Answer: y should be in the interval (0.4, 4)
Explanation:
The binomial 5y - 7 is in the interval (-5, 13) if and only if
-5 < 5y - 7 < 13
Solving the inequalities in this form is the same as solving equation. So, we add all sides of the inequalities by 7 so that
2 < 5y < 20
Then, we divide both sides by 5 to get the following inequalities
0.4 < y < 4
Hence y should be in the open interval (0.4, 4).
Adding up all 6 probabilities gives a total of 1, which means that this is a valid distribution function. Observing that P(0) = P(5), P(1) = P(4), and P(2) = P(3), this is a symmetric distribution.
Its mean will be in the middle, which is at x = 2.5.
The standard deviation is calculated by multiplying each P(x) by the square of deviation (x - average)^2: (0.032)(0 - 2.5)^2 + (0.152)(1 - 2.5)^2 + (0.316)(2 - 2.5)^2 + (0.316)(3 - 2.5)^2 + (0.152)(4 - 2.5)^2 + (0.032)(5 - 2.5)^2 = 1.242, then taking the square root: sqrt(1.242) = 1.1145.
Answer: number 3
Step-by-step explanation:
Make a diagonal line like this / connected to it make the same / but mirrored or backwards underneath make a connecting like this _
