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The mean number of major hurricanes to hit the USA per year is 0.6. Find the probability that
in a given year, more than one major hurricane will strike the USA.
A survey was conducted to measure the number of hours per week adults spend on home
computers. In the survey, the number of hours was normally distributed, with a mean of 8
hours and a standard deviation of 1 hour. A survey participant is randomly selected. Find the
probability that the hours spent on the home computer by the participant are between 5.5 and
9.5 hours per week.
In a random sample of 60 computers, the mean repair cost was $150 with a standard
deviation of $36.
(a) Construct the 99% confidence interval for the population mean repair cost.
(b) If the level of confidence was lowered to 90%, what will be the effect on the confidence
interval?
Add & Simplify
1/1+cos(x)+1/1-cos(x)
An investment manager has all her bonds divided in three portfolios: P1, P2 and P3. The rst
portfolio (P1) collects the 20 percent of the bonds, the second (P2) 50 percent, and the third one (P3)
the remaining 30 percent. However, 5 percent of the bonds in the rst portfolio are defaulted, 2 percent
in the second are defaulted and, nally, the percentage of defaulted bonds in the third portfolio is 10
percent. If you buy one bond from the above manager, and it turns out to be defaulted, what is the
probability that it belongs to the rst portfolio P1? And what is the probability that belongs to any
of the other two portfolios (P2 and P3)?
three consecutive vertices of a parallelogram (1,-3),(-3,-1), (3,5). FIND THE 4TH VERTEX?
Determine in two ways whether or not the points A (-1,-1), B(4,1) and C(12, 4) lie on a straight line. Is AB + BC = AC? Is area ABC zero ?
Find the points which trisect the segment joining the points (-3,5) and (9,2).
if a team of people is asked to construct two paper aeroplanes one from A4 sheet and the other from A5 sheet and test their flights performance. in this context the flight performance means the distance the planes fly when thrown normally measured from the point of release till the point plane first touches the ground.
Your excersise is to test four hypothesis by recording the distance flown over 30 trials for each plane.
part 1 large plane only
Flight data for previous batches of ur institute have been recorded overt he years the mean of the flight distance for A4 plane is 18 feet.
1. which test would we use to test the hypothesis stated in section 2 below? also state the statistical assumptions under which your test is valid
2. TEst the following pair of hypothesis at a level of significance at 2%.
Ho: Mean=18 feet where mean is the population mean of flights undertaken by the plane built by you.
H1: meanis not equal 18 feet
3. compute the p value of ur test statistical.
its urgent please answer this
Your favorite team is in the final playoffs. You have assigned a probability of 60% that they will win the championship. Past records indicate that when teams win the championship, they win the first game of the series 70% of the time. When they lose the series, they win the first game 25% of the time. The first game is over; your team has lost. What is the probability that they will win the series?








