1) Banner Mattress and Furniture Company wants to study number of credit applications received per day for the last 300 days. Information is reported:.

Number of Credit Applications    Frequency (Number of Days)
                0                                       50
                1                                       77
                2                                       81
                3                                       48
                4                                       31
                5 or more    13

To understand, there were 50 days on which no credit applications were got, 77 days on which only 1 application was got, and so on. Would it be sensible to conclude that population distribution is Poisson with mean of 2.0? Use the .05 significance level. To determine expected frequencies use Poisson distribution with mean of 2.0.

Determine the probability of exactly one success given Poisson distribution with mean of 2.0. Multiply this probability by 300 to determine expected frequency for number of days in which there was accurately one application. Find out the expected frequency for other days in similar manner.