Answer:
When sampling from a population, the sample mean will: be closer to the population mean as the sample size increases.
Step-by-step explanation:
The sample mean is not always equal to the population mean but if we increase the number of samples then the mean of the sample would become more and more closer to the population mean.
Usually the population size is very huge that is why we select a random sample from the population, care must be taken to ensure randomized sampling otherwise results would not be accurate. After that we have to make sure that the number of samples are enough for the given population size. The number of samples depends upon the shape of the population. If the population is normal than according to central limit theorem, a less number of samples would be enough to ensure normal distribution of sampling mean, otherwise a greater sample size will be required.
Answer:
the circumference is 37.7 cm
Answer:
P(more than 2 don't show up)=0.2031
Step-by-step explanation:
Multiplication rule for independent events:
If two events A and B are independent then the multiplication rule state that:
P(A and B)= P(A) x P(B)
Find the probability that more than two do not show up:
The probability that the reservations at the restaurant do not show up is 0.20 (=20%) and there were 8 reservations.
P(more than 2 don't show up)= 1- P(less than or equal to 2 don't show up)
= 1-( P(none show up) +P(one don't show up)+P(two don't show up)
=1- ((0.8⁸) +₈ C₁ (0.2¹)x(0.8⁷) +₈ C₂ (0.2²)x(0.8⁶)
=1- (0.1678 +0.3355+0.2936)= 1-0.7969
P(more than 2 don't show up)=0.2031
=
=
=
=
= 3.5. So
= 21.