# Statistics

Late submissions cannot be accepted.

This is an INDIVIDUAL assignment

Do NOT copy, send/transmit or share files with other students. As noted in the syllabus

and the Academic Integrity Code, you are expected to submit your own original work for

assignments in this course. Failure to do so will result in an academic misconduct

investigation.

NOTES:

(1) Please follow ALL instructions (regarding how to format your paper and submission

instructions) carefully failure to do so may affect your grade.

(2) You are required to put your name ON your document, in the header. It is also

good practice to properly name/save the file with assignment name and your last name

(i.e. Smith_StatsAssignment2). No name on paper = no grade

(3) Your submission must be a single WORD document. Please do NOT send pdf, Minitab

or Excel files instead, copy and paste your graphs (along with any work you are

required to show) into Word.

(4) Do NOT submit handwritten or scanned work. Your work must be typed.

(5) Please do not include the questions in your submission file. Answer each question in

order, as provided/instructed, and ensure all answers (and sub-parts) are clearly labelled.

(6) You can override your submission up until the due date/time. Only the last submission

will be downloaded and graded.

Good Luck!

Please complete all questions in order, clearly labelling all responses you

do not need to include question in your response (we just want your

answers!). However, you should show your work/calculations for possible

part marks.

BUSI 1450 Statistics (Winter 2016) Assignment #3 Questions & Instructions

Question 1 (8 marks)

In Canada, the probability of having twins (usually about 1 in 90 births) raises to about 1

in 11 for women who take the fertility drug Clomid. Among a group of 10 pregnant

women, what is the probability that

a) at least one will have twins if none were taking a fertility drug?

b) no more than two will have twins if all were taking Clomid?

c) At least one will have twins if half were taking Clomid?

Question 2 (10 marks)

At-term newborns in Canada vary in weight according to a normal distribution, with

mean of 3650 grams and a standard deviation of 580 grams.

Heavy birth weight (HBW) babies are those weighing over 4500 grams.

a) Approximately how many at-term newborns among the next 10,000 will be HBW babies?

b) Approximately how many at-term newborns among the next 10,000 will be babies

weighting between 3350 and 4350 grams?

c) What is the probability that the average weight for a sample of 10 babies will be less than

3500 grams?

d) One in ten at-birth babies will weigh more than ________? Fill in the blank.

Question 3 (7 marks)

distributed. Give three reasons (from those discussed in this class) for your answer.

Question 4 (10 marks)

The Canadian Transportation Agency maintains statistics for mishandled bags per 1,000

airline passengers. In January West Coast Airlines mishandled 2.10 bags per 1,000

passengers. What is the probability that with the next 1500 passengers, assuming the

same rate for mishandled bags, West Coast Airlines will have:

a) no mishandled bags

b) less than 2 mishandled bags

c) more than 1 and less than 5 mishandled bags

d) How many misplaced bags are expected for the next 1500 passengers?

Question 5 (5 marks)

A hospital has decided to use scratch and win lottery tickets to raise money for a new

building. The tickets will have three squares, with each square to be scratched to reveal

two Wins $1000, and three Wins $25,000. If the hospital sells 5000 tickets and each

ticket costs $100, how much money does the hospital expect to make? Assume the

probability of scratching any square and getting a wing is 0.05.

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