Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table.
x 1 2 3 4 5 6 7 8
p(x) 0.05 0.10 0.12 0.30 0.31 0.10 0.01 0.01
(a)
Find the mean value of x (the mean number of systems sold).
4.11

Correct: Your answer is correct.
(b)
Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.)
variance
standard deviation
How would you interpret these values? (Round your standard deviation to four decimal places.)
The mean squared deviation from the mean number of systems sold in one month is
. A typical deviation from the mean number of systems sold in one month is
.
(c)
What is the probability that the number of systems sold is within 1 standard deviation of its mean value?
(d)
What is the probability that the number of systems sold is more than 2 standard deviations from the mean?

45

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation: