Answer:
0.4166
Step-by-step explanation:
Given that we have a factory that produces light bulbs and that each bulb independently has a 5% probability of dying after 4 years.
i.e. prob = 0.05 for each bulb for dying since independent is given
Also there are only two outcomes either working or dying.
X no of bulbs still working is binomial with
constant probability p = 0.95, q = 0.05 and n = 1250
np =
nq = 62.5
Both are >5. Hence X can be approximated to normal with
mean = 1187.5 and variance =npq = 59.375
std dev = 7.7055
Using central limit theorem we find that X is N(1187.8, 7.7055)
P(X > 1200)
=
Total Score = 10*85=850
Final total after throwing out top and bottom scores = 850-60-92
=698
Therefore Final Average
= 698/8
=87.25
Answer:
10 degrees.
Step-by-step explanation:
The arc LM = 360 - 180 - 160
= 360 - 340
= 20 degrees.
So m < N = 1/2 * 20 = 10 degrees.
Answer:
observational study
Explanation:
The above is an example of observational study. An observational study merely observes and takes note, it does not try to interfere or intervene with the sample by deciding who would be exposed or not exposed to a certain explanatory variable(such as a disease). On the other hand, the experimental study divide up samples into groups, having the experimental group and the control group. This way the researcher interfers with the sample: The experimental group being the group exposed to the independent/explanatory variable while the other/control group is not.
Answer:
d = 3
Step-by-step explanation:
A common difference d means there is the same difference between consecutive terms, that is
5 - 2 = 3
8 - 5 = 3
11 - 8 = 3
Hence there is a common difference of 3