1) When the Normal distribution (a continuous distribution) is used to find appr

Question

1) When the Normal distribution (a continuous distribution) is used to find approximate answers to problems arising from the Binomial distribution an adjustment is made for the mismatch of types of distribution. This is called the continuity correction.

For the given probability choose the right option to show how this probability must be adjusted before the Normal distribution can be used to calculate it.

P(X = 5)

2) When the Normal distribution (a continuous distribution) is used to find approximate answers to problems arising from the Binomial distribution an adjustment is made for the mismatch of types of distribution. This is called the continuity correction.

For the given probability choose the right option to show how this probability must be adjusted before the Normal distribution can be used to calculate it.

P(X 1)

3) When the Normal distribution (a continuous distribution) is used to find approximate answers to problems arising from the Binomial distribution an adjustment is made for the mismatch of types of distribution. This is called the continuity correction.

For the given probability choose the right option to show how this probability must be adjusted before the Normal distribution can be used to calculate it.

P(7 X > 4)

4) When the Normal distribution a continuous distribution is used to find approximate answers to problems arising from the Binomial distribution an adjustment is made for the mismatch of types of distribution. This is called the continuity correction.

For the given probability choose the right option to show how this probability must be adjusted before the Normal distribution can be used to calculate it.

P (2 X < 9)

Explanation / Answer

1) P(x=5)

P(X=n) use P(n – 0.5 < X < n + 0.5)

P(X=5) = P(5 – 0.5 < X < 5 + 0.5)= P(4.5 < X < 5.5)

2) P(X 1)

P(X n) use P(X > n – 0.5)

P(X 1) =P(X>0.5)

3) P(7 X > 4)

P(4+0.5 < X 7+0.5) =P(4.5 < X 7.5)

4) P (2 X < 9)

=(2-0.5 X <9-0.5) =P(1.5X<8.5)

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