Question

A recent study found that 81?% of? breast-cancer cases are detectable by mammogram. Suppose a random sample of 11 women with breast cancer are given mammograms. Find the probability that all of the cases are? detectable, assuming that detection in the cases is independent.

Answer 1

Answer:

9.847 %

Step-by-step explanation:

Be p1 the probability that the mammogram detect breast cancer in a woman.

p1=81%.

The probability 'P' that independent and consecutive 'n' singular events with p probability occur is:

$P=p_{1} ^{n}$

In this case:

P: Probability that breast cancer be detected on 11 women with breast cancer.

$P=0.81^{11}=0.09848$

$P=9.847$ %