Good day Evenning or morning can someone please give me a ha

Good day, Evenning or morning, can someone please give me a hand with this assignment.

QUESTION 1 - Suppose there are three routes from Byrne Hall to McGaw Hall and five routes from McGaw Hall to Monroe Hall. How many ways is it possible to travel from Byrne Hall to Monroe Hall by way of McGaw Hall?

QUESTION 2

A coin is loaded so that the probability of heads is 0.55 and the probability of tails is 0.45. Suppose the coin is tossed twice and the results of the tosses are independent.

What is the probability of obtaining at least one head?

0.7975

0.3025

0.2475

None of the above

QUESTION 3

The binomial theorem states that for any real numbers a and b, (a + b)n = [sum subscript k equals 0 end subscript superscript n open parentheses table row n row k end table close parentheses space a space to the power of n minus k end exponent space space b to the power of k space f o r space a n y space i n t e g e r space n greater or equal than space 0.]

(2x 1)5 = 32x5 80x4 + 80x3 40x2 + 10x 1

True

False

QUESTION 4

An urn contains four balls numbered 1, 3, 4, and 6. If a person selects a set of two balls at random, the expected value of the product of the numbers on the balls is approximately 11.17.

True

False

QUESTION 5

How many elements are in the one-dimensional array shown below?

A [7], A [8], .......A [[145/2]]

56

76

66

None of the above

QUESTION 6

A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each).

How many different collections of 20 coins can be chosen? DO NOT USE COMMAS IN YOUR ANSWER!

QUESTION 7

In a certain state, license plates each consist of 2 letters followed by 3 digits.

How many different license plates are there that have no repeated letters or digits?

676,000

468,000

768,000

None of the above.

QUESTION 8

Suppose A and B are events in a sample space S, and P(A|B) = 1/2 and P(B) = 1/3. P(A B) = 1/6

True

False

QUESTION 9

In Dr. Ferreira\'s discrete math class, three quizzes were given. Out of the 30 students in the class:

15 scored 12 or above on quiz #1,
12 scored 12 or above on quiz #2,
18 scored 12 or above on quiz #3,
7 scored 12 or above on quizzes #1 and #2,
11 scored 12 or above on quizzes #1 and #3,
8 scored 12 or above on quizzes #2 and #3,
4 scored 12 or above on quizzes #1, #2, and #3.

How many scored 12 or above on quizzes 1 and 2 but not 3?

QUESTION 10

A club has seven members. Three are to be chosen to go as a group to a national meeting.

How many distinct groups of three can be chosen?

Solution

question 1:

1/15

question 2:

0.55*0.45*0.55*0.45*0.55*0.55=0.7925

question 3

true

question 4:

false

question7

26*25*10*9*8=468000