Answer:
P(X= k) = (1-p)^k-1.p
Step-by-step explanation:
Given that the number of trials is
N < = k, the geometric distribution gives the probability that there are k-1 trials that result in failure(F) before the success(S) at the kth trials.
Given p = success,
1 - p = failure
Hence the distribution is described as: Pr ( FFFF.....FS)
Pr(X= k) = (1-p)(1-p)(1-p)....(1-p)p
Pr((X=k) = (1 - p)^ (k-1) .p
Since N<=k
Pr (X =k) = p(1-p)^k-1, k= 1,2,...k
0, elsewhere
If the probability is defined for Y, the number of failure before a success
Pr (Y= k) = p(1-p)^y......k= 0,1,2,3
0, elsewhere.
Given p= 0.2, k= 3,
P(X= 3) =( 0.2) × (1 - 0.2)²
P(X=3) = 0.128
Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.
<h3>¿Qué es la distribución binomial?</h3>
Los parámetros son:
- n es el número de ensayos.
- p es la probabilidad de éxito en un ensayo
En este problema, hay que:
- 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.
- Llegan 10 empleados, o sea, n = 10.
La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:
En que:
Por eso:
Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.
Puede-se aprender más a cerca de la distribución binomial en brainly.com/question/25132113
Answer:
Option d.$18 to $30
Step-by-step explanation:
we know that
The quartet earn between $25 and $40 per hour.
so
If they play for 3 hours
then
($25*3)=$75
($40*3)=$120
the quartet will earn between $75 and $120
Divide the money equally between the four members
$75/4=$18.75
$120/4=$30
therefore
Each member can make between $18.75 and $30
Answer:
x = 17, y = 9
or as an ordered pair, (17, 9).
The equations are consistent.
Step-by-step explanation:
2x - 3y = 7
x - 2y = -1 Multiply this equation by -2:
-2x + 4y = 2 Add this to the first equation:
y = 9.
Plug y = 9 into the second equation:
x - 2*9 = -1
x = -1 + 18 = 17.
Answer:
Without tax the shoes would cost £55.9.
Step-by-step explanation:
To get this you take the £86 and multiply it by 0.65 because with the 35% sale you are paying for 65% of the item. You get this number by subtracting 35 from 100 and convert it into a decimal.
