Question 894310
i believe you are correct.
p = .77 = probability that a nurse wears a uniform.
q = 1 - .77 = .23 = probability that a nurse doesn't wear a uniform.
p(at least 1 wears a uniform) is equal to 1 - p(none of them wears a uniform).
the formula for p(x >= 1) is 1 - p(x = 0) = 1 - C(4,0) * .77^0 * .23^(4-0)
this becomes 1 - 1 * 1 * .23^4 which becomes:
1 - .23^4 which becomes:
1 - .00279841 which becomes:
.99720159 which becomes:
99.7% if you are rounding to the nearest tenth of a percent.


your solution looks good.
you did all the right steps.
i get the same answer as you.