The map shows the length (in miles) of shoreline along the Gulf of Mexica for each state that borders the body of water. What is
the probability that a ship coming ashore at a random point in the Gulf of Mexico lands in the given state? Round your answers to the nearest whole percent.
1 answer:
Answer:
TX: 0.23
LA: 0.24
MS: 0.03
AL: 0.03
FL: 0.47
Step-by-step explanation:
In the figure attached, the map is shown.
Total length of the shoreline: 367 + 397 + 44 + 53 + 770 = 1631 miles
probability of the ship landing in Texas: 367/1631 = 0.23
probability of the ship landing in Louisiana: 397/1631 = 0.24
probability of the ship landing in Mississippi: 44/1631 = 0.03
probability of the ship landing in Alabama: 53/1631 = 0.03
probability of the ship landing in Florida: 770/1631 = 0.47
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Answer:
Step-by-step explanation:
Given that:
The number of observations is:
6, 10, 12
If we are to use a simple random sampling without replacement, then we will have:
(6,10) (6,12) (10,12)
Here;
the sample size n = 2
The population size N = 3
For (6,10) ; The sample mean =
=
= 8
For (6,12) ; The sample mean =
=
= 9
For (10, 12) ; The sample mean =
=
= 11
The probability distribution of sample mean(x) is:
X 8 9 11
P(X=x)
Thus, the probability that the sample mean is larger than 8 is:
P(X> 8) = P(X = 9) + P(X + 11)
P(X> 8) =
P(X > 8) =
P(X> 8) =