contestada

the task of framing a building has been estimated to take an average of 25 days with a standard deviation of 4 days. what duration should be used if there is to be a 90% confidence that the duration will not be exceeded? what is the probability that the duration will actually exceed 23 days?

Respuesta :

The required probability that the duration will actually exceed 23 days is 22.66%.

What is Probability distribution?

A probability distribution is a factual capability that depicts every one of the potential qualities and probabilities for an irregular variable inside a given reach.

According to question:

We have,

μ = 25, σ = 4,

For 90% confidence interval, Z = 1.645

Then,

Z =( x -μ )/σ =(x - 25)/4

1.645 = (x - 25)/4x

x = 4(1.645) + 25 = 31.58 days

when duration increase by 3 days

So, Z = 3/4 = 0.75

Probability = 22.66%

Thus, required probability is 22.66%.

To know more about probability distribution visit:

brainly.com/question/14210034

#SPJ4

Otras preguntas