Algebra/Finite

Normal Distribution.

Number of customer in the store during a day follows Normal distribution with mean M and standard deviation σ.  Find probability that number of customer during a day will be:  1. less than x1   P(x < x1)  2. greater than x2  P(x > x2)  3. between x1 and x2   P(x1 < x < x2)  For M, σ, x1, x2 use numbers assigned for you in the table below. Help: convert x1 and x2 to z-score using formula: z = (x - M)/σ  and use Appendix C Table for Norma distribution.

	M	σ	x1	x2
1.	20	4	18	21
2.	90	25	60	130

(Use the provided document attached containing appendix C for questions below if required)

Find Mean, Median and Mode for the following ungrouped data:

1, 1, 2, 4, 5, 7, 10, 10, 10, 20

Calculate Mean for following grouped data:

Interval	Frequency
8-12	3
12-16	5
16-20	6
20-24	7
24-28	2

Find standard deviation for the following data: 5, 9, 14, 20, 22, 26 Use formula on page 526 for sample standard deviation.

Use formula for probability in Binomial distribution: P(x) = Cn,x px qn-x

(x – number of successes in n trials, Cn,x – combinations x out of n, p – probability in decimal form of success in each trial, q = 1 – p ) to calculate probability that tossed coin will have exactly 3 heads in 5 trials.

What is the area under the standard normal curve between (-1.12) and 1.38 on horizontal axis?

Score on a test has Normal Distribution with average 200 and standard deviation 50. What percentage of students has score between 150 and 300? Convert 150 and 300 to z-values and then use Table 1 from Appendix C.