Adam teaches a class on probability calculus. Students have noticed that Adam is generally 3 minutes late, and the irregularity with which he appears in class deviates from the average by 7 minutes. Assuming that the instructor's appearance time in a probability calculus class has a normal distribution, determine the probability that the class will not be held (the instructor will be more than 15 min late).

Adam teaches a class on probability calculus. Students have noticed that Adam is generally 3 minutes late, and the irregularity with which he appears in class deviates from the average by 7 minutes. Assuming that the instructor's appearance time in a probability calculus class has a normal distribution, determine the probability that the class will not be held (the instructor will be more than 15 min late).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes.
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is the probability that both events A and B occur?
When snow and rainfall occur together, it is known as sleet. On any given day the probability that it rains is 0.6, the probability that it snows is 0.5 and the probability that it rains and snows is 0.20. Calculate the probabilty that it rains or it snows.
In a jury trial, suppose the probability the defendant is convicted given guilt, is 0.95, and the probability the defendant is acquitted given innocence is 0.95. Suppose 90% of defendants are truly guilty. Given that the defendant is convicted, find the probability that he was actually guilty.
Exhibit 5-10The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. Refer to Exhibit 5-10. The expected number of days Pete will catch fish is?
Suppose the probability that a basketball player hits a basketon a free throw is 0.91, and that the throws are independent. Consider that the player continues through rolls until he makes a mistake. What is the probability that on his 5th or 3rd free throw does he make the first mistake?
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
Birds arrive at a feeding table independently, at an average rate of six per hour. Find the probability that two birds will arrive in the next ten minutes.
A certain disease has an incidence rate of 0.2%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.