A commuter airline flies small planes between San Luis Obispo and San Francisco. For small planes, the baggage weight is a concern especially on foggy mornings, because randomly selected passenger is normally distributed has a mean of 38 pounds and a standard deviation of 10 pounds. a.) First, if there are only two passengers on the plane, what are the mean and standard deviation of the total passenger baggage weight? Mean: Standard deviation: b.) What is the probability that the total passenger baggage weight from only two passengers exceeds90lbs? With only 2 passengers, we can't use the CLT.0.14460.16110.1515c.) Now suppose the plane has ten passengers. What are the mean and standard deviation of the total passenger baggage weight in this case? Mean: Standard deviation: c.) In the current weather conditions, the pilot will not take off if the total passenger baggage weight from these ten passengers is greater than 480 pounds. What is the probability the pilot will not take off?

Respuesta :

The values of mean and standard deviation of the total passenger baggage weight in respected cases of commuter airline is given below:

How do you calculate probability?

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are the probability that something happens divided by the probability that it doesn't happen.

What are the 2 types of probability?

Relative Frequency Definition.

Subjective Probability.

a.) If there are only two passengers on the plane, the mean of the total passenger baggage weight would be 76 pounds and their standard deviation would be10 pounds.

b.) The probability would be 0.1611 that the total passenger baggage weight from two passengers exceeds 90 pounds.

c.) If the plane has ten passengers, the mean of the total passenger baggage weight would be 380 pounds and their standard deviation would be 30 pounds.

d.) The probability would be 0.1515 that the pilot will not take off.

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