what is the probability that: a. No one will contract the COVID-19? b. All will contract the COVID-19? c. Exactly two will get the COVID-19?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Q.1 Suppose it is known that 90% of the people exposed to the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) will contract the COVID-19. Out of a family of five exposed to the virus, what is the
a. No one will contract the COVID-19?
b. All will contract the COVID-19?
c. Exactly two will get the COVID-19?
d. At least two will get the COVID-19?
e. Find the mean of this distribution.
f. Find the variance of this distribution.
Q.2 A graduating student keeps applying for jobs until she has three offers. The probability of getting an offer at any trial is 0.48.
a. What is the expected number of applications? What is the variance?
b. If she has enough time to complete only six applications, how confident can she be of getting three offers within the available time?
c. If she has want to be at least 95% how confident of getting three offers, how many application should she prepare?
d. Suppose she has time for at most six applications. For what minimum value of p can she still have 95% confident of getting three offers within the available time?
Q.3 Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerator is running. Suppose that 7 of these refrigerators have a defective compressor and the other 5 have less serious problems. The technition looks at 6 refrigerators, what is the probability that exactly 5 have a defective compressor?
Learning Outcomes
Q.4 A small voting district has 101 female voters and 95 male voters. A random sample of 10 voters is drawn.
1. What is the probability exactly 7 of the voters will be female?
2. What is the probability that at most 7 of the voters will be female?
3. What is is the probability that at least 7 of the voters will be female?
Presentation Outline
Learning Outcomes
Introduction
Bernoulli Distribution Binomial Distribution
Geometric
Distribution
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