Let X be a normal random variable with a mean of 1.54 and a standard deviation of 2.40.
1 answer:
Answer:
a) z = 1.40
b) X is greater than or equal to 4.9
Step-by-step explanation:
Population mean (μ) = 1.54
Standard deviation (σ) = 2.40
The z-score for any given value X is:
a) For X= 4.9:
The corresponding z-score for x = 4.9 is z=1.40
b) Z-scores higher than 1.40 correspond to values of X higher than 4.9. Therefore, the area under the standard normal probability density function from z to infinity, P(z ≥ 1.40), is interpreted as the probability that X is greater than or equal to 4.9.
You might be interested in
Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
