The homework consists of 40 independent problems. On

Answered question

2022-03-11

The homework consists of 40 independent problems. On the average, it takes 5 minutes to solve a problem, with a standard deviation of 2 minutes.a. Find the probability that the homework will be completed in less than 3 mins.b. Find the probability that the homework will be completed between 1 - 2 mins.

Answer & Explanation

nick1337

nick1337

Expert2022-03-21Added 777 answers

X~N ( µ ,  σ )

 X~N (n*μ = 3.3333 , n*σ = 0.2108)
P ( X < 3 )
Standardizing the value
Z = ( X - μ ) / σ
Z = ( 3 - 3.3333 ) / 0.2108
Z = -1.5811
P ( ( X - μ ) / σ ) < ( 3 - 3.3333 ) / 0.2108 )
P ( X < 3 ) = P ( Z < -1.5811 )
P ( X < 3 ) = 0.0569

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?