Question

1.

1. Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly nine boys in ten births. Round the answer to the nearest thousandth.

   	A.	D.  0.176
   	B.	B.  0.0918
   	C.	A.  0.800
   	D.	C.  0.080

2. Find the area of the indicated region under the standard normal curve.

   	A.	A.  0.3438
   	B.	C.  1.3090
   	C.	B.  0.6562
   	D.	D.  0.3090

3. The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below. Find the interquartile range for the cholesterol level of the 30 adults.

   154	156	165	165	170	171	172	180	184	185
   189	189	190	192	195	198	198	200	200	200
   205	205	211	215	220	220	225	238	255	265

   	A.	A.  211
   	B.	C.    30
   	C.	C.    31
   	D.	B.  180

4. Given that P(A or B) = 1/5 , P(A) = 1/8, and P(A and B) = 1/9, find P(B).

   	A.	77/360 B.
   	B.	67/360 C.
   	C.	11/180 D.
   	D.	A.   167/360

Answer 1

1: Success probability of boy p = 0.5

0.009

2: 0.6562

3: Interquartile Range = Third quartile - First Quartile

From data:

First Quartile = 180 and Third quartile = 211

Interquartile Range = 211 - 180

Interquartile Range = 31

4: Use this formula:

P(A or B) = P(A)+P(B) - P(A and B)

P(B) = P(A or B) + P(A and B) - P(A)

P(B) =1/5 + 1/9 - 1/8

P(B) = 67/360