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antoniya [11.8K]
3 years ago
10

A community college has 150 word processors. The probability that any one of them will require repair on a given day is 0.025. T

o find the probability that exactly 25 of the word processors will require repair, one will use what type of probability distribution?
Mathematics
1 answer:
Volgvan3 years ago
6 0

Answer:

Binomial Distribution

Step-by-step explanation:

In this case there are only two possible outcomes that is either the processor requires repair or does not require.

In such cases binomial distribution is beneficial to use.

Binomial Distribution is simply the probability of failure or success in an experiment that is repeated multiple times.

for binomial to be used following three conditions are to be used:

1. Fixed number of trails

2. Each trial or observation is independent

3. probability of success is exactly same

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suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks.
emmainna [20.7K]

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\alpha ,\beta)

E(X)= \alpha \beta                 \beta= 12^{2}/24=6 weeks

V(x)= \alpha \beta ^{2}                \alpha=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \alpha, \beta, False)

P(12\leq X\leq 24)

P(12/6\leq G\leq 24/6)

P(2\leq G\leq 4)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/11234923

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4 0
1 year ago
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Diagram I shows a triangle with a foot length of 4ycm and a height (y +5). Figure 2 shows a square with a length of y cm. Given
elixir [45]

Answer:

Area of ​​equilateral triangle:36cm

Square area:12cm

Step-by-step explanation:

We need to find the corresponding relationship, it is not difficult to find that this is a simple quadratic function problem.

I used pictures to express the process. You can click to view. I'm not English either. I'm Chinese, but I believe that academics know no boundaries.

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Find the slope of the line that passes through G(−3, 2) and H(7, 2).
Svetllana [295]

Answer:

y=0x+2 meaning the slope is equal to 0

Step-by-step explanation:

If you think about this question you'll see that our two points have the same y coordinate

This means that the slope is equal to 0

so we have

y=0x+b  

If we plug in -3 for x and set the equation equal to 2 we can find b

0+b=2

b=2

so we have

0x+b=y

Hope this helps!

7 0
2 years ago
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