Mrs. Wheeler prepares a list of 43 US presidents, 31 of whom served in the military. Then 8 students each select a president at
2 answers:
Answer:
Step-by-step explanation:
Given that Mrs. Wheeler prepares a list. The list consists of 43 US presidents out of which 31 served in the military. Remaining 12 no military service.
Now 8 students each select a president at random.
Let X be the no of persons selected who did not serve in military.
X is a random variable with two outcomes non military or military.
Each student is independent of selecting hence X is binomial
X:B(n = 8, p = 12/43)
q = 1-p = 31/43
Probability that at least one of the students will select a president who did not serve in the military = 1-Probability that noone of the students will select a president who did not serve in the military
=P(X≥1)=
= 1-P(X=0)
=
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Answer:
And the critical value for the significance level used is:
Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent
Step-by-step explanation:
For this case we want to test the following hypothesis:
Null hypothesis: College graduation status and cola preference are independent
Alternative hypothesis: College graduation status and cola preference are dependent
For this case we got a calculated statistic of:
And the critical value for the significance level used is:
Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent
Answer:
Step-by-step explanation:
As in the triangle RST,
Because if in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.
Incenter is obtained by the Intersection of a triangle's three angle bisectors and it is equidistant from the three sides of the triangle.
So, RP and TP are the angle bisectors of ∠R and ∠T respectively.