Alaskan Salmon are fished extensively to serve in restaurants. However, there are limits to how many and the size of fish which
1 answer:
Answer:
The salmon size is less than equal to 10.28 inches represent bottom 25% of all salmon.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12.5 inches
Standard Deviation, σ = 3.3
We are given that the distribution of salmon size is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.25
Calculation the value from standard normal z table, we have,
Thus, the salmon size is equal to or less than 10.28 inches, they are considered small and young and represent bottom 25% of all salmon.
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Answer:
Company A is a better deal than Company B for the number of miles greater than 295 miles
Step-by-step explanation:
Let
y ----> the charge per week in dollars
x ----> the number of miles
we have
<em>Company A</em>
-----> equation A
<em>Company B</em>
-----> equation B
Solve the system by substitution
Equate equation A and equation B and solve for x
For x=295 miles the charge in Company A and Company B is the same
therefore
Company A is a better deal than Company B for the number of miles greater than 295 miles
Answer:
(a) 0.4096
(b) 0.64
(c) 0.7942
Step-by-step explanation:
The probability that the player wins is,
Then the probability that the player losses is,
The player is playing the video game with 4 different opponents.
It is provided that when the player is defeated by an opponent the game ends.
All the possible ways the player can win is: {L, WL, WWL, WWWL and WWWW)
(a)
The results from all the 4 opponents are independent, i.e. the result of a game played with one opponent is unaffected by the result of the game played with another opponent.
The probability that the player defeats all four opponents in a game is,
P (Player defeats all 4 opponents) =
Thus, the probability that the player defeats all four opponents in a game is 0.4096.
(b)
The probability that the player defeats at least two opponents in a game is,
P (Player defeats at least 2) = 1 - P (Player losses the 1st game) - P (Player losses the 2nd game) =
Thus, the probability that the player defeats at least two opponents in a game is 0.64.
(c)
Let <em>X</em> = number of times the player defeats all 4 opponents.
The probability that the player defeats all four opponents in a game is,
P(WWWW) = 0.4096.
Then the random variable
The probability distribution of binomial is:
The probability that the player defeats all the 4 opponents at least once is,
P (<em>X</em> ≥ 1) = 1 - P (<em>X</em> < 1)
= 1 - P (<em>X</em> = 0)
Thus, the probability that the player defeats all the 4 opponents at least once is 0.7942.