A researcher weighed pumpkins grown across a certain region. The data are rounded to the nearest pound and displayed in this his
togram.
What does the second bin represent?
Select from the drop-down menu to correctly complete the statement.
Sixteen pumpkins weigh
A. more than 2.4 pounds but less than 4.8 pounds
B. more than 2.4 pounds but no more than 4.8 pounds
C. at least 2.4 pounds but no more than 4.8 pounds
D. at least 2.4 pounds but less than 4.8 pounds
What does the second bin represent?
Select from the drop-down menu to correctly complete the statement.
Sixteen pumpkins weigh
A. more than 2.4 pounds but less than 4.8 pounds
B. more than 2.4 pounds but no more than 4.8 pounds
C. at least 2.4 pounds but no more than 4.8 pounds
D. at least 2.4 pounds but less than 4.8 pounds
2 answers:
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Answer:
Step-by-step explanation:
Hello!
Given the probabilities:
P(A₁)= 0.35
P(A₂)= 0.50
P(A₁∩A₂)= 0
P(BIA₁)= 0.20
P(BIA₂)= 0.05
a)
Two events are mutually exclusive when the occurrence of one of them prevents the occurrence of the other in one repetition of the trial, this means that both events cannot occur at the same time and therefore they'll intersection is void (and its probability zero)
Considering that P(A₁∩A₂)= 0, we can assume that both events are mutually exclusive.
b)
Considering that you can clear the intersection from the formula
and apply it for the given events:
c)
The probability of "B" is marginal, to calculate it you have to add all intersections where it occurs:
P(B)= (A₁∩B) + P(A₂∩B)= 0.07 + 0.025= 0.095
d)
The Bayes' theorem states that:
Then:
I hope it helps!