A species of insect has larvae that disperse away from their birth site according to the...
A species of insect has larvae that disperse away from their birth site according to the PDF
f(x) = 2/(x(ln(x))^3) for x ≥ e and f(x) = 0 otherwise where x is the distance in miles from the
birth site. What is the probability that a larva will travel at least e^3 miles away?
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A species of insect has larvae that disperse away from their
birth site according to the...
2- (15%) Let X denote the distance (m) that an animal moves from its birth site...
2- (15%) Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with the mean of 72.15. (McCarthy, 1997) a. What is the probability that the distance is at most 150 m² b. What is the probability that distance exceeds the mean distance by more than 2 standard deviations?
5. Let x be the distance (m) that an animal moves from its birth site to...
5. Let x be the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, x has an exponential distribution with parameter -0.01386 m1 a) Name the distribution you will use to model this situation, and explain why (give more than just because it's named in the problem!). b) What is the mean distance for this population of banner-tailed kangaroo rats? c) What proportion of distances in...
Let X denote the distance (m) that an animal moves from its birth site to the...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed Kangaroorats, X has an exponenti distribution with parameter = 0.01337 (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What is...
Let X denote the distance (m) that an animal moves from its birth site to the...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter = 0.01377. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What...
Let X denote the distance (m) that an animal moves from its birth site to the...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, x has an exponential distribution with parameter 1 = 0.01422. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b)...
Let X denote the distance (m) that an animal moves from its birth site to the...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter λ = 0.01457. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200...
NOTES Let X denote the distance (m) that an animal moves from its birth site to...
NOTES Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed Kangaroorats, X has an exponenti distribution with parameter 1 0.01337 (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places) at most 100 m 0.01 X at most 200 m 0.012 between 100 and 200...
Let X denote the distance (m) that an animal moves from its birth site tothe...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter ? = 0.01327.(a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.)at most 100 mat most 200 mbetween 100 and 200 m(b) What is the probability that...
Let X denote the distance (m) that an animal moves from its birth site to the...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, has an exponential distribution with parameter λ = 0.01392 (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What...
• Water temperatures (Centigrade) over a period of one Summer day in the Arctic has varied...
• Water temperatures (Centigrade) over a period of one Summer day in the Arctic has varied according to the following pdf: f(x) = { 22 41 0 : -4 < x < 5 : otherwise a) Calculate E(X) b) Calculate P[X<2|X> -1] c) What is P[ -1 <x< 3]?
2- (15%) Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with the mean of 72.15. (McCarthy, 1997) a. What is the probability that the distance is at most 150 m² b. What is the probability that distance exceeds the mean distance by more than 2 standard deviations?
5. Let x be the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, x has an exponential distribution with parameter -0.01386 m1 a) Name the distribution you will use to model this situation, and explain why (give more than just because it's named in the problem!). b) What is the mean distance for this population of banner-tailed kangaroo rats? c) What proportion of distances in...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed Kangaroorats, X has an exponenti distribution with parameter = 0.01337 (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What is...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter = 0.01377. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, x has an exponential distribution with parameter 1 = 0.01422. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b)...
NOTES Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed Kangaroorats, X has an exponenti distribution with parameter 1 0.01337 (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places) at most 100 m 0.01 X at most 200 m 0.012 between 100 and 200...
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, has an exponential distribution with parameter λ = 0.01392 (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What...
• Water temperatures (Centigrade) over a period of one Summer day in the Arctic has varied according to the following pdf: f(x) = { 22 41 0 : -4 < x < 5 : otherwise a) Calculate E(X) b) Calculate P[X<2|X> -1] c) What is P[ -1 <x< 3]?
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