1.Determine the area under the standard normal curve that lies between

(a)Z=0.86 and Z=0.86,

(b) Z=0.97 and Z=0,

(c) Z=1.61 and Z=2.29.

(a) The area that lies between

Z=0.86 and Z=0.86 is ______

(Round to four decimal places as needed.)

(b) The area that lies between

Z=0.97 and Z=0 is_____

(Round to four decimal places as needed.)

(c) The area that lies betweenZ=1.61 and Z=2.29 is _____

(Round to four decimal places as needed.)

2.Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 12-pack. Suppose that two cans are randomly selected from the 12-pack.

Complete parts (a) through (c).

(a) Determine the probability that both contain diet soda.

P(both diet)=_____

(Round to four decimal places as needed.)

(b) Determine the probability that both contain regular soda. P(both regular)=______

(Round to four decimal places as needed.)

Would this be unusual?

No

Yes

(c) Determine the probability that exactly one is diet and exactly one is regular.

P(one diet and one

regular)=______

(Round to four decimal places as needed.)