of success is, p=0.8

Therefore, probability of failure is, q=1-p=1-0.8=0.2

Now, probability of getting 12 successes out of 15 trials is given as:

$P(X=x)=_{x}^{n}\textrm{C}p^{x}q^{n-x}\\P(12)=_{12}^{15}\textrm{C}(0.8)^{12}(0.2)^{15-12}\\P(12)=455\times 0.8^{12}\times 0.2^{3}\\P(12)=0.2501$

Therefore, the probability of getting 12 successes out of 15 trials is 0.2501.

Answer from: Quest

For being nice i appreciate it but abc

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.