Answer:
d. If your sample size is very large, the distribution of the sample averages will look more like distribution.
Step-by-step explanation:
The central limit Theorem states that for population distribution if you repeatedly take samples from the distribution, then the normal thing for it to happen would be that the distribution means of the samples will be normally distributed, this is what it states, the option that comes closer to that statement would be d. If your sample size is very large, the distribution of the sample averages will look more like distribution, because they large sample will create for a normally distributed means distribution.
3 sin x = 2 ( 1 - sin² x )
3 sin x = 2 - 2 sin² x
2 sin² x + 3 sin x - 2 = 0
Substitution: t = sin x
2 t² + 3 t - 2 = 0
t 1/2 =
t 1 = 1/2
t 2 = - 2 ( this solution is not acceptable )
sin x = 1/2
Answer:
x 1 = π / 6 + 2 kπ, x 2 = 5 π / 6 + 2 k π, k ∈ Z
Answer: 0.0052
Step-by-step explanation:
Total number of times experiment was performed (n)= 12
Probability of the event (that one key out of a total of 12 opens the door) = 1/12 = 0.083
Hence, p = 0.83
q = 1 - p = 11/12 = 0.917
x = 3
Since the experiment was performed n number of times, a binomial probability distribution can defined the experiment.
P(x=r) = nCr ×p^r × q^n-r
P(x=3) = 12C3 × (0.083)⁴ × (0.917)^8
P(x=3) = 220 × (0.083)⁴ × (0.917)^8
P(x=3) = 0.0052
146 or 27 because 27 with 73 = 100% or 219-73=146
Answer:
4.5 × 10^5 or 450000 :)))))
