Answer: option A is correct, we accept the null hypothesis.
Step-by-step explanation:
At a 5% level of significance, p = 0.05, therefore when p < 0.05, accept the null hypothesis (H°) and reject the alternative hypothesis (H¡). When p > 0.05, we reject the null hypothesis (H°) and accept the alternative hypothesis (H¡)
Given the p-value to be 0.008, this is less than the 5% threshold, that is, 0.05, hence we accept the null hypothesis.
27.034%
Let's define the function P(x) for the probability of getting a parking space exactly x times over a 9 month period. it would be:
P(x) = (0.3^x)(0.7^(9-x))*9!/(x!(9-x)!)
Let me explain the above. The raising of (0.3^x)(0.7^(9-x)) is the probability of getting exactly x successes and 9-x failures. Then we shuffle them in the 9! possible arrangements. But since we can't tell the differences between successes, we divide by the x! different ways of arranging the successes. And since we can't distinguish between the different failures, we divide by the (9-x)! different ways of arranging those failures as well. So P(4) = 0.171532242 meaning that there's a 17.153% chance of getting a parking space exactly 4 times.
Now all we need to do is calculate the sum of P(x) for x ranging from 4 to 9.
So
P(4) = 0.171532242
P(5) = 0.073513818
P(6) = 0.021003948
P(7) = 0.003857868
P(8) = 0.000413343
P(9) = 0.000019683
And
0.171532242 + 0.073513818 + 0.021003948 + 0.003857868 + 0.000413343
+ 0.000019683 = 0.270340902
So the probability of getting a parking space at least four out of the nine months is 27.034%
Answer:
the red polygon in quadrant II
Step-by-step explanation:
It makes the most sense polygon 4 is not the answer because if we reflected it would be upside down, try to image a mirror in front of polygon 1 it would reflect to polygon 2 make the answer quadrant II.
Please Brainliest :D
