Search
f(x)=cosπx for (0<x<1)
- The number of wooden sailboats constructed per month in a small shipyard is a random variable that obeys the probability distribution given in the table below.
Suppose that the sailboats builders have fixed monthly costs of 30.000€ and an additional construction cost of 4.800€ per boat.
Number of sailboats xi
Probability pi
2
0.15
3
0.20
4
0.30
5
0.25
6
0.05
7
0.05
- Compute the mean and standard deviation of the number of boats constructed each month.
- What is the mean and standard deviation of the monthly cost of the sailboat construction operation?
- How do your answer in part (b) change if the fixed monthly cost increases from 30.000€ to 53.000€? Try to compute your answer using the result of the calculation in part (b) only.
1/(3x5)+√3/(5x8)+ √5/(7x11) +... test the convergence
1. A highschool teacher at s small private school assigns trigonometry practice problems to be worked via the net. Students must use a password to access the issues and the time of log in and log off is automatically recorded for the teacher. At the end of the week the teacher examines the amount of time each student spent working on the assigned problems. The data provided below in minutes.
15,28,25,48,22,43,49,34,22,33,27,25,
22,20,39. Find the measure of central tendency.
2. Jonny has been playing golf on the weekends for the past three years. Recently, she started keeping track of her recorded scores. Her scores for June and July at her favorite 9-hole (party 36) golf course are provided below.
45,49,42,56,41,36,34,38,41,40,42,41,
39,38,40,39,36,41. Find the measure of central tendency.
The PDE 2∂
2
z
∂x
2
+2∂
2
z
∂y
2
+4∂
2
z
∂x∂y
=2x
2∂2z∂x2+2∂2z∂y2+4∂2z∂x∂y=2x,
is
Consider the recurrence relation an= 3 an1 + 3 an-2 when ao = 1 and a1= 2 then a3= ..: O 56
1. Observations from the first 25 days of the year showed that the following number of pedestrians used a particular crosswalk on each day:
19 132 25 78 62 101 84 32 99 71 43 56 64 81 59 67 43 97 105 91 31 66 76 87 125
(8 marks)
a. Construct a frequency distribution for this data using a lower limit for the first class of 15 and a class width of 20. Indicate the class limits, boundaries, midpoints, frequencies and cumulative frequencies.
3,6,9,10 find the mean
Give an example showing that the union of two subspace of a vector space V over a filed F is not necessarily a subspace of V over F.
The weight of a dart in a tournament is normally distributed with the mean of 17 grams and a standard deviation of 0.3 grams .find a probability that a dart chosen random has its weight between 16.55 and 17.45grams
