In October 2024
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Find the mean of the set 7 10 14 17 20 of data and construct a sampling distribution by selecting 3 samples at a time
The officers of Barangay Luz decided to conduct a lottery for the benefit of the less privileged students of their alma mater. Two hundred tickets will be sold. One ticket will win PHP10,000.00 price and the other tickets will win nothing. If you will buy one ticket, what will be your expected gain?
What is the probability that the shelf life of the
battery is between 500 and 550 days?
1. Find the range, the standard deviation, and the variance for the given samples. Round noninteger results to the nearest tenth.
a. 1, 2, 5, 7, 8, 19, 22
b. 3, 4, 7, 11, 12, 12, 15, 16
c. 2.1, 3.0, 1.9, 1.5, 4.8
d. 5.2, 11.7, 19.1, 3.7, 8.2, 16.3
e. 48, 91, 87, 93, 59, 68, 92, 100, 81
One out of every three Americans believes that the U.S government should take “primary responsibility” for eliminating poverty in the United States. If 30 Americans are selected, find the probability that…
a) Exactly eight (8) will believe that the U.S government should take “primary responsibility” for eliminating poverty.
b) At least eight (8) will believe that the U.S government should take “primary responsibility” for eliminating poverty.
c) Use Normal Distribution for part b).
Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL
According to a National Health Survey, American men’s heights are normally distributed with a mean given by 𝜇 = 69.7 inches and a standard deviation given by 𝜎 = 2.8 inches.
a). If a man is randomly selected, find the probability that his height is more 72 inches.
b). If a man is randomly selected, find the probability that his height is between 68 and 72 inches.
Three hundred viewers were asked if they were satisfied with TV coverage of a recent disaster. CHART BELOW.
Female (F) | Male (M) | TOTAL
Satisfied (S) | 80 | 55 | BLANK
Not Satisfied (N) |. 125 | 45 | BLANK
TOTAL. | BLANK| BLANK | BLANK
If a viewer is to be randomly selected from those surveyed.
a) Find the probability that the viewer is satisfied.
b) Find the probability that the viewer is a female or the viewer is not satisfied.
c) Find the probability that the viewer is satisfied given that the viewer is male.
Suppose that 9 good fuses and 4 defective ones have been mixed up. To find the defective fuses, we test them one-by-one, at random. What is the probability that we are lucky and find both of the defective fuses in the first two tests?
1). With replacement
2). Without replacement
Suppose Ches Tahoe restaurant is one of the 7 largest restaurants in X City.
a. You would like to choose two different restaurants from them. How many different ways are there?
b. You would like to choose two different restaurants. One is for your lunch and the other one is for your dinner. How many different ways are there?
c. You would like to choose two restaurants. One is for your lunch and the other one is for your dinner. You are OK for going to the same restaurants. How many different ways are there?
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