For each scenario described below, state the distribution that is a reasonable m

Question

For each scenario described below, state the distribution that is a reasonable model for the random variable and why. State any assumptions you make.

e) The phone lines to an airplane reservation system are occupied 70% of the time. Assume that the events that the lines are occupied on successive calls are independent. Assume that 10 calls are places to the airline. X denotes the number of calls that lines are occupied.

h) Let Y denote the number of surface flaws in a large coil of galvanized steel.

Explanation / Answer

e. Here the events are independent, n is constant, p is same for all and only two outcomes.

As all the charateristics of binomial is satifies which means this distribution is Binomial with n=10 and p=0.70. i.e. B(10,0.70)

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