THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 50

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A large department store records the number of returns per day in women's dresses for reasons such as wrong size;husband didn't like it,color,etc.The manager of the women's dresses department recalls from her statistics class in college that the Poisson distribution might describe such events.A random sample of 150 days is taken.The number of returns per day in the sample as well as the observed frequencies is shown in the table below:

She tests the hypothesis that returns per day are Poisson distributed with a population mean equal to 1.90.Her significance level is 0.05
-Calculate the probability associated with each category and the expected frequencies.

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Definitions:

Nasal Cavity

The nasal cavity is a large air-filled space behind the nose, involved in breathing, filtering, warming, and humidifying inhaled air; it also houses olfactory receptors involved in the sense of smell.

Pharynx

The Pharynx is the part of the throat behind the mouth and nasal cavity, leading to the esophagus and larynx, involved in breathing and swallowing.

Respiratory Membrane

The thin barrier in the lungs through which gas exchange occurs between the air in the alveoli and the blood in the capillaries.

Oxygen Therapy

The administration of oxygen to increase the amount of oxygen in the blood, commonly used in medical treatments.