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never [62]
3 years ago
14

In a recent​ year, an author wrote 171 checks. Use the Poisson distribution to find the probability​ that, on a randomly selecte

d​ day, he wrote at least one check. The probability is:_______.
Mathematics
1 answer:
sveticcg [70]3 years ago
4 0

Answer: 0.3741

Step-by-step explanation:

Poison probability ;

P(x) = [U(^x) e(^-U)] ÷ x!

Where U = mean

Note: e = exponential symbol

Number of checks that year = 171

Number of days in a year = 365

U = 171/365 = 0.468

Average checks per day = 0.4685

Probability that at least one check was written per day is can be calculated by;

P(not 0) = 1 - P(0)

Therefore,

P(x) = [U(^x) e(^-U)] ÷ x!

P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!

P(0) = [ 1 * 0.6259] ÷ 1

P(0) = 0.6259

Therefore,

P(not 0) = 1 - 0.6259 = 0.3741

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Step-by-step explanation:

24 - 4 = 20

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Answer:

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Step-by-step explanation:

Angle with the horizontal, θ =25°

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3 years ago
Consider the rational number, −0.4. Is the number greater than −2 and 1/3 but less than 4/5 ?
8_murik_8 [283]

Answer:

No

Step-by-step explanation:

Since the rational number -0.4 is a negative, it cannot have a greater value than 1/3 since it is a positive.

Though, the rest of the sentence is true.

-0.4 > -2

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3 0
3 years ago
Which statements are true about the place values in the number 99.999?
allsm [11]
Answers A. and B. Are correct
5 0
3 years ago
A function is shown in the table.
Anna71 [15]
<span>Given:
x       g(x)
−3      17
−1      −3
0        −4
2        13

The true statement for the given function is:
</span><span>The function is decreasing from x = −3 to x = −1.
</span><span>
As you can see, when x = -3 the corresponding value of the function is 17 but when x = -1 the corresponding value is -3. There is a decrease of 20. </span>→<span>  17 - 20 = -3



</span>
3 0
3 years ago
Read 2 more answers
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