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An accounting office has six incoming telephone lines. Let the random variable X = the number...

An accounting office has six incoming telephone lines. Let the random variable X = the number of busy lines. The probability distribution function for X is given below.

x 0 1 2 3 4 5 6
f(x) 0.052 0.154 0.232 0.240 ? 0.105 0.043

(a). Find the Probability that there are 4 busy lines?

My Ans: It should be 0.826, (1-sum of others).

I'm struggling to answer the rest of them.

(b). Find the expected number of busy lines when someone calls?

My Ans: E(x) = 6 * p = ?

(c). Find the cumulative distribution function(cdf) for X.

?

(d).During the first two weeks in April, the firm experiences triple the number of calls it normally does. Find the expected number of busy lines during this time frame.

?

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