The probability is 0.4325. This is close to 0.47, so no, the results do not really contradict the study.
To approximate a normal distribution, we use the fact that
μ = np and
σ² = np(1-p).
This means that σ = √(np(1-p)).
Our formula for a z-score is
z = (X-μ)/σ; using what we just stated, this makes it
z = (X-np)/(√(np(1-p))
For this problem, n=208, p=0.47, and X=99:
z = (99-(208)(0.47))/√((208)(0.47)(0.53))
z = (99-97.76)/√(51.8128) = 1.24/(√51.8128) = 0.17
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, this z-score is 0.5675. We want the probability of <u>at least</u> 99 people; this is greater than or equal to, not less than. To find what we need, we subtract from 1:
1 - 0.5675 = 0.4325.
-5/10 which is the same as -1/2
Answer:
gradient is equal to 0.7
Step-by-step explanation:
line passes on (-2,0) and (0,1.4)
gradient =(y2-y1)/(x2-x1)
=(1.4-0)/-(0--2)
=1.4/2
=1.4/2×10/10
=14/20
=7/10
=0.7
Answer:
would that be 31 if if im wrong im just nine Step-by-step explanation:
