Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,031 lb. The pilot sees that the plane is full and all 6,031 lb = 163 lb. What is the probability passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 37 that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 183.4 lb and a standard deviation of 37.7. The probability is approximately. (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? O A. No. Because the probability is high, the aircraft is safe to fly with its current load. O B. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,031 lb. The pilot sees that the plane is full and all 6,031 lb = 163 lb. What is the probability passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 37 that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 183.4 lb and a standard deviation of 37.7. The probability is approximately. (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? O A. No. Because the probability is high, the aircraft is safe to fly with its current load. O B. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry
37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,031 lb. The pilot sees that the plane is full and all
6,031 lb
= 163 Ib. What is the probability
passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than
37
that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally
distributed with a mean of 183.4 lb and a standard deviation of 37.7.
The probability is approximately.
(Round to four decimal places as needed.)
Should the pilot take any action to correct for an overloaded aircraft?
O A. No. Because the probability is high, the aircraft is safe to fly with its current load.
O B. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.

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