The probability of the closing of the iith relay in the circuits shown is given by pipi. Let p1=0.2,p1=0.2, p2=0.9,p2=0.9, p3=0.3,p3=0.3, p4=0.6,p4=0.6, p5=0.7.p5=0.7. If all relays function independently. what is the probability that a current flows between A and B for the respective circuits? a)P= b)P=

While driving in the car with his family Jeffery likes to look out the window to find punch buggies. On average Jeffery see 3.85 punch buggies per hour. Assume seeing punch buggies follows a poisson process. A. Find the probability Jeffrey sees exactly 2 punch buggies in an hour. B. Find the probability Jeffrey sees more than 2 punch buggies in an hour.

Assume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values. What is the probability of getting  ALL THREE green lights on a trip to school?

The probability of winning a prize in a game of chance is 048. What is the least number of games that must be played to ensure that the probability of winning at least twice is more than 0.95?

A student in this class is writing two midterms in math this week. The probability that she will pass MAT 2371 is 0.7, and the probability that she will pass MAT 2125 is 0.7. If the result on the two exams are independent, what is the probability that she will fail at least one the two exams? 0.56 0.44 0.54 0.46 0.51

A small computer lab has 2 terminals. The number of students working in this lab is recordedat the end of every hour. A computer assistant notices the following pattern:- If there are 0 or 1 students in a lab, then the number of students in 1 hour has a50-50% chance to increase by 1 or remain unchanged. - If there are 2 students in a lab, then the number of students in 1 hour has a 50-50%chance to decrease by 1 or remain unchanged.  (a) Write the transition probability matrix for this Markov chain.(b) Suppose there is nobody in the lab at 7 am. What is the probability of nobody workingin the lab at 10 am?

Assume that when silts with smartphones are randomly selected 37% use them in meetings or class. IF 6 adult smartphone users are randomly selected, find the probability that exactly 4 of them use their smartphones in meetings or classes.