The length of human pregnancies are normally distributed with mu = 216 days and

Question

The length of human pregnancies are normally distributed with mu = 216 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 0.0658. Provide an interpretation of this area Choose the correct answer below. A. The proportion of human pregnancies that last more than 266 days is 0.4332. B. The proportion of human pregnancies that last more than 290 days is 0.0688. C. The proportion of human pregnancies that last less than 290 days is 0.0668. 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 more than 290 days is 0.0658. B. The probability that a randomly selected human pregnancy lasts less than 290 days is 0.0668. C. The probability that a randomly selected human pregnanc

Explanation / Answer

z=( 290-266)/16= 1.5

p(1.5)=0.9332 from z table

a) option b

b) option c

c) option a

d) z1=(296-266)/16= 1.875 = p(1.875)=0.9693

z2=(230-266)/16=-1.875=p(-1.975)=0.0307

area = 0.9693-0.0307=0.9386

d ) option d

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