Question

A random variable Xfollows the continuous uniform distribution with a lower bound of -5 and an upper bound of 7. a. What is the height of the density function fix? (Round your answer to 4 decimal places.) points eBoos b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) References Mean Standard deviation c. Calculate XS-1). (Round Intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) PAX 5.1) The scheduled arrival time for a daily flight from Boston to New York is 9:25 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 9:16 am and a late arrival time of 9:49 am a. After converting the time data to a minute scale, calculate the mean and the standard deviation of the distribution. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) points minutes Mean Standard deviation minutes 989 b. What is the probability that a flight arrives late (later than 9:25 am)? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) References Probability ter 6 Homework Assignment Find the following probabilities based on the standard normal variable 2 (You may find it useful to reference the z table. Round your answers to 4 decimal places.) a. P(Z >0.75) b. PIZS-24) C POSZ $1.31) d. P(-0.56 $2$2.59) ?19