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3 years ago

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On a 10-item test, three students in professor hsin's advanced chemistry seminar received scores of 2, 5, and 8, respectively. f

or this distribution of test scores, the standard deviation is equal to the square root of

1 answer:

swat323 years ago

3 0

The standard deviation is 5 because (2+5+8)/3=5. So the equal square root is square root of 25

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Write an equation in slope intercept form that has a slope of -8 and a y-intercept of 12

vitfil [10]

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3 years ago

|x - 12| = 4<br> please provide an explanation

geniusboy [140]

Answer: x = 16, x = 8

Step-by-step explanation:

|a| > 0, there are two solutions

|a| = 0, there is one solution

|a| < 0, there are no solutions

So, in this problem, we have two solutions.

In absolute value, the expression inside can be equal to itself OR its opposite.

Ex: |y| = y, |y| = -y

So, we can write two equations:

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2 years ago

Suppose the number of insect fragments in a chocolate bar follows a Poisson process with the expected number of fragments in a 2

leonid [27]

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where $\lambda = \frac{10.2}{200} = 0.051$

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

$\frac{1}{4} \times 200 = 50$

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

$P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004$

c)The expected number of grams to be eaten before encountering the first fragments :

$E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 gram$ s

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3 years ago