If np 25 and nq 2 5, estimate P(fewer than 3) with n= 13 and p = 0.4 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq < 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. O A. P(fewer than 3) = | (Round to four decimal places as needed.) O B. The normal approximation is not suitable.

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### Using Normal Distribution as an Approximation to the Binomial Distribution

**Task:**

If \( np \geq 5 \) and \( nq \geq 5 \), estimate \( P(\text{fewer than 3}) \) with \( n = 13 \) and \( p = 0.4 \) by using the normal distribution as an approximation to the binomial distribution. If \( np < 5 \) or \( nq < 5 \), then state that the normal approximation is not suitable.

**Instructions:**

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

**Options:**

- **A.**  \( P(\text{fewer than 3}) = \) ______
  (Round to four decimal places as needed.)

- **B.**  The normal approximation is not suitable.
Transcribed Image Text:### Using Normal Distribution as an Approximation to the Binomial Distribution **Task:** If \( np \geq 5 \) and \( nq \geq 5 \), estimate \( P(\text{fewer than 3}) \) with \( n = 13 \) and \( p = 0.4 \) by using the normal distribution as an approximation to the binomial distribution. If \( np < 5 \) or \( nq < 5 \), then state that the normal approximation is not suitable. **Instructions:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice. **Options:** - **A.** \( P(\text{fewer than 3}) = \) ______ (Round to four decimal places as needed.) - **B.** The normal approximation is not suitable.
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