1.Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately,40 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) The probability that the first randomly selected chip is defective is 40/10,000=0.004=0.4%. Compute the probability that two randomly selected chips are defective under the assumption of independent events.
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.
|
|
Age
|
|
|||||||
|---|---|---|---|---|---|---|---|---|---|
|
|
<18
|
18-44
|
45-64
|
>64
|
Total
|
||||
|
Private health insurance
|
48,347
|
|
70,971
|
|
53,225
|
|
21,980
|
|
194,523
|
|
Government health insurance
|
23,129
|
|
10,448
|
|
13,686
|
|
34,369
|
|
81,632
|
|
No health insurance
|
6,286
|
|
29,045
|
|
14,778
|
|
672
|
|
50,781
|
|
Total
|
77,762
|
|
110,464
|
|
81,689
|
|
57,021
|
|
326,936
|
3.The data on the right represent the number of traffic fatalities by seat location and gender. Determine P(male)and P(male|driver).Are the events "male" and "driver" independent?
|
Male
|
Total
|
|
||
|
Driver
|
32,886
|
11,887
|
44,773
|
|
|
Passenger
|
6,491
|
6,485
|
12,976
|
|
|
Total
|
39,377
|
18,372
|
57,749
|
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