QuestionA small ferry runs every half hour from one side of a large river to the other. The histogram of the probability distribution for the random variable money collected (in dollars) on a randomly selected ferry trip is shown here.
What is the shape of this histogram?
The shape of the probability histogram is fairly uniform with a single peak at collected.
The shape of the probability histogram is skewed to the left with a single peak at \\ collected.
The shape of the probability histogram is skewed to the right with a single peak at \\ collected.
Studdy Solution
STEP 1
1. The histogram represents the probability distribution of money collected on a ferry trip.
2. The histogram has bars increasing in height from left to right, with the highest bar at $25.
3. The probability values range from 0 to 0.45 on the vertical axis.
4. The money collected ranges from 0 to 25 on the horizontal axis.
STEP 2
1. Analyze the distribution of the histogram.
2. Determine the shape of the histogram.
STEP 3
Analyze the distribution of the histogram:
- The histogram shows bars that increase in height from left to right.
- The highest bar is at $25, indicating a peak at this value.
STEP 4
Determine the shape of the histogram:
- Since the bars increase in height from left to right, the distribution is not symmetric.
- The peak at $25 and the increasing trend suggest that the histogram is skewed to the left.
The shape of the probability histogram is:
The shape of the probability histogram is skewed to the left with a single peak at \$25 collected.
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