SOLUTION: 5. 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 7 people are

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Question 347206: 5. 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 7 people are given this vaccine, find the probability that
a. at least five will develop immunity



b. exactly four will develop immunity



c. all will develop immunity

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) So 5, 6, or 7 people will receive immunity which means 0, 1, or 2 failed.
P%280%29=1%2A0.8%5E7%2A0.2%5E0=0.2097
P%281%29=7%2A0.8%5E6%2A0.2%5E1=0.3670
P%282%29=21%2A0.8%5E5%2A0.2%5E2=0.2753
highlight%28+P=P%280%29%2BP%281%29%2BP%282%29=0.8520%29
.
.
.
b)4 will develop immunity, 3 will fail.
highlight%28P%283%29=35%2A0.8%5E4%2A0.2%5E3=0.1147%29
.
.
.
c)7 will develop immunity, 0 will fail.
highlight%28P%280%29=1%2A0.8%5E7%2A0.2%5E0=0.2097%29