In average, the probability that an individual employee commutes to work by car is 0.65. If 20 employees are selected as the sample:
(What type of distribution is this i.e. Gaussian, Poisson, etc.)
This is an example of the Binomial Distribution.
Let
be the random variable denoting the number of employees that
commute to work by car.
As per the given information, the probability of that the
employee commutes to the work by a car is .
Here, the sample size is .
Therefore, follows
distribution.
(a)
The probability that none of the employees travel by car is:
(b)
The average nimber of employees commuting to work by car is:
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