Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Multiple 6 with 3 and 1 with 2
2/18 = 19
Answer:
Step-by-step explanation:
The expected return is given as
Expected Return = SUM (Return i x Probability i). i=1,2,3.....
First investment
Probability of 0.7, it returns 60cents per dollars
Second investment
Probably of 0.3, it loses 20cents per dollar.
Expected return=(0.7×60)-(0.3×20)
Excepted return= 42-6
Excepted return=36cents
To dollars, 1cents is 0.01dollars
Then, 36cents = 0.36dollars
Expected return=$0.36
10
Just because the fish swam away doesn't mean they left the pond