**Please give explaination for all the answers because this mid-term questions

Question 1

If n = 6 and = 0.40, what is the probability that X > 1?

Question 2

consider the following data in Otacnu Tours Inc., which represents the overall miles per gasoline, in gallon for one of the company's 2008 mini cars priced at $20,000. Manual computations required for this problem

51, 57, 43, 48, 50, 55, 59, 51, 65, 47

a) Put data in an ordered array

b) Show the stem and leaf display

c) Compute the mean, median, and mode.

d) Compute and list the 1st and 3rd quartiles

e) Find the variance and standard deviation.

Question 3

If = 0.5, find the P(X = 0).

Question 4

Given a normal distribution with mean = 100 and standard deviation = 10, what is the probability that

X < 80 or X > 110?

Question 5

Please show calculation for the following two problems (contingency tables). Show all calculations. NO POINTS ARE AWARD WITHOUT FORMULAS/CALCULATIONS.

Show calculation for the following contingency tables

	B	B'	Total
A	96	40
A'	69	45
Total

1. Sum the column and the row totals
2. What is the probabilty of event

1. A?
2. A'?
3. A and B?
4. A or B?

Question 6

Show the calculations for the following contingency tables. NO POINTS ARE AWARD WITHOUT FORMULAS/CALCULATIONS.

Show calculation for the following contingency tables

	B	B'	Total
A	96	40
A'	69	45
Total

1. Sum the column and the row totals
2. What is the probabilty of event

1. A?
2. A'?
3. A and B?
4. A or B?

Question 7

In a random sample of 74 people, 38 are classified as "successful"

a. Determine the sample proportion, p, of successful people.

b. If the population proportion is 0.80, determine he standard error of the proportion.

Question 8

Otacnu Manufacturing Inc. builds electric insulators. If the insulators break when in use, a short circuit is likely to occur. To test the strength of the insulators, destructive testing in high-powered labs is carried out to determine how much force is required to break the insulators. The force is measured by observing how many pounds must be applied to the insulator before it breaks. The force measurements, collected from a sample of 30 insulators and stored in the Force are: Construct a frequency distribution and a percentage distribution.

1. Construct a cumulative percentage distribution.
2. What can you conclude about the strength of the insulators if the company requires a force measurement of at least 1,500 pounds before the insulator breaks?
3. Use the Bin that is attached to complete the exercise then upload for grading.
4. MAKE 8 BINs ( Hint - begin the count at 1,500)

Answer in this format please :

1,870	1,728	1,656	1,610	1,634	1,784	1,522	1,696
1,592	1,662	1,866	1,764	1,734	1,662	1,734	1,774
1,550	1,756	1,762	1,866	1,820	1,744	1,788	1,688
1,810	1,752	1,680	1,810	1,652	1,736

Bin	Frequency	Percentage	Cumulative %

Question 09

A sample of cellular phone calls among college students was taken at St. Francis College.The data is summarized in the table below. Complete the Relative Frequency and Cumulative Frequency charts. Explain where the minutes are concentrated.

Manual computation

Time to call in minutes	Relative Frequency	Cumulative Frequency
O but less than 6	0.4	0.4
6 but less than 12	0.3	?
1 but less than 18	0.15	0.85
18 but less than 24	0.08	?
24 but less than 30	?	0.98
30 or more	0.02	?