Bananas are sold in bunches at a grocery store and typically consist of 4-8 bananas per bunch. Suppose the weight of these bunches follows a standard normal distribution with a mean of 3.54pounds and a standard deviation of 0.63 pounds. What is the probability that a randomly selected bunch of bananas will weigh between 3.6 and 4.2 pounds? Round to four decimal places....O A. 0.4641B. 0.2676OC. 0.4090O D. 0.3133

According to the given information, we have Mean = 3.54 Standard deviation = 0.63

Answered: Bananas are sold in bunches at a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1
1. The test scores of an Engineering Mechanics class with 800 students are distributed normally with a mean of 75 and a standard deviation of 7. a. What percentage of the class has a test score between 68 and 82? b. Approximately how many students have a test score between 61 and 89? c. What is the probability that a student chosen at a random has a test score between 54 and 75? d. Approximately how many students have a test score greater than or equal 96
18 O 16 O 20 42 QUESTION 9 The service time for customers coming through a checkout counter has mean 50 seconds and standard deviation 6.8 seconds. Find the probability that the average service time for 64 passengers to get service will be between 48.4 and 51.6 seconds. O 0.0301 O 0.1897 0.9699 O 0.9399 QUESTION 10 A research worker wants to determine the average time it takes a mechanic to rotate the tires of a car, and she wants to be able to assert with 95% confidence that the mean of her sample is off by at most 0.3 minutes. If she can presume from past experience that the actual time follows normal distribution with a standard deviation of 1.5 minutes, how large the sample will she have to take? O 96 97 9. Save All Answers Click Save and Submit to save and submit. Click Save All Answers to save all answers. O O O O
Given that Z is a standard normal random variable, what is the value of Z if the area to the right of Z is 0.7054? A.-0.54 B.1.54 C.0.54 D.-1.54
The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 9. Find the standard deviation for the binomial random variable X, the number of seeds germinating in each batch Round to three decimals A. 1.375. OB. 1.296 O C. 1.281 OD. 1.358
15
Coal is carried from a mine in west virginia to a power plant in new york in hopper cars on a long train. The automatic hopper car loader is set to put 77 tons of coal into each car. The actual weights of coal loaded into each care are normally distributed with mean u= 77 tons and standard deviation 0= 1.1 ton. A. What is the probability that one car chosen at random will have less than 76.5 tons of coal? ( Round your answer to four decimal places.) B. What is the probability that 29 cars chosen at random will have a mean load weight x of less than 76.5 tons of coal? ( Round your answer to four decimal places) C. Suppose the weight of coal in one car was less than 76.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment. Suppose the weight of coal in 29 cars selected at random had an average x of less than 76.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why?
The full height of a certain species of tree has a normal probability distribution with a mean of 195.6 ft and a standard deviation of 7.5 ft. State the random variable. ¯x = the height of a certain species of tree ¯x = the mean height of a certain species of tree x = the height of a certain species of tree x = the diameter of a certain species of tree A tree of this type grows in my backyard, and it stands 187.4 feet tall. Find the probability that the height of a randomly selected tree is shorter than mine. Round to three decimal places.Which is the notation for the probability that the height is shorter than mine? P(x < 187.4) P(¯x < 195.6) P(¯x > 195.6) P(x > 195.6) P(¯x< 187.4) P(x < 195.6)
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 40. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 40. The value of the mean is u = peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o =| peas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of peas or fewer are significantly low. (Round to one decimal place as needed.) Values of peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 2 peas with green pods a result that is significantly low? Why or why not? The result significantly low, because 2 peas with green pods is peas.…

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