Question

Based on a​ poll, among adults who regret getting​ tattoos,

14%

say that they were too young when they got their tattoos. Assume that

six

adults who regret getting tattoos are randomly​ selected, and find the indicated probability. Complete parts​ (a) through​ (d) below.

C. Find the probability that the number of selected adults saying they were too young is 0 or 1

Answer 1

Solution

Here, n = 6, p = 0.14, (1 - p) = 0.86 and x = 0
As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 0)
P(X = 0) = 6C0 * 0.14^0 * 0.86^6
P(X = 0) = 0.4046

Here, n = 6, p = 0.14, (1 - p) = 0.86 and x = 1
As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 1)
P(X = 1) = 6C1 * 0.14^1 * 0.86^5
P(X = 1) = 0.3952
0

P(x = 0 or 1) = 0.4046 + 0.3952
= 0.7998