Download mdm 4u -- practice questions for home study

MDM 4U -- KEY QUESTIONS FOR HOME STUDY
Chapter 3
1. Find the interquartile range of the following Scrabble scores: 120, 150, 201, 185, 201, 162, 210
2. State the standard deviation of the numbers of taxi passengers to the nearest decimal place.
1
2
3
4
Number of Passengers
24
14
10
2
Frequency
3. If X~N(12.4,
Use your calculator stats features.
) and 95% of the data lie in the interval 11.8–13.0, determine the standard deviation.
4. Diameters of ball bearings produced in a certain plant have a mean of 24.50 mm and a standard deviation of 0.15
mm. In what interval will the diameters of acceptable ball bearings fall if the manufacturer rejects the smallest 2.5% and
largest 0.15%? (Assume a normal distribution)
5. The heights of men, in centimetres, are normally distributed with a mean of 175 and a standard deviation of 20. If
Mario is 180 cm tall, what percent of men is he taller than?
6. A university accepts only applicants scoring in the top 16% on an entrance test. Each year the test scores are
normally distributed with a standard deviation of 30. What is the highest value that the mean can have for Fred to be
accepted with a score of 520?
Chapter 4
7. Two friends play a game. They roll a die. If the roll is 1 or 2, the first friend gives the second friend $3.00. If the roll
is a 6, the second friend gives the first friend $5.00. Fine the expected amount of money the first friend receives if the die
is rolled 12 times.
8. Determine the number of ways the 8 members of the Junior Jazz Band can stand in a line if Val must be first, Tim
sixth, and Tricia last.
9. The letters of the word CHEMISTRY are put in a hat and three letters are drawn, one at a time, without replacement.
Determine the probability that the C and R are chosen.
10. From a group of seven junior and ten senior students, determine how many committees of six students can be chosen
if at least one student is a senior student.
Chapter 5
11. Determine the probability of 5 “3s” being rolled on 20 successive rolls of a six-sided die.
12. Determine the probability of at least 3 “3s” being rolled on 20 successive rolls of a six-sided die.
13. Using the Normal Approximation, estimate the probability of at least 20 “3s” being rolled on 100 successive rolls of
a six-sided die.
14. Ten cards are drawn from a deck, without replacement. Determine the probability that exactly 4 of the cards are
spades.
15. Explain why the previous question is an example of Hypergeometric Distribution rather than Binomial Distribution.