The random variable is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate Office. Its probability distribution is as follows. Find the standard deviation for the probability distribution. Houses sold(x): 0 1 2 3 4 5 6 7
Probability (P(X)): 0.24 0.01 0.12 0.16 0.01 0.14 0.11 0.21

The standard deviation for the probability distribution is of 2.63 houses sold.

Step-by-step explanation:

To find the standard deviation for the distribution, first we have to find the mean.

Mean:

Each outcome multiplied by it's probability. So

Standard deviation:

Square root of the sum of the differences squared between each value and the mean, multiplied by its probabilities. So

The standard deviation for the probability distribution is of 2.63 houses sold.

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.