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A binomial probability is given. Write the probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
\[
P(x< 60)
\]

Write the probability in words.
The probability of getting fewer than 60 successes.
Which of the following is the normal probability statement that corresponds to the binomial probability statement?
A. $P(59.5< x< 60.5)$
B. $P(x> 59.5)$
C. $P(x< 59.5)$
D. $P(x> 60.5)$
E. $P(x< 60.5)$

Step 1 ：The probability in words is: The probability of getting fewer than 60 successes.

Step 2 ：The question is asking to convert the binomial probability to a normal distribution probability using a continuity correction. The continuity correction is used when we approximate a discrete distribution, like the binomial, with a continuous distribution, like the normal.

Step 3 ：When we use the normal distribution to approximate the binomial distribution, we have to adjust the discrete x values to fit the continuous distribution. This is done by adding or subtracting 0.5 to the x value, depending on the direction of the inequality.

Step 4 ：In this case, the binomial probability is \(P(x<60)\). To convert this to a normal distribution probability, we need to subtract 0.5 from 60 because the inequality is less than. So, the corresponding normal probability statement is \(P(x<59.5)\).

Step 5 ：So, the final answer is: The normal probability statement that corresponds to the binomial probability statement \(P(x<60)\) is \(\boxed{C. P(x<59.5)}\).