10............ . . . . . . . . . .
Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.
Given:
The probability distribution for a random variable x is given in the table.
x : -5 -3 -2 0 2 3
P(x) : 0.17 0.13 0.33 0.16 0.11 0.10
To find:
The probability of -2.
Solution:
From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.
Therefore, the probability of -2 is 0.33.
This is a ratio problem
6 / 800 = 9 / n (can say as 6 is to 800g as 9 is to n grams)
6n = 800(9) --- by multiplying means and extremes
n = 7200 / 6 divide by 6 to isolate n
n = 1200g
plug in to check 6 / 800 = 0.0075 9 / 1200 = 0.0075
Given two straight lines, the Pythagorean Theorem allows you to calculate the length of the diagonal connecting them. This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope. You can use this information to cut properly sized beams to support the roof, or calculate the area of the roof that you would need to shingle.