Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent report notes that 20% of island residents of a country have reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from a city on this island find the probability of each of the following events. a. All five qualify for the favorable rate
b. At least four qualify for the favorable rates

a. 0.00032    B. 0.00672

Step-by-step explanation:

Given: Proportion of  island residents of a country have reduced their electricity usage (p) = 20%= 0.20

Here, residents have two choices either reduced electricity usage or not , hence it follows binomial distribution

Let X be a binomial variable that represents the number of successes .

Binomial distribution formula:

, n= sample size.

a.

b.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

answer is 12345678900987654321234567890987654321

step-by-step explanation: