Question 14 4/8 pts 398 Details Today, the waves are crashing onto the beach every 5.4 seconds. The times from when a pe

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Question 14 4 8 Pts 398 Details Today The Waves Are Crashing Onto The Beach Every 5 4 Seconds The Times From When A Pe 1 (64 KiB) Viewed 22 times

Question 14 4/8 pts 398 Details Today, the waves are crashing onto the beach every 5.4 seconds. The times from when a person a arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.4 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 13 seconds after the person arrives is P(x = 1:3) - d. The probability that the wave will crash onto the beach between 12 and 3.7 seconds after the person arrives is P412<x<3,7) e. The probability that it will take longer than 3.98 seconds for the wave to crash onto the beach after the person arrives is P(x>3.98) – f. Suppose that the person has already been standing at the shoreline for 1.4 seconds without a wave crashing in. Find the probability that it will take between 3.3 and 47 seconds for the wave to crash onto the shoreline. g. 46% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the minimum for the lower quartile. seconds Question Help: Read Message instructor Submit Question Question 15 30/8 pts 399 Details A random number generator picks a number from 16 to 36 in a uniform manner. Round answers to 4 decimal places when possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the number will be exactly 17 is Pix = 17) - d. The probability that the number will be between 19 and 29 is P(19<x<29) ► e. The probability that the number will be larger than 32 is Plx > 32) f. PDX > 211 x <34) 8. Find the 23rd percentile h. Find the minimum for the upper quartile Question Help: Read Message instructor Submit Question Question 16 30/8 pts 399 Details Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform distribution from 1 to 53 (a spread of 52 weeks). Round answers to 4 decimal places when possible. a. The mean of this distribution is b. The standard deviation is c. The probability that a person will be born at the exact moment that week 26 begins is PCX = 26) d. The probability that a person will be born between weeks 12 and 52 is P(12 <<52) - The probability that a person will be born after week 33 is Pox > 33) 6. PX > 10x<28) 8. Find the 51st percentile. h. Find the minimum for the lower quartile.