<span><span>
1
down vote
accepted
</span>
<span>
The expected value is the sum of the probablity of each outcome multiplied by the "value" of each outcome.
Its sort of like a special average.
In your case each outcome has probability <span>16</span></span></span>
. and you get 5 dollars when you roll 3 or 6 when you roll something else.
So the expected value is
<span><span>06</span>+<span>06</span>+<span>56</span>+<span>06</span>+<span>06</span>+<span>56</span>=<span>106</span>=<span>53</span></span>
.
This means loosely that if you played this game a lot you should
expect to win on average about 1.66 dollars, while you payed 3 to play
it. Clearly this is a great idea if you want to lose money.
That represents: 4(2x + 1)
Answer:
Heights of 29.5 and below could be a problem.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.
This means that 
There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus


Heights of 29.5 and below could be a problem.
Answer: with 11 miles, it can travel 220 miles