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p(E’)=0.86
A fair spinner has 9 equal sections: 3 red, 2 blue and 4 green.
It is spun twice.
What is the probability of getting blue both times?
A pizza parlour will deliver a pizza take-away order to the customer if s/he lives within a 5 kilometre radius from the pizza parlour. If the customer lives within this radius, it is found that the time taken to receive the pizza is normally distributed with a mean time of 45 minutes and a standard deviation of 8 minutes.
If the time to receiving the pizza exceeds a particular time period, the customer gets the pizza free of charge. What should the approximate time limit (to the nearest minute) until delivery for the pizza be if the pizza parlour wants no more than 10% of the customers to get a free pizza?
The Gauteng traffic department records show that 25% of all drivers wear seatbelts. In a random sample of 400 cars stopped at a roadblock in Gauteng, 152 of the drivers were wearing seatbelts. What is the probability that at most 18% of the drivers in Gauteng wear seatbelts?
Suppose you wanted to determine the perception of students in the University of Santo Tomas regarding the visit of Pope Francis in the Philippines last January 15-19, 2015. If UST has a population of 9, 250
students, using random sampling method, how many samples will be taken from this university using the formula set at .05 degree of error?
In order to join a voice lesson class, you pay a P1,500.00 pesos fee, then P500.00 for
each class you go to. What is the average cost per class? Graph the function to show
whether it forms a straight line or a curve.
medical care. Satisfaction was measured on a scale of 0 to 100, with higher scores indicative of
more satisfaction. The mean satisfaction score in 2002 was 84.5. Several quality-improvement
initiatives were implemented in 2003 and the medical center is wondering whether the
initiatives increased patient satisfaction. A random sample of 125 patients seeking medical care
in 2003 was surveyed using the same satisfaction measure. Their mean satisfaction score was
89.2 with a standard deviation of 17.4. Is there evidence of a significant improvement in
satisfaction? Run the appropriate test at the 1% level of significance.
in 2001 was 7.1 days. A researcher feels that the mean hospital stay in 2002 should be less due
to initiatives aimed at reducing health care costs. A random sample of 40 patients undergoing
the same surgical procedure in 2002 had a mean length of stay of 6.85 days with a standard
deviation of 7.01 days. Run the appropriate statistical test at
actually contain the advertised 6 ounces of protein in each package. Based on the following
data, is there any evidence that the meals do not contain the advertised amount of protein? Run
the appropriate test at a 5% level of significance. 5.1 4.9 6.0 5.1 5.7 5.5 4.9 6.1 6.0 5.8
5.2 4.8 4.7 4.2 4.9 5.5 5.6 5.8 6.0 6.1
