a. The number of bottles of water sold in Florida in August 2008
b. The weight of a wasp in the lab test nest
c. The number of sophomores in a required US History class at Ridgemont High in 2008
d. The weight of a player on the Washington Redskins
e. The number of cars starting in the Darlington 500 in 2008
2. Decide whether the distribution is a probability distribution. If it is not a probability distribution, identify the property that is not satisfied. (References: example 3 and 4 page 197, end of section exercises 25 - 28 page 202 - 203)
3. The number of tennis balls ordered by club members of a country club pro shop has this probability distribution. Balls are packaged in a can of 3. Complete the table shown and find the mean, variance, and standard deviation for the distribution. Round b, c and d to 2 decimal places as needed.
(References: example 5 and 6 page 198 - 199, end of section exercises 29 - 34 page 203)
x P(x) x * P(x) x - mu (x - mu)2 P(x) * (x - mu)2
Sum x * P(x) = Sum P(x) * (x - mu)2 =
a. Complete the table
b. Mean mu
c. Variance σ2
d. Standard Deviation σ
Section 4.2: Binomial Probability
Find the indicated binomial probabilities. Round to the nearest 3 decimal places. (References: example 6 page 212, end of section exercises 15 - 24 page 216 - 217) For part d and e: (References: example 8 page 214)
4. In a local college, 60% of the math majors are women. Fifteen math majors are chosen at random.
a. What is the probability that exactly 5 are women?
b. What is the probability that 5 or less women are selected?
c. What is the probability that 12 women are selected?
d. Find the mean mu
e. Find the variance σ2
5. A multiple choice test has 20 questions with each having 4 possible answers with one correct. Assume a student randomly guesses the answer to every question.
a. What is the probability of getting exactly 9 correct answers?
b. What is the probability of getting less than 9 correct answers?
See attached file.
The solution provides step by step method for the calculation of mean, variance, standard deviation of a probability distribution and binomial probabilities. Formula for the calculation and Interpretations of the results are also included.