1.The sample space listing the eight simple events that are possible when a couple has three children is{bbb, bbg,bgb, bgg,gbb, gbg,ggb, ggg}. After identifying the sample space for a couple having fourchildren, find the probability of getting two girls and twoboys(inanyorder).

Part 1

Identify the sample space for a couple having four children.

(Use a comma to separate answers asneeded.)

Part 2

Find the probability of getting two girls and two boys(inanyorder).

(Type an integer or a decimal. Do notround.)

2. Construct the cumulative frequency distribution for the given data.

Age(years) of Best Actress when award was won	Frequency
20-29	25
30-39	37
40-49	14
50-59	3
60-69	4
70-79	1
80-89	2

...

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Part 1

Age(years) of Best Actress when award was won	Cumulative Frequency
Less than 30	enter your response here
Less than 40	enter your response here
Less than 50	enter your response here
Less than 60	enter your response here
Less than 70	enter your response here
Less than 80	enter your response here
Less than 90

3. Here are summary statistics for randomly selected weights of newborngirls: n=36, x=3197.2 g,s=692.6 g. Use a confidence level of 90% to complete parts(a) through(d) below.

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Part 1

a.

Identify the critical value t/2 used for finding the margin of error.

t/2=enter your response here

(Round to two decimal places asneeded.)

Part 2

b. Find the margin of error.

E=enter your response here

g

(Round to one decimal place asneeded.)

Part 3

c. Find the confidence interval estimate of

.

enter your response here

g<

g

(Round to one decimal place asneeded.)

Part 4

d.

Write

a brief statement that interprets the confidence interval. Choose the correct answer below.

A.

Approximately 90% of sample mean weights of newborn girls will fall between the lower bound and the upper bound.

B.One has 90% confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls.

C.One has 90% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls.

D.There is a 90% chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound.