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3 years ago

Plz plz help me me plz and show your work

Mathematics

1 answer:

Mrrafil [7]3 years ago

5 0

Answer:

the answer for number 5 is 9.8

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A type of long-range radio transmits data across the Atlantic Ocean. The number of errors in the transmission during any given a

Marianna [84]

Answer:

32.33% probability of having at least 3 erros in an hour.

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 time interval.

The mean number of errors is 2 per hour.

This means that $\mu = 2$

(a) What is the probability of having at least 3 errors in an hour?

Either you have 2 or less errors in an hour, or we have at least 3 errors. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 2) + P(X \geq 3) = 1$

We want $P(X \geq 3)$

$P(X \geq 3) = 1 - P(X \leq 2)$

In which

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = \frac{e^{-2}*(2)^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*(2)^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*(2)^{2}}{(2)!} = 0.2707$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1353 + 0.2707 + 0.2707 = 0.6767$

$P(X \geq 3) = 1 - P(X \leq 2) = 1 - 0.6767 = 0.3233$

32.33% probability of having at least 3 erros in an hour.

6 0

3 years ago

Luke made 14 out of 16 free throws in a basketball game. What percent free throws did he make?

Elis [28]

He made 93% of the shots

7 0

3 years ago

Read 2 more answers

Which is true of a line?

slamgirl [31]

Answer:

A line is one-dimensional

Step-by-step explanation:

In its simplest form: a line describes one dimension, a plane describes two dimensions, and a cube describes three dimensions.

5 0

3 years ago

Read 2 more answers

A and b are positive integers and a−b=2. Evaluate the following:

Nata [24]

Answer:

1/9

Step-by-step explanation:

You can put in any 2 numbers that would make a-b=2 true, so if you use a=4 and b=2, then 3^2/3^4=1/9. This is still true with any 2 numbers that make a-b=2 true. Hope this helps!

3 0

4 years ago

Help please

Levart [38]

Answer:

-0.8 (A) -2.25 (B) -2 (C) (Look at explanation to see answers for first bubbles.)

Step-by-step explanation:

1.4 - 2.2 = -0.8

-0.75 - 1.5 = -2.25

-0.2 - 1.8 = -2

8 0

3 years ago