Amarketing agency has developed three vacation packages to promote a timeshare plan at a new resort. they estimate that 10% of potential customers will choose the day plan, which does not include overnight accommodations; 20% will choose the overnightplan, which includes one night at the resort; and 70% will choose the weekend plan, which includes two nights. complete parts a and b below.

a) find the expected value of the number of nights potential customers will need.

e(x)= of nights

b) find the standard deviation of the number of nights potential customers will need.

σ = of nights

a) E(x)= 1.6 nights.

b) of nights.

Step-by-step explanation:

Given : A marketing agency has developed three vacation packages to promote a timeshare plan at a new resort. They estimate that 10% of potential customers will choose the Day Plan, which does not include overnight accommodations; 20% will choose the OvernightPlan, which includes one night at the resort; and 70% will choose the Weekend Plan, which includes two nights.

The table form is

x(nights)   0           1             2

P(x)          0.1         0.2         0.7

a) Find the expected value of the number of nights potential customers will need.

E(x)= 1.6 nights.

b) Find the standard deviation of the number of nights potential customers will need.

of nights.

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

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.