The lengths of human pregnancies are normally distributed with mu = 266 days and

Question

The lengths of human pregnancies are normally distributed with mu = 266 days and sigma = 16 days. Complete parts (a) and (b) below. (a) The following figure represents the normal curve with mu = 266 days and sigma = 16 days. The area to the right of X = 290 is 0.0668. Provide an interpretation of this area Choose the correct answer below. A. The proportion of human pregnancies that last more than 290 days is 0.0668 B. The proportion of human pregnancies that last less than 290 days is 0.0668. C. The proportion of human pregnancies that last more than 266 days is 0.4332. D. The proportion of human pregnancies that last more than 290 days is 0.9332. Provide a second interpretation of the area Choose the correct answer below A. The probability that a randomly selected human pregnancy lasts less than 290 days is 0.0668. B. The probability that a randomly selected human pregnancy lasts more than 290 days is 0.4332. C. The probability that a randomly selected human pregnanc

Explanation / Answer

The area under the curve is probability/proportion, Therefore, The following interpretations are,

(a) Answer : (A) The proportion of hyman pregnancies that last more than 290 days is : 0.0668.

Its straight forward that its area under the shaded region is 0.0668.i.e its proportion.

(b) Answer : (D)The probability that a randomly selected human pregnancy lasts more than 290 days is 0.0668.

This area under the given shaded region is probability,

(c) Answer : (B) The proportion of human pregnancies that lasts between 235 and 280 days is 0.7829.

(d) Answer : (C) The probability that a randomly selected human pregnancy between 235 and 280 days is 0.7829.

This area under the given shaded region is probability,

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.