4 Write always, sometimes, or never. 1. Multiplying a decimal by 104 shifts the decimal point 4 places to the right. a 2. The pr
1 answer:
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Answer:
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
substitute
simplify
Answer:
The probability that the plane is oveloaded is P=0.9983.
The pilot should take out the baggage and send it in another plain or have less passengers in the plain to not overload.
Step-by-step explanation:
The aircraft will be overloaded if the mean weight of the passengers is greater than 163 lb.
If the plane is full, we have 41 men in the plane. This is our sample size.
The weights of men are normally distributed with a mean of 180.5 lb and a standard deviation of 38.2.
So the mean of the sample is 180.5 lb (equal to the population mean).
The standard deviation is:
Then, we can calculate the z value for x=163 lb.
The probability that the mean weight of the men in the airplane is below 163 lb is P=0.0017
Then the probability that the plane is oveloaded is P=0.9983:
The pilot should take out the baggage or have less passengers in the plain to not overload.