LAB: 4.1-4.3

TI-83/84 calculators permitted! Follow your instructor's rounding rules!

Construct a Probability Distribution Frequency (PDF), determine the Expected value (mean) of the variable, then calculate the standard deviation:

An industrial psychologist administered a personality inventory test for passive-aggressive traits to 150 employees. Individuals were rated on a score from 1 to 5, where 1 was extremely passive and 5 extremely aggressive. A score of 3 indicated neither trait. The results are shown below:

Score, x Frequency, f

2 33 4 30

A company tracks the number of sales new employees make each day during a 100-day probationary period. The results for one new employee are shown below:

1

24

3

42

5

21

Sales per day, x Number of days, f

0

16

1 19

3 21 5 10

72

2

15

4

9

6

8

3.The number of dogs per household were determined in a small town:Dogs, x Households, f

1425348

514

0

1491

2

168

4

29

Find the expected net gain to the player for one play of the game:

4.In American roulette, the wheel has 38 numbers(00, 0, 1, 2, ..., 34, 35, 36) marked onequally spaced slots. If a player bets $1 on a number and wins, then the player keeps the dollar and receives an additional $35. Otherwise, the dollar is lost.

Determine the missing probability value:

5.A sociologist surveyed a small town to determine the number of dependent children in the households.

x

P(x)

01234 0.07 0.20 0.38 ?? 0.13

Determine the mean, variance, and standard deviation:

Find the mean, variance, and standard deviation of the binomial distribution with the given values:=100 =0.4

In Pittsburgh, PA, about 56% of the days in a year are cloudy. Find the mean, variance, and standard deviation for the number of cloudy days during the month of June.