Is Event B dependent or independent of Event A? A: A green ball is drawn from a box with five balls and placed next to the box.
1 answer:
Answer:
Step-by-step explanation:
Given that events are as follows:
A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one
i.e. drawings of balls are made without replacement
Suppose there are m green balls and n red balls, where m+n =5
Prob of drawing green ball =m/5
After I draw made remaining are n red balls and m-1 green balls
Prob of drawing red ball now =n/4
Prob for drawing one green and one red simultaneously =
Product of the two probabilities =
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Answer:
a) 0.1558
b) 0.7983
c) 0.1478
Step-by-step explanation:
If we suppose that small aircraft arrive at the airport according to a <em>Poisson process</em> <em>at the rate of 5.5 per hour</em> and if X is the random variable that measures the number of arrivals in one hour, then the probability of k arrivals in one hour is given by:
(a) What is the probability that exactly 4 small aircraft arrive during a 1-hour period?
(b) What is the probability that at least 4 arrive during a 1-hour period?
(c) If we define a working day as 12 hours, what is the probability that at least 75 small aircraft arrive during a working day?
If we redefine the time interval as 12 hours instead of one hour, then the rate changes from 5.5 per hour to 12*5.5 = 66 per working day, and the pdf is now
and we want <em>P(X ≥ 75) = 1-P(X<75)</em>. But
hence
P(X ≥ 75) = 1-0.852 = 0.1478