7. Rate data often follow a lognormal distribution. Average power usage (dB per hour) for a...
1) Rate data often follow a lognormal distribution. Average power usage (dB per hour) for a particular company is studied and is known to have a lognormal distribution with parameters μ = 4 and σ = 2. What is the probability that the company uses more than 270 dB during any particular hour? 2) A certain type of device has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distribution applies. (a) What...
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 59 per hour. Using the normal approximation to the Poisson, find the probability that the electric company receives at most 49 service calls per hour. Round your answer to four decimal places, if necessary.
Suppose junk emails delivered to one's inbox follow a poisson distribution, with a constante average rate of 3 emails per hour. What is the probability that one junk email is received within half an hour after creating an email account?
Clients enter a tax preparer's office at an average rate of 9 per hour. They enter randomly and independently of one another Express your answers to four decimal places. Express the probabilities as decimal fractions- not as percentages a. What is the probability that exactly 7 clients will enter the office in the next half hour? b. What is the probability that at least one client enters the office in the next half hour? c. What is the mean of...
Mary is a waitress in a city centre restaurant. She receives tips from customers at an average rate of λ per hour. During a particular eight a (2 marks) Let X be the number of tips Mary receives in an 8 hour period. If tips are received according to a Poisson process with rate λ tips per hour, state the distribution of X, with parameters b (5 marks) Write down the likelihood function, L(X; 5) for this problem. Remember to...
5. At a walk-in clinic, 30 patients arrive per hour on average. What is the probability that the receptionist needs to wait at least 10 minutes for the next patient to walk in? Round your answer to 4 decimal places. 6. Suppose the heights of units of product from a company follow a normal distribution with an unknown mean and standard deviation. They collect a sample of 49 units and find a sample mean height of 23.5 inches and a...
4 Mary is a waitress in a city centre restaurant. She receives tips from customers at an average rate of λ per hour. During a particular eight hour shift, she receives 5 tips. We wish to estimate λ. a (2 marks) Let X be the number of tips Mary receives in an 8 hour period. If tips are received according to a Poisson process with rate A tips per hour, state the distribution of X, with parameters b (5 marks)...
Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 3 arrivals in a 12 minute period?
please solve all questions... emergency 9. Births in a hospital occur randomly at an average rate of 1.8 births per hour. process is a Poisson random variable. Assume that birth (3 pts) What about the probability of observing more than or equal to 2 births in a given hour at the hospital? b. e opo Wahat he probabiliy h dly 10 biths n day t d. What is the expected number of births in two hours? 10. Suppose that on...
1. The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard deviation is $160 and that the amount spent is normally distributed. What is the probability that the amount spent on a randomly selected child is more than $700? (Round to four decimal places) What is the probability that the amount spent on a randomly selected child is less than $100? (Round to four decimal places) What is the probability...