Question
In: Statistics and Probability
For a certain river, suppose the drought length Y is the number of consecutive time intervals...
For a certain river, suppose the drought length Y is
the number of consecutive time intervals in which the water supply
remains below a critical value y0 (a deficit),
preceded by and followed by periods in which the supply exceeds
this critical value (a surplus). An article proposes a geometric
distribution with p = 0.385 for this random variable.
(Round your answers to three decimal places.)
(a) What is the probability that a drought lasts exactly 3
intervals? At most 3 intervals?
| exactly 3 intervals | |
| at most 3 intervals |
(b) What is the probability that the length of a drought exceeds
its mean value by at least one standard deviation?
Solutions
orchestra answered 1 year agoRelated Solutions
For a certain river, suppose the drought length Y is the number of consecutive time intervals...
For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains below a critical value y0 (a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p = 0.409 for this random variable. (Round your answers to three decimal places.)(a) What is the probability that a drought lasts exactly 3 intervals? At most 3...
For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains below a critical value y0 (a deficit)
For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains below a critical value y0 (a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p = 0.375 for this random variable. (Round your answers to three decimal places.)(a) What is the probability that a drought lasts exactly 3 intervals? At most 3...
The time intervals between two consecutive accidents in an intersection were recorded to be 3, 10,...
The time intervals between two consecutive accidents in an
intersection were recorded to be 3, 10, 2, 3, 3, 11, 7, and 5 days.
Suppose the time interval is geometrically distributed. Determine
its parameter using the method of moments, and using the method of
maximum likelihood. Compare the results.
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the
next eruption) of a certain geyser. Find the regression equation,
letting the height of the current eruption be the explanatory
variable (denoted by x). Then use this equation to determine the
predicted length of the time interval after an eruption given that
the current eruption has a height of 113feet.
Height (ft), Interval after (min)
96 66
128 85
75 59
128 86
88 70
73 75
80 73...
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the next
eruption) of a certain geyser. Find the regression equation,
letting the first variable be the independent (x) variable. Find
the best predicted time of the interval after an eruption given
that the current eruption has a height of
120
feet. Use a significance level of 0.05.
Height (ft)
Height (ft) Interval after (min)
96 68
111 80
76 66
91 72
66 58
108 79
116 84
91 ...
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the
next eruption) of a certain geyser. Find the regression equation,
letting the first variable be the independent (x) variable. Find
the best predicted time of the interval after an eruption given
that the current eruption has a height of 126 feet. Use a
significance level of 0.05.
Height (ft) Interval after (min)
84 76
122 77
78 67
108 87
73 61
105 77
122 87
78 70
What...
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the
next eruption) of a certain geyser. Find the regression equation,
letting the first variable be the independent (x) variable. Find
the best predicted time of the interval after an eruption given
that the current eruption has a height of 149 feet. Use a
significance level of 0.05. Height (ft) 136 140 134 144 102 109
104 116 Interval after (min) 83 84 94 92 67 67 84 84.
What...
The data show the time intervals after an eruption (to the next eruption) of a certain...
The data show the time intervals after an eruption (to the
next eruption) of a certain geyser. Find the regression equation,
letting the first variable be the independent (x) variable. Find
the best predicted time of the interval after an eruption given
that the current eruption has a height of 148 feet. Use a
significance level of 0.05. Height (ft) Interval after (min) 136 83
140 84 134 94 144 92 102 67 109 67 104 84 116 84
The length of time needed to complete a certain test is normally distributed with mean 77...
The length of time needed to complete a certain test is normally
distributed with mean 77 minutes and standard deviation 11 minutes.
Find the probability that it will take between 74 and 80 minutes to
complete the test.
Suppose the time interval between two consecutive defective light bulbs from a production line has a...
Suppose the time interval between two consecutive defective
light bulbs from a production line has a uniform distribution over
an interval from 0 to 90 minutes. what is the probability that the
time interval between two consecutive defective light bulbs will be
at least 50 minutes?
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