A bag contains 5 black marbles, 9 white marbles, and 2 red marbles. One marble is to be chosen at random.

2 answers:

6 0

Andrej [43]3 years ago

5 0

2/16
BC there are 2 red marbles out of 16 marbles in total

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A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 14 pa

UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so $\mu = \frac{14}{60} = 0.2333$

Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.2333}*(0.2333)^{0}}{(0)!} = 0.7919$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7919 = 0.2081$

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

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3 years ago

Kris and Julio played a card game.Together they scored 36 points in one game.Kris scored 2 times as many points as julio.How man

sergejj [24]

Try this option:
1. according to the condition Kris scored '2x' points, Julio did 'x' points (Kris scored 2 times as many points as Julio).
2. according to the condition Kris'_points+Julio's_points=36_points. It means, that x+2x=36.
3. If to solve this equation (2x+x=36), then Julio scored x=12 points, Kris scored 2x=12*2=24 points.

answer: 12 (Julio); 24 (Kris).

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Cloud [144]

Answer:

The answer is (- 567.45)