The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. if five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?

To solve for the probability proportion, we make use of the z statistic. The procedure to do is to calculate for the z value and using the standard probability tables, we can look up for the p value. The formula for z score is:

z =(x – μ) / (σ / sqrt(n))

where,

x = sample score = 11

μ = sample mean= 10

σ = standard deviation = 2

n = sample size

Calculating for the z and p value when n = 5:

z =(11 – 10) / (2 / sqrt(5))

z = 1.12

Using the tables, p(5) = 0.8686

Calculating for the z and p value when n = 6:

z =(11 – 10) / (2 / sqrt(6))

z = 1.22

Using the tables, p(6) = 0.8888

If both days should be occuring, therefore the total probability that each day is at most 11 min is:

p total = p(5) * p(6)

p total = 0.8686 * 0.8888

p total = 0.772

answer

false

explanation

these practices describe the manner the land use outcome is attained. land management methods implemented by corporations are a mandatory because they are a driver for better land use results economically, socially and environmentally. corporations are required to understand the connection between land use , and land management practices to support sustainable land use policies

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.