Answer:

And we can solve this using the following z score formula:

And if we use this formula we got:

So we can find this probability equivalently like this:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
We want this probability:

And we can solve this using the following z score formula:

And if we use this formula we got:

So we can find this probability equivalently like this:

Answer: - 0.027
Step-by-step explanation:
Win = any even number between (0 - 36)
Therefore,
Lose = any odd number between 0 —36 including 0
Assume Bet amount = $1
Expected value is calculate by summing all possible outcomes by their respective probabilities.
Expected value = [(p(winning) × net win value) + (p(losing +net loss value]
P(winning) = p(even) = 18/37
P(losing) = p(odd) +p(0) = 19/37
Net win value = $2
Net loss value = $-1
Expected value = [(18/37) × ($1) + (19/37) × (-$1)]
Expected value = 0.48648648 - 0.51351351
Expected value = - 0.027
C
Hope I helped! :-)
~Sequoyah! :-)
Step-by-step explanation:
mean is always equal to additon of total no.s by total no.s
2 + 4 + 6 + 8 + 10 + 12
=42
total no.s = 6 no.s
42/6
=7
therefore 7 is the answer which is the mean deviation of the following no.s .