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.

the answer

b. they are parallel and will never intersect.

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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