The histogram shows the distribution of stops for red traffic lights a commuter

Question

The histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way to work. Use the histogram to find the mean, variance, standard deviation, and expected value of the probability distribution.

0123450.000.100.200.300.40xP(x)0.030.240.360.130.130.11

The mean is

nothing

.

(Round to two decimal places as needed.)

The variance is

nothing

.

(Round to four decimal places as needed.)

The standard deviation is

nothing

.

(Round to four decimal places as needed.)

The expected value is

nothing

.

(Round to two decimal places as needed.)

The histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way to work. Use the histogram to find the mean, variance, standard deviation, and expected value of the probability distribution.

Explanation / Answer

mean = 0.03 *0 + 0.24*1 + 0.36*2 + 0.13*3 + 0.13*4 + 0.11*5 = 2.42

variance=0.03 *0 + 0.24*1 + 0.36*4 + 0.13*9 + 0.13*16 + 0.11*25 -2.422=1.8236

standard deviation = sqrt(1.8236) = 1.3504

expected value = mean = 2.42

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