Patients can be treated for hyperthyroidism (overactive thyroid) with radioactiv
ID: 2928110 • Letter: P
Question
Patients can be treated for hyperthyroidism (overactive thyroid) with radioactive iodine. Although doctors try to carefully determine the correct dosage, about 90% of all patients receiving radioactive iodine treatment end up with hypothyroidism (under-active thyroid) because too much of the thyroid gland is destroyed. If 12 patients with hyperthyroidism are treated using radioactive iodine, what is the probability that all of them will have hypothyroidism after treatment?
the answre is 0.2824, I want to know how to get the answer
The probability that a US domestic flight arrives on time is 80%. Five US domestic flights are randomly chosen.
What is the probability that at least three of the flights arrive on time?
Is 0 flights arriving on time unusual?
Is 5 flights arriving on time unusual?
Explanation / Answer
1) P = 0.9
N = 12
P(X = 12) = 0.912 = 0.2824
2) p = 0.8
n = 5
P(X = x) = 5Cx * 0.8x * (1-0.8)5-x
A) P(X > 3) = P(X =3) + P(X = 4) + P(X = 5)
= 5C3 * 0.83 * 0.22 + 5C4 * 0.84 * 0.21 + 5C5 * 0.85 * 0.20
= 0.9421
B) P(X = 0) = 5C0 * 0.80 * 0.25 = 0.0003
Since the probability is less than 0.05, 0 fliggts arriving on time is unusual.
C) P(X = 5) = 5C5 * 0.85 * 0.20 = 0.3277
Since the probability is not less than 0.05, 5 flights arriving on time is not unusual.