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P ( 0 < z < 2.0 )
The average time for a courier to travel from Tagum to Davao is 120 minutes, and the standard deviation is 15 minutes. If there are 1255 courier, how many takes between 100 to 140 minutes to travel from Tagum to Davao?
A meeting of consuls was attended by 4 Americans and 2 Germans. If three consuls were selected at random one after the other, list down all possible outcomes for the random variable G (number of Germans)
A. Let A = {1,2,3,4,5,6,7,8}, B = [x∈ Z / x is divisible by 3} and C = {x∈ R | x2= 4v X3 = -1}. mark the following true or false.
- 2 ∈ A
- -2 ∈ A
- - 3 ∋ B
- 11 ∈ B
- 1 ∈ C
- 8 ∈ A ∪ B
- 8 ∈ A ∩ B
- 2 ∈ A ∩ C
- 5 ∈ A ∪ C
- 7 ∋ A ∪ B
B. Let ∪={1,2,3,4,5,6,7,8,9,10}, A={1,2,3,4,5,6,}, B={1,2,3,4,5,7}, C={,2,4,6,8,10}
- A ∩ B
- A ∪ C
- A ∩ B'
- A-C
- A' ∩ B'
- B-C
C. Let U={a,b,c,d,e,f,g,h,i}, A={a,b,c,d,e}, B= {d,e,f,g,h}
- A' ∩ B
- A ∩ B'
- (A ∩ B)'
- A-B
- A' ∩ B'
- (A∩ B)'
Four balls are drawn in succession without replacement from an urn containing 8 red balls, 5 green balls. Let T be the random variable representing the number of red balls. Find the values of the random variable T. Complete the table.
Suppose three televisions are tested randomly. We want to find out the number of substandard condition. If we let Y be the random variable representing the number of substandard televisions, will you show the values of the random variable Y? Complete the table below to show the values of the random variable.
Test the (null) hypothesis, at 5% level of significance, that the population proportion of students speaking English is 55%. Show your work.
A basket contains 6 ripe and 2 unripe bananas. If three bananas are taken from the baskets one after the other, determine the possible values of the random variable R representing the number of ripe bananas.
Test the (null) hypothesis, at 5% level of significance, that the population mean age of students is 45 years. Show your work.
Test the (null) hypothesis, at 5% level of significance, that the population proportion of students speaking English is no less than 65%. Show your work.
