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vanna7353
09.04.2020 •
Mathematics
You have 12 apples and 4 oranges. You get a snack for yourself and 2 of your friends. What is the probability that you randomly pick all apples? *
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You have 12 apples and 4 oranges. You get a snack for yourself and 2 of your friends. What is the probability that you randomly pick all oranges? *
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Ответ:
Step-by-step explanation:
(a) Total repairs on an average in 3 years is given by:
2 repairs per year,
so , in 3 years it will be
= 6 repairs
Now, from Poisson distribution,
P =
(1)
where,
x = 0, 1, 2, .......
Now, using eqn (1):
P(X = x) =![\frac{e^{-6}.6^{x}}{x!}](/tpl/images/0129/3074/6a609.png)
To calculate the probability of less than 2 repairs in the 3 years:
for![P[X](/tpl/images/0129/3074/c6251.png)
Now,
(b) To calculate the probability for 1 and 2 more years for next repair, if current repairs are 3:
The distribution function can be given by:
Let Y denote the wait for next year and using eqn (2)
(a) The probability for less than 2 repairs in next 3 years is 0.01735
(b) The probability to wait between 1 and 2 more years for next repair is 0.04731