Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375
Responder:
Por favor, consulte la explicación.
Explicación paso a paso:
Dado lo siguiente:
Número de bailarines = 156
Sea número de bailarines en una columna = c
Número de bailarines seguidos = c + 20
Multiplicar el número de bailarines en fila y columna dará el número total de bailarines.
Por lo tanto,
c * (c + 20) = 156
c² + 20c = 156
c² + 20c - 156 = 0
c² + 26c - 6c - 156 = 0
c (c + 26) - 6 (c + 26) = 0
(c + 26) = 0 o (c - 6) = 0
c = - 26 o c = 6
C no puede ser negativo
Por lo tanto,
Número de bailarines en columna = 6
Número de bailarines en fila = 20 + 6 = 26
The probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The probability of H is 2/3 and the probability of T is 1/3.
P(HT) = P(H in the first trial)P(T in the second trial)
From the tree diagram:
P(HT) = (2/3)(1/3) = 2/9
Thus, the probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
Learn more about the probability here:
brainly.com/question/11234923
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