Complete the following Frequency table. (the first row is done for you) Interval Tally Frequency Cumulative Frequency Relative Frequency dist. 41-55 3 3 3/25= 0.12 56-70 71-85 86-100 Total {15pts} State The Arithmetic mean _____ {2} The mode _____ {1} The median_____ {2} The range ______ {1} The variance _____ {3} State whether this is a sample or population. Explain why. _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________{3}  

Section B.

50 students were selected for a survey. 20 of them played an instrument, 15 played a sport, the remainder did both. Represent this information on the following Venn diagram {3} State P(instrument AND sport)______________ {2} State P (instrument OR sport) ______________

{2} Section C. Probability Distribution State and explain the characteristics of the 3 types of discrete probability distributions.  

- Shape

- Central Tendency Chooses a single form of number as a representation of the whole number

- Variability provides the measures of qualitative that operates in a distribution state

Use chapter 6 to compute the following information on the number of tennis sneakers sold at Sports Center on a Friday. x P(x) 0 0.2 1 0.25 2 0.25 3 0.15 4 0.15 Mean______________________________1.3____________________ {3}

Variance _____________2.01__________________________________ {4}

Standard Deviation __1.42____________________________________ {4}

In a binomial distribution n= 5 and π=0.35. Find the probability of the following events X=2 {3} x≤ 2 {5} State the mean {2} Calculate the standard deviation {6} Solve 4!= 24 {1} 7P4 840 {2} 5C3 10 {2} In a set of 20 cars on a lot, 12 are SUV’s and 8 are compact vehicles. 5 cars are selected at random. What is the probability that 3 of the cars are SUV’s? {5}  20

Section D. Continuous Probability distribution. Use the following chart The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds What is the z value associated with 410 {2} 220

What is the area between 410 pounds and 400 pounds {3} What is the area between 380 and 420 {3} What is the area less than 380 {4} 385

A uniform distribution is defined over the interval from 3 to 6 What is the mean of this uniform distribution? {1} 4.5

What is the Standard deviation? {2} 6.8

A bag of skittles contains 5 colors. 12 red, 7 green, 8 blue, 10 yellow and 8 orange candies. A candy is selected at random (with replacement). Write your answer as a fraction. {1 each; 5pts} 7 What is the probability it is green 50 What is the probability it is blue or red P(orange and green) 12 7 50 50 P(not blue). + P(purple) 0 8 7 50 50 + * 10 50 + = 8 50 56 2500 || 37 50 8 == 50 + 12 50 = or 25