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RATSA is planning to enforce speed limits along Great North road by
using speed cameras at 4 different locations, L1, L2, L3 and L4. The
speed camera at L1 is operated 50% of the time, the speed camera at
L2 is operated 30% of the time, the speed camera at L3 is operated 20%
of the time and the speed camera at L4 is operated 40% of the time.
A person who is speeding from for work has probabilities 0.2, 0.1, 0.5
and 0.2 respectively, of passing through these locations.
(i) What is the probability that the person will receive a speed ticket?
(ii) If the person received the speed ticket, what is the probability
that it was at L3 where he violated speed limit rules?
using speed cameras at 4 different locations, L1, L2, L3 and L4. The
speed camera at L1 is operated 50% of the time, the speed camera at
L2 is operated 30% of the time, the speed camera at L3 is operated 20%
of the time and the speed camera at L4 is operated 40% of the time.
A person who is speeding from for work has probabilities 0.2, 0.1, 0.5
and 0.2 respectively, of passing through these locations.
(i) What is the probability that the person will receive a speed ticket?
(ii) If the person received the speed ticket, what is the probability
that it was at L3 where he violated speed limit rules?
as a 5, which occurs three times as often as a 3,4, or 6. If the die is
tossed once, find the probability that
(a) the number is even;
(b) the number is a perfect square;
(c) the number is greater than 4.
EV(6 marks)
3
They know from previous studies that the standard deviation of this variable is about 5 hours.
(i) A survey of 200 students provides a sample mean of 7.10 hours worked. 95% confidence interval based on this sample is 6.41 to 7.79.
Do you agreed with the researcher that the 95% confident interval of the unknown population mean of the students worked hours lies between 6.41 and 7.79?
Indicate whether the researchers are right or wrong, giving reasons for your answer.
2.1 Find the point estimate of the population mean.
2.2 Determine the lower limit of the 95% conference interval for estimating the unknown population
function given by:
f(x) =2/(x+1)), x>=0
The probability that the battery lasts longer than five hours is:
1 5 2 2 4 1 2 2 4 3
a. Determine the 99% confidence interval for the population mean.
b. Determine the 95% confidence interval for the population mean
A manufacturer makes 10 000 ball point pens per day and estimates that 150 will be defective.She decides that if a random sample of 20 pens contains more than one defective pen, then she will institute quality control measures. Find the probability that there are more than one defective.
#340153 on Dec 2023