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NemiM
3 months ago
11

The probabilities are 0.4, 0.2, 0.3 and 0.1, respectively, that a delegate to a certain convention arrived by air, bus, automobi

le, or train.
a. Consider 9 randomly selected delegates at this convention. What is the probability that from these 9 delegates, 3 arrived by air, 3 arrived by bus, 1 arrived by automobile, and 2 arrived by train?
b. Consider 9 randomly selected delegates at this convention. Suppose we are only interested in the delegates arriving by bus. What is the probability distribution of X: the number of delegates that arrived by bus?What is the probability that all 9 delegates arrived by bus?
c. Consider 9 randomly selected delegates at this convention. Suppose we are only interested in the delegates arriving by train. What is the probability distribution of X: the number of delegates that arrived by train? What is the expected value of the number of delegates that arrived by train?
d. Suppose now we are interested in delegates arriving by automobile. Suppose X represents the number of delegates that arrive until 5 have arrived by automobile. What is the distribution of X? What is the probability that exactly 10 delegates will arrive until 5 have arrived by automobile?
e. Suppose the delegates arrive at a rate of 3 delegates per hour. What is the probability that 5 delegates arrive over a two hour period?

Mathematics
1 answer:
Zina [12.3K]3 months ago
5 0

Answer:

Refer to the solution provided.

Step-by-step explanation:

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I hope this is helpful:-)
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An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was intere
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       From the 30,000 car buyers, select 1,000 customers to contact.
    3) Select contact method: what is your means of contacting customers?
       Since you have a list with names and addresses, mailing questionnaires is feasible.
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B) The 32.5% probability relates only to those customers who experienced mechanical issues, specifically power door lock problems, and does not account for those without any problems or those reporting issues after the first 5,000 miles.

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