Question

Number of Persons of Degree Status in 10,000s

	High School Diploma or Below	Bachelor’s Degree	Master’s Degree	Ph.D. or Equivalent	Totals
22-29 yrs	32	24	11	6	73
30-39 yrs	56	33	13	11	113
40-49 yrs	54	34	15	12	115
50-59 yrs	49	30	18	10	107
60-69 yrs	44	32	17	8	101
70 and over	53	31	16	4	104
Totals	288	184	90	51	613

1. Probability of selecting a person in the age range 22-29 with a bachelor’s degree out of all degree statuses.
2. Probability of selecting a person with a Master’s Degree out of all degree statuses.
3. Out of all Bachelor degree individuals, the probability of selecting a person under 40 years of age.
4. Out of all degree status individuals, the probability of selecting a person in the age range 50-59 or a person with a Ph.D.
5. Assume that it was found that there was a 4% fatality rate, for persons 60 and over, who contracted COVID-19. What is the probability that out of 500 randomly selected persons, 60 and over, who had contracted COVID-19, 9 died?

1. What is the probability that out of 20 randomly selected persons, 60 and over, who had contracted COVID-19, AT LEAST 1 died?

Joseph took three COVID-19 tests and they were all positive. If each test result was 93% accurate, what is the probability of this happening? Would there be cause to doubt the results of the three tests? Explain.

Answer 1

(a) Probability of selecting age - range of person in the bachelor's with 22-29 all degreco. degree out status : p= number of tenorable outcomes outcomes number total of So here number 1 og Total number total outcomes of persons all degree status in the age range 22-29 an - 73 no of favorable = number outcomes bachelor's degree in the age range of person with 22-29 24 24 72 12 0.3287 3

(b g selecting percon with Probability master's Degree out all of degree status No.ca toral outcomes = Total number of Persons in all age range all degree status = 613 age- range and No. of favorable outcomes Total number og persons having masters degree in all the age range 90 þ 0.1468 S 90 613 op vas unda out of all Bachctor degree endividuals, the probability of selecting a person 40 years of age Total number of outcomes = Total number persons with Bachelor's g Prav degree 184 farosable of number outcomes number of persons with Bachdor's degree and age (40 years

24 +33 57 . 57 0.3097 184 d) Total number outcomes g persons un all degree number Status 613 favorable number of outumes = of person in the age het the event range So-59 be & event of person with Pnd be B we have to find PLAUB) Diss P(AUB) - PiA). + PIB) PCAMB) st number of favorable outcomes for a most du alon persons age range all degree status SO-59 sorguh among 10.7 maca

107 IPCA)= number favorable outcomes for B with Phd degree persons PCB) - 51 613 13 number favorable outcomes for AOB persons in the age range so-59 and with phd degree Lo ace PCAB) 2+2 613 PLAUB) = 107 + 5l - 10 613 613 613 148 6 13 0.2414