This question is incomplete, the complete question is;
Radio frequency identification (RFID) is an electronic scanning technology that can be used to identify items in a number of ways. One advantage of RFID is that it can eliminate the need to manually count inventory, which can help improve inventory management. The technology is not infallible, however, and sometimes errors occur when items are scanned. The probability that a scanning error occurs is 0.0062.
- find the probability that the number of items scanned incorrectly is between 14 and 25, inclusive, from the next 4600 items scanned.
Answer:
the probability that the number of items scanned incorrectly is between 14 and 25, inclusive, from the next 4600 items scanned is 0.2819
Step-by-step explanation:
Given that;
n = 4600
p = 0.0062
now mean of distribution μ = n × p = (4600 × 0.0062) = 28.52
standard deviation σ = √(np(1-p)) = √(4600 × 0.0062(1 - 0.0062 )) = 5.3238
for normal distribution z-score = (X-μ) / σx
therefore from the normal approximation of continuity correction and binomial distribution;
probability = P(13.5 < X < 25.5)
= P( -2.82 < Z < -0.57 )
= 0.2853 - 0.0024
= 0.2819
therefore the probability that the number of items scanned incorrectly is between 14 and 25, inclusive, from the next 4600 items scanned is 0.2819
