Rate = (150 miles)/(3 hrs) = 50 mph

so . . .

(50 mph)*(time) = 400 miles

*divide both sides by 50 mph

time = (400 miles)/(50 mph) = 8 hrs

time = 8 hrs

8 0

3 years ago

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A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough cus

rusak2 [61]

Answer:

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

Step-by-step explanation:

The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

50 major customers, 15 would accept the plan.

This means that $N = 50, k = 15$

The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.

This means that $n = 10$

a. What is the probability that exactly two of the selected major customers accept the plan

This is P(X = 2).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406$

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

4 0

2 years ago