PLEASE HELP ME WITH THESE MC QUESTIONS, WHEN WRITING THE ANSWER DOWN YOU COULD JUST WRITE IT LIKE (1.B, 2.C) PLEASE BE AWARE THAT THE QUESTIONS ARE NOT IN FULL ORDER SOME ARE SKIPPED FOR E.G. (Q1,2,3,8,9,11)

1.What is the first term in each row of Pascal's triangle?

a)1

b)2

c)0

d)equal to the row number

2.What is the second term in each row of Pascal's triangle?

a)0

b)1

c)equal to the row number

d)2

3.In Pascal's triangle, the termt_n,ris equal to the sum oft_n-1,r-1and

a)t_n,r+1

b)t_n,r-1

c)t_n+1,r

d)t_n-1,r

5.The degree of each term in the binomial expansion of (3x+ 2y)⁹is

a)10

b)8

c)9

d)7

6.The coefficients of the first three terms in the expansion of (x-y)⁴are

a)1, 4, 6

b)1, -4, 6

c)1, 3, 5

d)1, -4, -6

7.The coefficients of the first four terms in the expansion of (a+b)⁵are

a)1, 2, 3, 4, 5

b)1, 5, 10, 10

c)1, 3, 5, 7

d)1, 4, 6, 4

8.For the binomial expansion of (x+y)¹⁰, the value ofkin the term 45x^ky⁸is

a)1

b)3

c)2

d)4

9.How many terms are there in the expansion of (p+q)⁶?

a)6

b)8

c)5

d)7

10.What is the value of the constant term in the expansion of(4+1/x)^4?

a)256

b)16

c)64

d)4

13.What field of study can distribution models be applied to?

a)manufacturing

b)telecommunications

c)game theory

d)all of the above

14.Which of the following is a discrete random variable?

a)volume of water in a tank

b)length of a car

c)length of time you play in a baseball game

d)number of candies in a box

25.Which of the following isnota characteristic of a hypergeometric distribution?

a)a specified number of trials

b)trials with success or failure as the two possible outcomes

c)individual outcomes that cannot be repeated within a set of trials

d)independent trials

28.A package contains ten yellow, six green, eight purple, and nine red candies jumbled together. What is the expected number of red candies among five candies poured from the package?

a)8.333

b)1.364

c)0.7273

d)1.875

30.Which of the following has a negatively skewed distribution?

a)failure rates for a model of computer printer during its first four years of use

b)waiting times between customers arriving at a pizza outlet during lunchtime

c)adult shoe sizes

d)the numbers of children in Canadian families

32.Which of the following describes the normal distribution?

a)asymmetrical

b)skewed

c)bimodel

d)unimodal

34.The distribution of thez-scores of a normally distributed variable is a normal distribution with

a)mean 1 and standard deviation 0

b)mean -1 and standard deviation 0

c)mean 0 and standard deviation 1

d)mean 0 and standard deviation -1

Predictions based on a sample taken from a normally distributed population are most reliable when

a)the sample size is large

b)the sample size is small

c)the standard deviation is small

d)the standard deviation is large