The time spent walting in the line is approximately normally distributed. The me

Question

The time spent walting in the line is approximately normally distributed. The mean waiting time is 5 minutes and the standard deviation of the waiting time is 3 minutes. Find the probability that a person will wait for more than 11 minutes. Round your answer to four decimal places If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key Normal Table-to z

Explanation / Answer

Let X minutes be the waiting time in the line

Given: Normal distribution with Mean,u = 5 minutes

Standard deviation,s = 3 minutes

To find, P(X > 11)

For X = 11, Z score = (X - u)/s = (11 - 5)/3 = 2

Thus, P(X > 11) = P(Z > 2) = 0.0228 [From Z table]

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.