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- The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x)=0.50e-0.50x for x ≥ 0 What is the mean time between telephone calls? What is the probability of 30 seconds or less between telephone calls? What is the probability of 1 minute or less between telephone calls? What is the probability of 5 or more minutes without a telephone call?express the event "taking atleast 16 credits" in terms of X and find its probabilityIf the probability P (a < x < b ) = 0.0395 for the function Y = 3 X 2 and a = 0.15, find the value of b. 0.54 0.35
- Exercise 24 Let A and B be 2 events : P(A) : 1 and P(B') 1 Can A and B be mutually exclusive? Why?Match the following questions with the correct answers. A. 24 B. 0.0929 C. 2 D. 154 E. 3/4 F. 120 select select select select select select 1. If X220, the probability that a man aged x marries at time t from the present is 15dt/(t+x)2. Find the probability that a person aged 20 eventually marries. 2. If X is the number of 6's which appear when 72 dice are thrown, what is the expected value of X²? 3. Suppose only 12% of men in ancient Greece were honest. What is the probability that the first honest man Diogenes Jencounters will be the third man he meets? 4. Find the expected value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 5. Find the variance value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 6. If for a Poisson distribution 2f(0)+f(2)=2f(1), what is the variance of the distribution?For each value of z*, find the cumulative probability P(Z s z*). (Round your answers to four decimal places.) AUSE SALT (a) z* = 1.96 (b) z* =-2.33 (c) z* = 2.58 (d) z* = 1.65
- The life of a semiconductor laser at a constant Power is normally distributeel with mean of 488 hours and a standard devication of 208 haurs what is the Probability that a laser life excceeds 588 hours 2 1iwhat is the Probability that a laser life fails before 418 hours? 1il:what is the life in hours that 95% of the laserrs exceed?Find the value of X (Left Tailed Probability of 0.5) for v1 = 10 and v2 = 20 degrees of freedom.Charlie is about to take two laps in the school swimming pool. The time of his first lap is X minutes, where X is an Exponential(1) random variable. The time of his second lap is Y minutes, where Y is an Exponential(X) random variable. What is the probability that he completes his second lap within one minute?
- Assuming a population is normally distributed, calculate the probability that a random member of the population falls between 3 standard deviations below the mean and 1 standard deviation below the mean. In other words in mathematical notation: P(-3 < z < -1) Enter your answer in decimal form. For example, 75% should be entered as 0.75.A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.Assume that the probability of a being born with Genetic Condition B is �=17/30. A study looks at a random sample of 286 volunteers.Find the most likely number of the 286 volunteers to have Genetic Condition B.(Round answer to one decimal place.)μ = Let � represent the number of volunteers (out of 286) who have Genetic Condition B. Find the standard deviation for the probability distribution of �.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =