Answer:
P(X =25) = 0.0687
Probability of having fewer error than 25 = 0.2511
Probability between 20 and 25 = 0.2776
Explanation:
Given Data:
probability of success =0.07
number of vouchers 400
1) probability of exactly 25 are in error [tex]P(X =25) =^{400}C_ {25} \times 0.07^{25} \times 0.93^375[/tex]
= 0.0687
B) Probability of having fewer error than 25
P(X<25) = 0.2511
C) Probability between 20 and 25
= p(x<25) - p(x<19)
= 0.3198 - 0.0422 = 0.2776
