Statistics – Cheap Research Essays

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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.