A random number generator picks a number from 19 to 58 in a uniform manner. Round answers to 4 decimal places when possible. a. Find the mean and standard deviation of distribution b. The probability that the number will be exactly 43 is P(x = 43) = c. he probability that the number will be between 27 and 53 is P(27 < x < 53) =
A random number generator picks a number from 19 to 58 in a uniform manner. Round answers to 4 decimal places when possible.
a. Find the mean and standard deviation of distribution
b. The probability that the number will be exactly 43 is P(x = 43) =
c. he probability that the number will be between 27 and 53 is P(27 < x < 53) =
d. The probability that the number will be larger than 27 is P(x > 27) =
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Today the waves are crashing every 4.6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.6 seconds. Round to 4 decimal places where possible. c. The probability that the wave will crash onto the beach exactly 1.1 seconds after the person arrives is P(x+1.1)=_____. d. The probabilty that the wave will crash onto the beach between 1.7 and 3.6 seconds after the person arrives is P(1.7 <x<3.6)=_____. e. The probability that it will take longer than 0.92 seconds for the wave to crash onto the beach after the person arrives is P(x>0.92)=____. f. Suppose that the person has already been standing at the 0.4 seconds without a wave crashing in. Find the probability that it will take between 1.7 and 2.2 seconds for the wave to crash onto the shoreline____. g. 43% of the time a person will wait at least how long before the wave crashes in?_____seconds. h. Find the maximum for the lower quartile._____seconds.
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