Statistics and Probability Answers

2. Classify each statement as an example of classical probability, empirical

probability, or subjective probability.

a. The probability that a person will watch the 6 o’clock evening news is 0.15.

b. The probability of winning at a Chuck-a-Luck game is 5

36

.

c. The probability that a bus will be in an accident on a specific run is about 6%.

d. The probability of getting a royal flush when five cards are selected at random

is 1

649,740

.

5. Drawing a Card: If a card is drawn from a deck, find the probability of 

getting these results: 

a. A 6 and a spade 

b. A black king 

c. A red card and a 7 

d. A diamond or a heart 

e. A black card

4. Rolling Two Dice: If two dice are rolled one time, find the probability of 

getting these results. 

a. A sum of 9 

b. A sum of 7 or 11 

c. A sum greater than or equal to 10

3. Rolling a Die: If a die is rolled one time, find these probabilities. 

a. Getting a 2 

b. Getting a number greater than 6 

c. Getting an odd number 

d. Getting an odd or even number

An association of city mayor conducted a study to determine the average number of times a family went to buy necesarries in a week.They found out that the mean is 4 times in a week

A recent study showed that the modern working person experiences an average of 2.1 hours per day of distractions (phone calls, e-mails, impromptu visits, etc.). A random sample of 50 workers for a large corporation found that these workers were distracted an average of 1.8 hours per day and the population standard deviation was 20 minutes. Estimate the true mean population distraction time with 90% confidence, and compare your answer to the results of the study.

List all the possible samples and the corresponding mean

. An employee’s weekly income in a certain online job follows a normal distribution with a mean of PHP1,000 and a standard deviation of PHP100. What is the z value for the income of:

Don, a canteen owner claims that the average meal cost of his usual customer is 190 pesos. In order to test his claim , don took a random sample of 25 customers and found out that the meal cost is 210 with a standard deviation of 30 pesos. Test the hypothesis at 0.01 level of significance

Q life time of led follow exponential distribution with mean life of 5000 burning hours. if one such LED is selected at random from a big lot, what is the probability that it will last for 

1. at least 4000 hours 

2. almost 10000 hours

Also state the standard deviation of the life time distribution. Given e raised to -0.8 is 0.4493 and e raised to -2 is 0.1353