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A sample of eleven plants gave the following shoot lengths.A simple random sample of 14 people from a certain population gives body mass indices as shown in the table.can we conclude that the BMI is not 35?let significance level be 0.05




The amounts of time it takes for a student to complete a statistics quiz uniformly distributed between 30 and 60 minutes. One student is selected at random. Find the probability of the following events.

a) the student requires more than 55 minutes to complete quiz

b) the student completes the quiz in a time between 30 and 40 minutes

c) the student completes the quiz in exactly 37.23 minutes


List the quadruples in the relation { a,b,c,d} where a, b, c, d are integers with

0 < a < b < c < d < 8.


The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 30 and 60 minutes. One student is selected at random. Find the probability following events


Determine whether the following relation is reflexive, symmetric, antisymmetric and/or transitive.

(x, y) ∈ R if x ≥ y, where R is the set of positive integers.


A survey of 119 persons was conducted at TTC, and it was found that 89 persons carried a cell phone, 10 person carried a tablet computer, and 8 carried both cellphone and tablet.




  1. how many people carried a cellphone or a tablet?
  2. how many people carry neither a cell phone nor a tablet? 
  3. how many people carried a cell phone only?
  4. how many people carried a tablet but not a cell phone?

Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold? Be sure to define your variables first.

For the following experiments, compute the 95% confidence intervals and determine whether the data comes from the stated population:


(a) X= (3, 2.3, 4.5, 1.2, 5.6, 2.3, 4.5). =3.


(b) i = 4.2, ở = 1.2, n= 100, u= 3.


(c) ji = 0.2, ở = 5, n= 10, u= 3.


(d) å = 1.5, n=10, a=5.

Let (a ) be any sequence.Show that




lim[ n/1+n2+ n/4+n2+n/9+n2+.....+n/2n2

Exercise 6.1


Plot the following points:

1.P1 (-3, 135°)

P2 (2, -3.14/3)

P3 (4, 405°)

   Then graph

2.Sketch the graph of r = 3 − 2cosθ.




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