tropheus

10-21-2015, 06:16 PM

Hi there, I'm really poor at doing probability and stats and it doesn't help that I can't afford the textbook for the course, however I have to complete these exercises for next week. Can anyone help me understand the equations of how I would go about completing these questions? I would really appreciate any help.

1. The amount of sodium in a randomly selected 9-ounce serving of chicken noodle soup has a normal distribution with mean 1106 mg and standard deviation 150 mg. Suppose an 8-ounce serving chicken noodle soup is randomly selected.

a. What is the probability that the amount of sodium is over 1000 mg?

b. What is the probability that the amount of sodium is between 800 mg and 1200 mg?

c. Given that the amount of sodium is over 1000 mg, what is the probability that it is

less than 1200 mg?

d. Find a symmetric interval about the mean such that 90% of all 8-ounce serving chicken

noodle soup have sodium amount in this interval.

2. Suppose that in a weekly lottery, you have 2% chance of winning a prize with a single ticket. Assume you buy only 1 ticket per week for 52 weeks.

a. What is the probability that you win no prizes?

b. What is the probability that you win 3 or more prizes?

c. What is the mean and standard deviation of the number of prizes you win?

d. What is the probability that the rest winning is in the sixth week?

1. The amount of sodium in a randomly selected 9-ounce serving of chicken noodle soup has a normal distribution with mean 1106 mg and standard deviation 150 mg. Suppose an 8-ounce serving chicken noodle soup is randomly selected.

a. What is the probability that the amount of sodium is over 1000 mg?

b. What is the probability that the amount of sodium is between 800 mg and 1200 mg?

c. Given that the amount of sodium is over 1000 mg, what is the probability that it is

less than 1200 mg?

d. Find a symmetric interval about the mean such that 90% of all 8-ounce serving chicken

noodle soup have sodium amount in this interval.

2. Suppose that in a weekly lottery, you have 2% chance of winning a prize with a single ticket. Assume you buy only 1 ticket per week for 52 weeks.

a. What is the probability that you win no prizes?

b. What is the probability that you win 3 or more prizes?

c. What is the mean and standard deviation of the number of prizes you win?

d. What is the probability that the rest winning is in the sixth week?