Roy has a bag containing green, blue, red, brown, and black marbles. He randomly picks a marble and replaces it. He repeats this
experiment 60 times and records the results in this table.
1 answer:
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Answer:
a) 3.47% probability that there will be exactly 15 arrivals.
b) 58.31% probability that there are no more than 10 arrivals.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
If the mean number of arrivals is 10
This means that
(a) that there will be exactly 15 arrivals?
This is P(X = 15). So
3.47% probability that there will be exactly 15 arrivals.
(b) no more than 10 arrivals?
This is
58.31% probability that there are no more than 10 arrivals.