Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Ask your questions and receive precise answers from experienced professionals across different disciplines. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Actuary Tong has to study for two actuarial exams: Exam P and Exam FM. The amount of study time that Actuary Tong will spend on each exam in a day follows a continuous random variable that ranges from 0 to 1 hour. The amount of study time that Actuary Tong spends on both exams in a day has a joint density function that is equal to the sum of the study times that Actuary Tong spends on each exam in a day. Calculate the probability Actuary Tong spends at least half an hour in a day studying for exactly one of the exams

Sagot :

The Probability of spending at least half an hour on exactly one subject is mathematically given as

P(1)= 0.50

What is the Probability of spending at least half an hour on exactly one  subject

Question Parameters:

The amount of study time that Actuary Tong will spend on each exam in a day follows a continuous random variable that ranges from 0 to 1 hour.

Generally, the equation for the Probability of spending at least half an hour on a subject is mathematically given as

P(A)= (1 – 0.5)/(1 – 0)

P(A)= 0.5

Hence, the Probability of spending at least half an hour on exactly one subject is mathematically given as

P(1)=2​​​​​​C1 * 0.5 * 0.5

P(1)= 0.50

For more information on Probability

https://brainly.com/question/795909