Question

​​​​​​​please show all work

The viral load of COVID-19 in a sample of blood follows a normal distribution. The average number of viral particles is 500, with a standard deviation of 30. What is the probability somebody has more than 425 viral particles? O 1.-2.5 2.0.53188 O 3.0.0833 4.0.46812 5.0.00621 6.0.9938 7 None of these O 8.-0.0833

Answer 1

Let X denotes the number of viral particles in a randomly selected person.

Here,

X ~ Normal(500, 302)

X - 500 P(X > 425) = 1 - P(X< 425) = 1-PC 30 425 – 500 30 = P(X > 425) = 1 - P(Z < 425 – 500 30 = P(X > 425) = 1- P(Z < -2.50) → P(X > 425) = 1 – 0.006210 - 0.993790 = 0.9938