Suppose X follows an exponential distribution with mean 7.5. Determine the conditional probability P(x > 2.5...
5. Suppose that the time (in hours) that Isabel spends on an untimed final exam exponential distribution with mean 1.25 hours, and the time that Javier spends follows an exponential distribution with mean 1.75 hours. Assume independent of each other. (a) Determine the probability that Isabel finishes in less than 1 hour ollows an on the same exam that their times are (b) Determine the probability that Javier finishes in less than 1 hour. 5. Suppose that the time (in...
a hotel, time to process a client's request follows an exponential distribution with a mean of 2.5 minutes a. Find the probability that a given request takes more than 5 minutes to process. b. Find the probability that a given request takes less than 30 seconds to process. c. Find the probability that a given request takes between I and 2.5 minutes to process.
6. The exponential distribution Consider the random variable x that follows an exponential distribution, with p - 10. The standard deviation of X is o = The parameter of the exponential distribution of X is A - What is the probability that X is less than 7? OP(X < 7) = 0.3935 OP(X < 7) = 0.5034 OP(X < 7) = 0.4908 OPIX < 7) = 7981 What is the probability that X is between 12 and 20? O P...
7. Suppose that waiting time, Y, at a particular restaurant follows an Exponential distribution with mean X, where X is a Geometric random variable with mean 1/ p. Find the unconditional mean and variance of Y.
Suppose X has an exponential distribution with A-3. Determine the following probability: P(3.5 SX 85.5) 4.5385x10-5 o 2.4788x10-3 6.6145x10-3 2.7468x10-5 A Moving to the next question prevents changes to this answer. o e é O Type here to search
PHYS10471 2. The following equation occurs in conditional probability: a) 5 marks] B marks 2 marks] b) An electronic system contains in components which are connected in series and they i) Describe the meaning of each term in the equation ii) Write down an expression for the unconditional probability P() in terms of iii) Describe the implications omrix)>MYIX). quantities in the above equation. function independently of each other. The length of time for each component until failure follows an exponential...
PHYS10471 2. The following equation occurs in conditional probability: a) 5 marks] B marks 2 marks] b) An electronic system contains in components which are connected in series and they i) Describe the meaning of each term in the equation ii) Write down an expression for the unconditional probability P() in terms of iii) Describe the implications omrix)>MYIX). quantities in the above equation. function independently of each other. The length of time for each component until failure follows an exponential...
Suppose Y follows a Binomial(M,0.4) (a conditional Binomial distribution given M) and M follows a Poisson distribution with mean equal to 5, what is the unconditional distribution of Y? Suppose Y follows a Binomial(M,0.4) (a conditional Binomial distribution given M) and M follows a Poisson distribution with mean equal to 5, what is the unconditional distribution of Y?
The time required to assemble a part follows an exponential probability distribution with a mean of 5 minutes. What is the probability that the part can be assembled between 3 and 5 minutes? what is the probability that exactly three parts can be assembled in 10 minutes?
Suppose X is an exponential random variable with EX = 2. Find the conditional probability that 3 < X < 4 given that X > 2.