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katherinabe
Week3HomeworkAssignment3.xlsx

1

If subjects are randomly selected, find the probability of the
following probability statements:
P(man) = P(women | republican) = P(picking a male democrat)=
P(women)= P(Republican | women) = P(picking two democrats) =
P(Democrat)= P(Man | Democrat) = P(picking two women)=
P(picking a women republican) =

A survey is made in a neighborhood of 100 voters. 50 are Democrats and 50 are Republicans. Of the Democrats, 30 are women, while 26 of the Republicans are women.

2

Container 1 has 8 items, 3 of which are defective. Container 2 has 6 items, 2 of which are defective. If one item is drawn from each container, what is the probability that only one of the items is defective?

3

A letter is drawn from the alphabet of 26 letters. What is the probability that the letter drawn is a consonant? Do not consider y as a vowel.

4

A family has two children. What is the probability that both are girls, given that at least one is a boy? Make sure you use a text box to explain your answer.

5

QUANTITY PURCHASED PER PERSON IN ONE MONTH
# of six packs purchased # people who purchased this amount
0 7
1 6
2 6
3 12
4 14
5 12
6 10
7 8
8 5
9 5
10 3

1. Create a probability distribution using the data which shows how many cartons of the wine cooler were bought per customer in a month. 2. Calculate the mean and the standard deviation of your probability distribution. 3. Calcualte the probability that exactly 3 six packs will be bought in a month 4. Calcualte the probability that between 4 and 8 six packs will be bought in a month 5. Calcualte the probability that at least 5 six packs will be bought in a month 6. Calcualte the probability that no more than 5 six packs will be bought in a month

6

A police officer recorded 10 accidents for a given week.
During the week, he noticed that 3 were fatalities.
What is the following probabilities
P ( X = o ) P( X ≥ 7) P ( X is more than 4)
P ( X = 3 ) P ( X ≤ 2) P ( X is no more than 8)
P( X < 4) P ( X is at least 5)
P ( X > 5) P ( X is less than 4)

Sheet2

Given the population mean m = 50 with a standard deviation of s = 6. Calculate the following:
a. P ( X £ 35 ) 40 c. P ( 38 £ X £ 60 )
b. P ( X ³ 44 ) c. P ( X > 60 )