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Mathematics, 31.12.2019 00:31 Samridh
Consider a large ferry that can accommodate cars and buses. the toll for cars is $3, and the toll for buses is $10. let x and y denote the number of cars and buses, respectively, carried on a single trip. cars and buses are accommodated on different levels of the ferry, so the number of buses accommodated on any trip is independent of the number of cars on the trip. suppose that x and y have the probability distributions shown below:
x 0 1 2 3 4 5
p(x) 0.06 0.09 0.26 0.28 0.20 0.11
y 0 1 2
p(y) 0.50 0.10 0.40
(a) compute the mean and standard deviation of x. (round the answers to three decimal places.)
mean of x
correct: your answer is correct.
standard deviation of x
incorrect: your answer is incorrect.
(b) compute the mean and standard deviation of y. (round the answers to three decimal places.)
mean of y
incorrect: your answer is incorrect.
standard deviation of y
incorrect: your answer is incorrect.
(c) compute the mean and variance of the total amount of money collected in tolls from cars. (round the answers to two decimal places.)
mean of the total amount of money collected in tolls from cars $
variance of the total amount of money collected in tolls from cars
(d) compute the mean and variance of the total amount of money collected in tolls from buses. (round the answers to one decimal place.)
mean of the total amount of money collected in tolls from buses $
variance of the total amount of money collected in tolls from buses
(e) compute the mean and variance of z = total number of vehicles (cars and buses) on the ferry. (round the answers to two decimal places.)
mean of z
variance of z
(f) compute the mean and variance of w = total amount of money collected in tolls. (round the answers to one decimal place.)
mean of w $
variance of w
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Mathematics, 21.06.2019 19:30, tgentryb60
Now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.
Answers: 1
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Consider a large ferry that can accommodate cars and buses. the toll for cars is $3, and the toll fo...
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