How many possible outcomes, including both main effects and interaction effects, are possible for a factorial design with three
1 answer:
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Answer:
A. 0.16
B. 0.58
C. No
D. Dependent
Step-by-step explanation:
A.
The sampling space has 36 outcomes.
The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)
So P(A)= 6/36 = 0.16
B.
The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58
C.
Are A and B mutually exclusive events?
No since their intersection is not empty, for example (3,1) belongs to both A and B
D.
In order for A and B to be independent, it must happen that
P(A∩B)=P(A)P(B)
A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36
whereas
P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72
So A and B are not independent.
Answer:
Niles and Bob were traveling for 6 hours.
Step-by-step explanation:
The speed or rate at which an object is moving can be computed using the formula:
Here:
<em>s</em> = speed
<em>d</em> = distance traveled
<em>t</em> = time taken
It is provided that Niles and Bob sailed at the same time for the same length of time.
Speed of Niles sailboat is, <em>s</em>₁ = 6 mph.
Distance traveled by Niles' sailboat is, <em>d</em>₁ = 36 miles.
Speed of Bob's sailboat is, <em>s</em>₂ = 16 mph.
Distance traveled by Bob's sailboat is, <em>d</em>₂ = 96 miles.
It took both Niles and Bob the same time to travel the respective distance.
Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:
It took Niles 6 hours to travel 36 miles at 6 mph speed.
Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:
It took Bob 6 hours to travel 96 miles at 16 mph speed.
Thus, Niles and Bob were traveling for 6 hours.