A shipment to a warehouse consists of 3,500 MP3 players. The manager chooses a random sample of 50 MP3 players and finds that 3
1 answer:
Answer:
210
Step-by-step explanation:
Given: Number of MP3 Players in a shipment = 3,500
Number of defective MP3 Players in a random sample of 50 MP3 players = 3
To find: Number of defective MP3 Players out of 3,500 MP3 players
Solution:
Number of defective MP3 Players in a random sample of 50 MP3 players = 3
Number of defective MP3 Players in a random sample of 3,500 MP3 players
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Answer:
The probability table is shown below.
A Poisson distribution can be used to approximate the model of the number of hurricanes each season.
Step-by-step explanation:
(a)
The formula to compute the probability of an event <em>E</em> is:
Use this formula to compute the probabilities of 0 - 8 hurricanes each season.
The table for the probabilities is shown below.
(b)
Compute the mean number of hurricanes per season as follows:
If the variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 7.56 then the probability function is:
Compute the probability of <em>X</em> = 0 as follows:
Compute the probability of <em>X</em> = 1 as follows:
Compute the probabilities for the rest of the values of <em>X</em> in the similar way.
The probabilities are shown in the table.
On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of <em>X</em> the Poisson probability is approximately equal to the empirical probability.
