Answer:
(a) The probability distribution is valid.
(b) The histogram is attached below.
(c) The mean is 33.47.
Step-by-step explanation:
(a)
A probability distribution is valid if:
- P (X = x) ≥ 0 for all values of <em>x</em>.
- ∑ P (X = x) = 1
From the probability distribution table it can be seen that the probability for all <em>x</em> is greater than 0.
Compute the sum of all probabilities as follow:
Thus, the probability distribution is valid.
(b)
The histogram is attached below.
(c)
The formula of mean of a discrete probability distribution is:
Compute the mean as follows:
Thus, the mean is 33.47.