Question 2 Graph P(X=x) for binomial distributions with the following parameters a) ? = 4 ???...

Question 2

Graph P(X=x) for binomial distributions with the following parameters
a) ? = 4 ??? ? = 0.5
b) ? = 4 ??? ? = 0.3
c) ? = 4 ??? ? = 0.1
d) Which if any of the graphs in part a-c are symmetric?
e) Without actually constructing the graph, would the case
? = 10 ??? ? = 0.5 be symmetric or skewed?
f) Which of the graphs in part a-c is the most heavily skewed?
g) Without actually constructing the graph, would the case ? = 4 and
? = 0.01 exhibit more or less skewness than the graph in part(c)?

Question 3

Suppose that a random variable y has a Poisson distribution.
Compute the following probabilities
a) P(y = 4) given ? = 3
b) P(y<4) given ? = 3
c) P(y<=4) given ? = 3
d) P(y>4) given ? = 3
e) P(2<y<5) given ? = 3

Question 4

The number of calls coming to the customer care center of a mobile company per
minute is a Poisson random variable with mean 5. Find the probability that no call
comes in a certain minute

Solutions

Expert Solution

orchestra answered 1 year ago

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