Show your COMPLETE SOLUTION

direction:

If the problem is asking for the probabilities of an event, make sure to transform your answer in a percent form and round it off to two decimal place value.

examples:

0.1000 it should be 10%

0.56787 it should be 56.79%

61.51%

1. The Department of Labor and Employment (DOLE) found that 83% of Filipinos think that having a college education is important to succeed in life. If random sample of seven Filipinos is selected, find the probabilities that least five people will agree with that statement.
2. Consider the case where the predetermined average number of bus arrivals at the Cubao Station is 6 per 15-minute period. Find the pro of at least 4 buses arriving in a 15-minute period.*
3. A batch of parts contains 80 parts from Batangas supplier of engine and 120 parts from a supplier of engine in Bulacan. If five parts are selected randomly and without replacement, find the probability that they are all from Batangas supplier?
4. A 120-watt fluorescent light has an average brightness of 1986 lumens, with a standard deviation of 94 lumens. What is the probability that a 120-watt fluorescent light will have a brightness more than 2100 lumens?*
5. Suppose the number of Covax and Pfizer vaccine bought by the Philippine government are normally distributed with 25% of the Covax vaccine are below 180,000 dozens and 30% of the Pfizer vaccine are below 250`,000 dozens. What are the mean and standard deviation*
6. On the past math summative exam, the bottom 20% of students failed to pass the test. The mean for the test was 55 and the standard deviation was 11. what was the passing score?