Question

Thus far [March 31st] it is known that in New York State 75 795 persons have been infected with COVID-
2019 and that 1550 of them have died from it. Using 19.5 million as the population of NYS, find, based on
Only what is given here, each of the following for one person selected at random, writing each probability to
the nearest 0.00001. (5)
(a) P(a person known to be infected | a NYS resident) = _______
(b) P(a person died from it | a NYS resident) = _______
(c) P(a non-infected NYS person | a NYS resident) = _______
(d) P(a person died from it | an infected NYS resident) = _______
(e) P(a person did not die from it | an infected NYS resident) = _______

Answer 1

Answer:

Given,

No. of infected people in New york = 75795

Died people = 1550

NYS population = 19.5*10^6

= 19500000

a)

P(infected |NYS resident) = No. of infected people in New york / NYS population

substitute values

= 75795 / 19500000

= 0.00389

b)

P(died |NYS resident) = Died people / NYS population

substitute values

= 1550 / 19500000

= 0.00008

c)

P(non infected | NYS) = 1 - P(infected |NYS resident)

substitute values

= 1 - 0.00389

= 0.99611

d)

P(died |infected) = Died people / No. of infected people in New york

substitute values

= 1550 / 75795

= 0.02045

e)

P(did not die |infected) = 1 - P(died |infected)

substitute values

= 1 - 0.02045

= 0.97955