Answer:
Probability both are nervous around strangers = 0.0049
Probability at least one is nervous around strangers = 0.1302
Step-by-step explanation:
Let probability a person selected in the population is nervous around strangers = P
                    P = 7%
                    P = [tex]\frac{7}{100}[/tex]
                    P = 0.07
Let probability a person selected in the population is not nervous around strangers = P'
                     P' = 1 - P
                     P' = 1 - 0.07
                     P' = 0.93
(i) probability of the first person selected is nervous around strangers = P
  probability of the second person selected is nervous around strangers = P
  Probability both are nervous around strangers = (P × P)
                     = 0.07 × 0.07
                     = 0.0049
(ii) Probability at least one is nervous around strangers = ( probability the first person is nervous around strangers AND the second person is not nervous around strangers ) OR ( probability the second person is nervous around strangers AND the first person is not nervous around strangers)
This implies,
Probability at least one is nervous around strangers = (P × P') or (P × P')
                    = (0.07 × 0.93) + (0.07 × 0.93)
                    = 0.0651 + 0.0651
                    = 0.1302
