Answer:
The function y = ⌊x⌋ is called the "greatest integer value" function.
it works as follows: the input is any number x, the output is the greatest
integer smaller or equal to x.
For example:
⌊0.1⌋=0
⌊0.26⌋=0
⌊0.4678⌋=0
⌊0.8989⌋=0
⌊0.999⌋=0
⌊1⌋=0
⌊1.0001⌋=1
so, the value of ⌊x⌋, for the entire interval (0, 1] is 0.
Similarly,
the value of ⌊x⌋, for the entire interval (1, 2] is 1. and so on,
thus the graph of y = ⌊x⌋ is as shown in picture 1
the graph of y = ⌊x⌋ – 2 is the graph of y = ⌊x⌋ shifted 2 units down.
check picture 2.
Complete question :
The birthweight of newborn babies is Normally distributed with a mean of 3.96 kg and a standard deviation of 0.53 kg. Find the probability that an SRS of 36 babies will have an average birthweight of over 3.9 kg. Write your answer as a decimal. Round your answer to two places after the decimal
Answer:
0.75151
Step-by-step explanation:
Given that :
Mean weight (m) = 3.96kg
Standard deviation (σ) = 0.53kg
Sample size (n) = 36
Probability of average weight over 3.9
P(x > 3.9)
Using the z relation :
Zscore = (x - m) / (σ / √n)
Zscore = (3.9 - 3.96) / (0.53 / √36)
Zscore = - 0.06 / 0.0883333
Zscore = −0.679245
Using the Z probability calculator :
P(Z > - 0.679245) = 0.75151
= 0.75151