10 Questins

1).What are probability you are
going to randomly select a marble from a bag of marbles that contains  4 blue
marbles, 4 green marbles, and 6 red marbles?
2).A newly wedded couple purchases a new house for $500,000, makes a down
payment of 20%, and finances the rest with a 30-year fixed mortgage at an
annual interest rate of 5.5% compounded monthly. What is the amount of the
monthly loan payment to amortize the loan?
3). 1000 people were selected in a Grocery Store they were asked what fruit
they like the most. The following table was obtained.
Fruit Age
20 to 49 Age
50 plus Total
Apples 208 88 296
Oranges 150 74 224
Bananas 32 140 172
Strawberries 228 80 308
Total(###) ###-####
Find the probability that a randomly selected person:
(a) most often eat oranges and is age 50+
(b) most often eat oranges given that is age 50+.
(c) most often eat oranges or is age 50+

4). Sixteen student in a class. 9 are women and 7 are men.
(a) In how many ways can 12 student be randomly selected out of the 16 student?
(b) In how many ways can 12 students be chosen, if 8 must be women and 4 must
be men?
(c) If the 12 students randomly selected from the 16 students, what is the
probability that 4 are men and 8 are women?
5). A teacher grades six students homework. The numbers are 15, 25, 12, 17, 15,
18
(a) Find the median
(b) State the mode
(c) Determine the sample mean.
d) Using the sample mean found in part (c), and given that the sample standard
deviation of the data set above is 4.4, what percentage of the data set falls
within one standard deviation of the mean?
.
6).Use augmented matrix methods
-3x + 2y = 13
5x + 2y = 5
7). Animals in a Pet Shops shown in the following table:
Number of Animals 6 8 10 12 14
Probability 0.15 0.20 0.25 0.30 0.10
Find the expected numbers of animals
8). In Cruise Ship 100 people got sick.45 people complained of flu,55 people
complained of sore throat.15 people complained of both flu and sore throat. An
instructor surveyed.
(a) How many of the people either got flu or sore throat (but not both)
(b) Let F = (people that complained of flu) and S = (people that complained of
sore throat). Determine the number of people belonging to each of the regions
1, 2, 3, 4.
F S
1 2 3 4
9). A Company spent $8.5 billion on transportations in 2004 in 2011 the amount
rises to $18.3 billion.
a) Show a linear equation used to predict the annual company spending on
transportations “y” in given year “x”, where x=0 represents the year 2004
b) Use the equations to predict the amount company will spent on
transportations in 2018
c) Interpret the slope of the equation.
10). In Candy Factory there is 0.9 probability that a randomly select $1 candy
is bad .Assume 8 $1 candies are randomly selected. What is the probabilities
that exactly 7 of the $1 candy randomly selected candies will be bad?