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.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.