Sixty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five.

Step-by-step explanation:

a. This a binomial probability distribution problem expressed as:

#Given the probability of success, p=0.60 and the number of trials, n=8, the probability of exactly 5 purchases is calculated as:

Hence, the probability of exactly 5 purchases is 0.2787

b. Given n=8 , p=0.60, the probability of more than 5 purchases is calculated as:

Hence, the probability of more than 5 purchases is 0.3154

c. The probability of at most 5 purchases is equivalent to 1-P(x>5) and is calculated as:

#From b above, P(X>5)=0.3154;

Hence, the probability of at most 5 purchases is 0.6846

because they could drop even lower..

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.