The centers for disease control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is $0.8$. If $8$ people are given this vaccine, then the probability that exactly $4$ will develop immunity is...

  • A
    $70 \times (0.8)^4 \times (0.2)^4$
  • B
    $(0.112)(0.8)^4$
  • C
    $(0.112)(0.8)^6$
  • D
    $(0.2)^4(0.8)^4$

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