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The average family size in the Philippines was reported as 4.25. A random of families in a particular street resulted in the following family sizes: 5, 6, 7, 4, 3, 2, and 9. At 𝛼=0.10, does the average family size more than the national average?
a.
Explain how you could use the random number table shown below to simulate rolling a fair six-sided die. Assume you are interested in the probability of rolling a 4.
b.
Using the random number table below, report the empirical probability of rolling a 4 on the six-sided die from part a, and compare it with the theoretical probability of rolling a 4.
1, 5, 4, 9, 1, 3, 3, 7, 6, 2
4, 5, 9, 6, 8, 5, 2, 4, 4, 8
a. Which of the following is the best explanation on how to use the random number table to simulate rolling the die?
Use all the numbers in the random number table.
b. The empirical probability of rolling a 4 is and The theoretical probability of rolling a 4 is
Compare the empirical probability of rolling a 4 with the theoretical probability of rolling a
A pair of dice is thrown twice .Find the Probability of scoring 7 points
i) once ii) twice and iii) atleast once
Using binomial distribution
Explain how you could use the random number table shown below to simulate rolling a fair six-sided die. Assume you are interested in the probability of rolling a 2.
b.
Using the random number table below, report the empirical probability of rolling a 2 on the six-sided die from part a, and compare it with the theoretical probability of rolling a 2.
1, 8, 4, 6, 2, 0, 1, 8, 8, 6
2, 9, 6, 2, 6, 2, 4, 8, 1, 1
a. Which of the following is the best explanation on how to use the random number table to simulate rolling the die?
Use the numbers 1, 2, 3, 4, 5, and 6 to represent the outcomes and ignore 0 and 7-9.
b. The empirical probability of rolling a 2 is
The theoretical probability of rolling a 2 is
Compare the empirical probability of rolling a 2 with the theoretical probability of rolling a
a. More than 2100 hrs
b. Less than 18550 hrs
c. More than 1900 hrs but less than 2050 hrs
At a school raffle, students can purchase two types of tickets: Ticket A which costs $2.00 each, students can win the following prizes: twenty $10 Tim Horton's gift cards, twelve $15 Starbucks' gift cards, and five $30 Staples gift cards. Ticket B which costs $3.00 each, students can win the following prizes: three $25 Tim Horton's gift cards, and two $300 Staples gift card. Suppose there are only 600 of each types of tickets being sold.
a) Complete a probability distribution table for each ticket.
b) Determine which type of raffle ticket has greater value. Justify your answer.
At a school raffle, students can purchase two types of tickets: Ticket A which costs $2.00 each, students can win the following prizes: twenty $10 Tim Hortons gift cards, twelve $15 Starbucks' gift cards, and five $30 Staples gift cards. Ticket B which costs $3.00 each, students can win the following prizes: three $25 Tim Hortons gift cards, and two $300 Staples gift cards. Suppose there are only 600 of each type of tickets being sold.
a) Complete a probability distribution table for each ticket.
b) Determine which type of raffle ticket has greater value. Justify your answer.
A store had a scratch-and-win promotion in which 1000 cards indicated 10% off, 50 cards indicated 15% off, 10 cards indicated 20% off and 1 card indicated 40% off. What is the expected value for a given scratch-and-win card? *
A civic organization includes 200 members, who have an average income of $58,000, with a standard deviation of $10,000. A simple random sample of n 5 30 members is selected to participate in the annual fund-raising drive. What is the probability that the average income of the fund-raising group will be at least $60,000?
