1- The weight X of salmon caught in a river is has mean μ = 24...
1- The weight X of salmon caught in a river is has mean μ = 24 pounds and standard deviation σ = 8 pounds. If you catch 36 fish, what is the approximate probability that the total weight of fish caught will exceed 900 pounds? (Use CLT.)
2 - During the rainy season, in a region, the mean weekly rainfall is 10 inches and standard deviation 4.4 inches. What is the probability thattotal rainfall during the remaining 12 weeks of the season would exceed 130 inches? (Use CLT.)
3 - The mean time a real-estate agent spend showing a house is 55 minutes and standard deviation is 22 minutes. An agent showed 33 houses in a week. What is the (approximate) probability that the agent would have spent less than a total of 1800 minutes (30 hours) showing houses?
4 - The mean time taken by a school student to complete a homework problem is 220 seconds and standard deviation 100 seconds. A home- work assignment has 30 problems. What (approximate) proportion of students would spend more than a total of 6000 seconds (100 minutes)?
Homework Answers
Suppose the weights of king salmon are normally distributed with a mean of 35 pounds and...
Suppose the weights of king salmon are normally distributed with a mean of 35 pounds and a standard deviation of 4.25 pounds. A commercial fishing boat sells most of the kink salmon caught to local retail stores, sells some to a gourmet food processor, and donates low-weighing fish to Bean Café. (a) What proportion of the king salmon weighs between 25 and 35 pounds? (b) What is the probability that a king salmon weighs above 40 pounds? (c) Above what...
The weight X of babies (of a fixed age) is normally distributed with mean μ =...
The weight X of babies (of a fixed age) is normally distributed with mean μ = 212 ounces and standard deviation σ = 25 ounces. Doctors would also be concerned (not necessarily alarmed) if a baby is among the upper 10 percent in weight. Find the cut-off weight u, above which the doctors will be concerned. The weight X of salmon caught in a river is normally distributed with mean μ = 24 pounds and standard deviation σ = 6...
Math 3023  
Math 3023
Homework # 04
Spring 2018
Prairie View A & M University
Name:
___________________________
(1). The amount of time, in minutes, that a person must wait for
a bus is uniformly distributed between 0 and 15 minutes,
inclusive.
(a). On the average, how long must
a person wait? [Hint: Find the mean (expected value)]
(b). Find the standard deviation of
the r.v.?
(c). Ninety percent of the time,
the time a person must wait falls below...
Question 2 1 pts The lengths of adult salmon is Normally distributed with a mean of...
Question 2 1 pts The lengths of adult salmon is Normally distributed with a mean of 28.7 inches and a standard deviation of 2.9 inches. You take an SRS of 36 adult salmon. What is the probability that your sample has a mean larger than 29 inches? Round your answer decimal to 2 places after the decimal. Leave your answer in decimal form.
The owner of a fish market finds that the mean weight for a catfish is 3.2...
The owner of a fish market finds that the mean weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pounds. Assume that the weights of the catfish are normally distributed. You buy a sample of 25 catfish. What is the probability that the mean weight of the 25 catfish is less than 3 pounds?
The mean daily rainfall in Los Angeles in December is 0.05 inches with a standard deviation...
The mean daily rainfall in Los Angeles in December is 0.05 inches with a standard deviation of 0.02 inches. What is the probability that the total rainfall in Los Angeles for 35 randomly selected December days (possibly over several years) will exceed 2 inches? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
The owner of a fish market determined that the mean weight for a catfish is 3.2...
The owner of a fish market determined that the mean weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, what is the probability that a randomly selected catfish will weigh between 2 and 4 pounds?
Your answer is incorrect. The mean daily rainfall in Los Angeles in December is 0.05 inches...
Your answer is incorrect. The mean daily rainfall in Los Angeles in December is 0.05 inches with a standard deviation of 0.02 inches. What is the BB probability that the total rainfall in Los Angeles for 35 randomly selected December days (possibly over several years) will exceed 2 inches? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
07 samplings for review-SET 1 FOR POSTING.pdf CHLOR, 12 A SAMPLING THEORY QUESTION 7 - WEIGHT...
07 samplings for review-SET 1 FOR POSTING.pdf CHLOR, 12 A SAMPLING THEORY QUESTION 7 - WEIGHT OF ROCK COLLECTED BY MARS ROVERS The rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rovers exceeds 530 pounds. What is the probability that the total weight of the samples will exceed 530 pounds? What sampling distribution should we use to compute this probability? a. binomial b. normal C....
1) The weights of newborn children in the U.S. vary according to the normal distribution with...
1) The weights of newborn children in the U.S. vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies newborns as having low birth weight if the weight is less than 5.5 pounds. a) What is the probability that a baby chosen at random weighs less than 5.5 pounds at birth? b) Suppose we select 10 babies at random. What is the probability that their average birth weight is less than 5.5...
Math 3023
Homework # 04
Spring 2018
Prairie View A & M University
Name:
___________________________
(1). The amount of time, in minutes, that a person must wait for
a bus is uniformly distributed between 0 and 15 minutes,
inclusive.
(a). On the average, how long must
a person wait? [Hint: Find the mean (expected value)]
(b). Find the standard deviation of
the r.v.?
(c). Ninety percent of the time,
the time a person must wait falls below...
Question 2 1 pts The lengths of adult salmon is Normally distributed with a mean of 28.7 inches and a standard deviation of 2.9 inches. You take an SRS of 36 adult salmon. What is the probability that your sample has a mean larger than 29 inches? Round your answer decimal to 2 places after the decimal. Leave your answer in decimal form.
The mean daily rainfall in Los Angeles in December is 0.05 inches with a standard deviation of 0.02 inches. What is the probability that the total rainfall in Los Angeles for 35 randomly selected December days (possibly over several years) will exceed 2 inches? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Your answer is incorrect. The mean daily rainfall in Los Angeles in December is 0.05 inches with a standard deviation of 0.02 inches. What is the BB probability that the total rainfall in Los Angeles for 35 randomly selected December days (possibly over several years) will exceed 2 inches? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
07 samplings for review-SET 1 FOR POSTING.pdf CHLOR, 12 A SAMPLING THEORY QUESTION 7 - WEIGHT OF ROCK COLLECTED BY MARS ROVERS The rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rovers exceeds 530 pounds. What is the probability that the total weight of the samples will exceed 530 pounds? What sampling distribution should we use to compute this probability? a. binomial b. normal C....
1) The weights of newborn children in the U.S. vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies newborns as having low birth weight if the weight is less than 5.5 pounds. a) What is the probability that a baby chosen at random weighs less than 5.5 pounds at birth? b) Suppose we select 10 babies at random. What is the probability that their average birth weight is less than 5.5...
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