If \( n p \geq 5 \) and \( n q \geq 5 \), estimate \( P \) (more than 5 ) with \( n=14 \) and \( p=0.3 \) by using the normal distribution as an approximation to the binomial distribution; if \( n p<5 \) or \( n q<5 \), then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( P \) (more than 5 ) \( =\square \) (Round to four decimal places as needed.) B. The normal distribution cannot be used.

We first check if the conditions for using the normal approximation to the binomial distribution are met. The conditions are: - \( np \geq 5 \) - \( nq \geq 5 \) where \( q = 1-p \). Given: - \( n = 14 \), - \( p = 0.3 \) so that \( q = 0.7 \). Step 1. Compute \( np \): \[ np = 14 \times 0.3 = 4.2 \] Since \( 4.2 < 5 \), the condition \( np \geq 5 \) is not satisfied. Step 2. Although we can compute \( nq \): \[ nq = 14 \times 0.7 = 9.8 \] this condition is met; however, both conditions must be satisfied to use the normal approximation. Conclusion: Because \( np < 5 \), the normal approximation is not suitable. Answer: B. The normal distribution cannot be used.