Two types of claims, A and B, are submitted at an insurance company on damages due to a certain event with 35% claims in type A and the rest in type B. The individual claim amount follows a continuous uniform distribution over (100, 700) for type A and an exponential distribution with variance 40,000 for type B. Find the coefficient of variation for the amount of a randomly selected claim on the damage due to the event. O 0.79 0.84 O 0.64 O 0.52 O 0.71

Find E(X), Var(X), and the standard deviation of X, where X is the random variable whose probability table is given in the table below. Outcome 1 2 3 1 1 Probability 5 5 What is the expected value of the random variable X associated with the probability table given in the problem statement? E(X) = 12 5 (Type an integer or a simplified fraction.) What is the variance of the random variable X? Var(X) = (Type an integer or a simplified fraction.) 35 ■ . = C (-) Moro

A certain brokerage house wants to estimate the mean daily return on a certain stock. A random sample of 12days yields the following return percentages 2.23, 1.76, 0.43, 0.99, −2.9, −0.35, 1.69, −0.1, −0.62, −1.48, −2.53, 1.15. If we assume that the returns are normally distributed, find a 95% confidence interval for the mean daily return on this stock. Give the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. Lower limit= Upper limit=

Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes.1. Give a mathematical expression for the probability density function of flight timeand the expected value and variance of the distribution;2. Create a scatter graph using dynamic process learnt in the previous sessions to show the uniform probability distribution graphically, then answer the below questions:a. What is the probability that the flight will be no more than 5 minutes late?b. What is the probability that the flight will be more than 10 minutes late?c. What is the probability that the flight will be between 4 and 8minutes late?d. In a month of 200 flight journeys finished, how many should have arrived 5 minutes or less earlier?Question 2 Normal DistributionNew York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per…