Based on an analysis of sample data, an article proposed the pdf
f(x) = 0.65e−0.65(x − 1)
when
x ≥ 1
as a model for the distribution of
X = time (sec)
spent at the median line. (Round your answers to three decimal places.)
(a) What is the probability that waiting time is at most 6 sec? More than 6 sec?
| at most 6 sec | P(X ≤ 6) | = | ||
| more than 6 sec | P(X > 6) | = |
(b) What is the probability that waiting time is between 4 and 6
sec?
Based on an analysis of sample data, an article proposed the pdf f(x) = 0.65e−0.65(x −...
Based on an analysis of sample data, an article proposed the pdf f(x) = 0.55e−0.55(x − 1) when x ≥ 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.) (a) What is the probability that waiting time is at most 7 sec? More than 7 sec? 1. at most 7 sec P(X ≤ 7) = ? 2. more than 7 sec P(X > 7) = ? (b)...
Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. f(x) = 90x8(1 − x) 0 < x < 1 0 otherwise (a) Graph the pdf. Obtain the cdf of X. F(x) = 0 x < 0 0 ≤ x ≤ 1 1 x > 1 Graph the cdf of X. (b) What is P(X ≤ 0.65) [i.e., F(0.65)]? (Round your answer to four decimal places.)...
An article proposes the Weibull distribution with a 1.817 and B 0.883 as a model for 1-hour significant wave height (m) at a certain site. (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) (c) What is the median of the wave-height distribution? (Round...
An article proposes the Weibull distribution with a at a certain site 1.897 and B 0.813 as a model for 1-hour significant wave height (m) (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) 0.3281 (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) (c) What is the median of the wave-height distribution?...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a certain article, the mean of the x distribution is about $30 and the estimated standard deviation is about $5. (a) Consider a random sample of n = 40 customers, each of whom has 10 minutes of unplanned shopping time in a supermarket. From the central limit theorem, what can you say about the probability distribution of x, the average amount...
1. Consider a random sample of size n from a population with pdf: f (x) = (1 -p-p, 0 <p<1, x= 1, 2, ... (a) Show that converges in probability to p. (b) Show that converges in probability to p (1 – p). (c) Find the limiting distribution of
Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. 56x6(1 - x) 0 x 1 f(x) = otherwise Obtain the cdf of X. 0 0 > X F(x) 0 s x s 1 1 x > 1 Graph the cdf of X F(x) F(x) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 1.0 0.8 0.6 0.4 0.2 1.0 0.8 0,6 0.4 0.2 F(x F(x)...
Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. f(x) = 72x7(1 − x) 0 < x < 1 0 otherwise (a) Graph the pdf. Obtain the cdf of X. F(x) = 0 x < 0 0 ≤ x ≤ 1 1 x > 1 (a) Using the cdf from (a), what is P(0.3 < X ≤ 0.6)? (Round your answer to four...
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