Answer:
If it is less than 3, Player 1 earns 3 points.
If not, Player 2 earns 2 points.
Step-by-step explanation:
<u>Player 1</u> :
p(N < 3) = p(N = 1 or N = 2) = 2/5
<u>Player 2</u> :
p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5
<u>We notice that</u> :
p(N < 3) × 3 = (2/5) × 3 = 6/5
On the other hand,
p(N ≥ 3) × 2 = (3/5) × 2 = 6/5
since ,the probability player 1 win multiplied by the associated number of points (3)
is equal to
the probability player 2 win multiplied by the associated number of points (2).
Then the game is fair.
Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,

And the standard deviation of the distribution of sample mean is given by,

The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.

Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:


*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Answer:
cylinder <3
Step-by-step explanation:
1 → B
multiply each term in the parenthesis by the 6 outside
6(b-7) = 6b - 42
2 → D
multiply each term in the parenthesis by the 3 outside
3(4x+6y+2) = 12x+18y+6
3 → A
the value outside the parenthesis is -1, hence each term inside is multiplied by -1
-1(6x+5y) = -6x -5y
The truth table for implication of the equations is F F ⇒ T
<h3>What is a truth table?</h3>
A truth table is a mathematical logic table that shows the truth values of different logic statements combined by a given logic rule.
Analysis:
P: 7 +1 is not equal to 0 making P to be false(F)
q: 2+2 is not equal to 5 making q to be false(F)
so for conditional or implication, F F⇒ T
Learn more about truth tables: brainly.com/question/14458200
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