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(d) Note that an unusual event is an event that has a low probability of occurring. Typically, an event with a probability less than 0.05 (or 5%) is considered unusual. First, find P(X < 204). In order to calculate P(X < 204), start by drawing a normal curve with the desired area shaded. Similar to part (c), the desired area is to the left of 204. The figure to the right shows the normal curve with the area to the left of 204 shaded. Now, convert x = 204 to a z-score. z = (x - μ) / σ = (204 - 258) / 24 = -2.25 Next, draw a standard normal curve and shade the desired area. This graph is shown to the right, with the area to the left of z = -2.25 shaded. The area to the left of z = -2.25 is equal to the area to the left of x = 204. Find the area under the standard normal curve. While either technology or a standard normal distribution table can be used to find the area, for the purposes of this explanation, use a standard normal distribution table. Find P(Z < -2.25). P(Z < -2.25) = 0.0122 Thus, the probability of a gestation period less than 204 days is 0.0122. To determine if this event is considered unusual, recall that an event with a probability less than 0.05 is considered unusual. Based on the question The probability of this event is enter your response here, so it be unusual because the probability is than 0.05. (Round to four decimal places as needed.)

          (d) Note that an unusual event is an event that has a low probability of occurring. Typically, an event with a probability less than 0.05 (or 5%) is considered unusual.

First, find P(X < 204). In order to calculate P(X < 204), start by drawing a normal curve with the desired area shaded. Similar to part (c), the desired area is to the left of 204. The figure to the right shows the normal curve with the area to the left of 204 shaded. Now, convert x = 204 to a z-score.

z = (x - μ) / σ = (204 - 258) / 24 = -2.25

Next, draw a standard normal curve and shade the desired area. This graph is shown to the right, with the area to the left of z = -2.25 shaded. The area to the left of z = -2.25 is equal to the area to the left of x = 204.

Find the area under the standard normal curve. While either technology or a standard normal distribution table can be used to find the area, for the purposes of this explanation, use a standard normal distribution table. Find P(Z < -2.25).

P(Z < -2.25) = 0.0122

Thus, the probability of a gestation period less than 204 days is 0.0122. To determine if this event is considered unusual, recall that an event with a probability less than 0.05 is considered unusual. Based on the question The probability of this event is enter your response here, so it be unusual because the probability is than 0.05.

(Round to four decimal places as needed.)

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