Question

Suppose that the average time a fully charged 6 volt laptop battery will operate a computer is 20 hours and follows the exponential probability distribution. Determine the following probabilities a) Determine the probably that the next charge will last less than 1.5 hours b) Determine the probability that the next charge will last between 2.7 and 48 hours c) Determine the probability that the next charge will last more than 3 hours a) The probability that the next charge will last less than 1.5 hours is (Round to four decimal places as needed.) b) The probability that the next charge will last between 27 and 48 hours is (Round to four decimal places as needed.) c) The probability that the next charge will last more than 3 hours is Round to four decimal places as needed.) A random variable follows the continuous uniform distribution between 35 and 145. a) Calculate the probability below for the distribution. P(55 SX S115) b) What are the mean and standard deviation of this distribution? a) P(55 sxs 115) = (Type an integer or decimal rounded to three decimal places as needed.) b) The mean of this distribution is (Type an integer or decimal rounded to two decimal places as needed.) The standard deviation of this distribution is (Type an integer or decimal rounded to two decimal places as needed.)