Question

Consider the probability that no less than 37 out of 295 cell phone calls will be disconnected.

Choose the best description of the area under the normal curve that would be used to approximate binomial probability.

Answer

2 Points

Keypad

Tables

Area to the right of 36.5
Area to the right of 37.5
Area to the left of 36.5
Area to the left of 37.5
Area between 36.5 and 37.5

Answer 1

ANSWER::

When we say no less than 37, we mean 37 or more or at least 37.

Therefore the probability we need to find is P(X 37)

When using the normal approximation to the Binomial, If P(X n), then using the continuity correction factor, we find the probability P(X > n - 0.5)

Therefore for P(X 37) we find P(X > 37 - 0.5) = P(X > 36.5)

Therefore Option 1: Area to the right of 36.5

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Continuity Correction Factor Table (For Reference)

1) If P(X = n)       Use P(n – 0.5 < X < n+0.5)

2) If P(X > n)       Use P(X > n + 0.5)

3) If P(X <= n)    Use P(X < n + 0.5)

4) If P(X < n)       Use P(X < n - 0.5)

5) If P(X => n)    Use P(X > n - 0.5)

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