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Q1. Ten is the average number of oil tankers arriving each day at a certain port. The facilities

at the port can handle atmost 15 tankers per day. What is the probability that a given day

tankers have to turned away?

Ans4. (λ = 10)

Step-1 In the variable view define the variable “X”. In the data view enter the values of “X”

from 0 to 15.

Step-2 To calculate probability distribution under “Transform” menu option choose “compute

variable” option.

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Step-3 Under Compute Variable enter Target variable as “P” and for numeric expression

choose the function group “PDF & Noncentral PDF” and under this group choose

“Pdf.Poisson” (under Functions and Special variables) then in the numeric expression

tab enter the values for PDF.POISSON(?,?) as PDF. POISSON (X,10).

Step-4 Under Compute Variable enter Target variable as “C” and for numeric expression

choose the function group “CDF & Noncentral CDF” and under this group choose

“Cdf.Poisson” (under Functions and Special variables) then in the numeric expression

tab enter the values for CDF. POISSON (?,?) as CDF. POISSON (X,10).

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The data view will be

Step-5 To calculate the probability that a given day tankers have to turned away:

Again go to the Transform menu choose compute variable option.

In the Target Variable write “A” with If condition “X =15”.Write the “1-C” in numeric

expression. Click “Ok”.

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The data view will be

So, the probability that a given day tankers have to turned away = 0.0487