Stat

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Midterm_SP20.xlsx

Q1

Q1 Put a check mark (X) against the category a data item belongs to:
Categorical Numerical Discrete Numerical Continuous
Various Types of Viruses
Number of Patients affected
The color of the mucus
Frquency of cough
Temperature of patients
Age of patients
Ventilators shipped
Drop in the stock market

Q2

Q2 State Number of masks Available in 1000's
NY 250
NJ 150
WA 200
DE 50
PA 150
CT 75
OH 125
A A. Arrange this data from the highest to lowest numbers.
B. Plot a bar chart. Explain the chart.
C. Someone suggested to plot a histogram for this data.
Should you do it? Justify your answer.

Q3

In a survey of how peole feel about the coronavirus, two groups of people were asked if the lockdown was a good idea.
Young Old Total
Good Idea 50 125 175
Bad Idea 50 75 125
Total 100 200 300
A. What is the probability that the person interview is young person and says it is a good idea.
B. What is the probability of someone saying that it is a bad idea?
C. What is the probability of an old person saying it Is a good idea?
D. Do you think the probability of saying it is a good idea depends on which age group one belongs to?

Q4

It is believed, based on the past such surveys, that the probability of
somepne honring the lockdown rules totally is 0.3.
A random sample of 15 residents was taken.
A. What is the probability of 5 residents in the sample will the lockdown seriously?
B. What is the prob of more than 5 residents will take it seriouly?
C. What is the probability of 1 person planning a party?

Q5

Patients arrive at a health center at the average rate of 1 per minute
a. What is the probability of 1 patient arriving in the next one minute?
b. What is the probability of at the most 2 patients arriving in the next one minute?
C. What is the probability of at least 2 patients arriving in the next one minute?

Q6

An health insurnace company is palnning its cash flow so that all the claim will be paid.
It has determined that the average bill per customer is $1500 with the standard devaition of $500.
a)     What is the probability of a customer submitting a bill less than $1000?
b)     What percetage of customers will have bills above $3000?
c) What is the amount the 95% of the customers' bills are above?