To receive full credit on a problem you must show all work. All final answers sh

Question

To receive full credit on a problem you must show all work. All final answers should be accurate to at least three decimal places. Consider the following observations on shear strength of a joint bonded in a particular manner: 2.75 2.62 2.74 2.85 2.34 2.74 3.93 4.21 3.88 4.33 3.46 4.52 2.43 3.65 2.78 3.56 3.01 Find the sample Mean Median Standard deviation 2. Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events: E: { The total of the numbers is an even number } F: { The difference of the numbers is 3 or more } Find the following probabilities: P(E) P(F) P(E | F) Are E and F independent? Why? A group of three undergraduate and five graduate students are available to fill certain student government posts. If four students are to be randomly selected from this group, Find the probability that exactly two undergraduates will be among the four chosen. What is the probability that at least two graduate students be chosen? 4. A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb lots. Let X= the number of lots ordered by a randomly chosen customer, and suppose that X has pmf Compute Expected Value of X, and what is the Standard Deviation of X? Then compute the expected number of pounds left after the next customer's order is shipped, and the variance of the number of pounds left.

Explanation / Answer

1.

a)

Getting the mean, X,          
          
X = Sum(x) / n          
Summing the items, Sum(x) =    55.8      
As n =    17      
Thus,          
X =    3.282352941   [ANSWER, SAMPLE MEAN]  
          
  
B)

Ordering the data,

2.34
2.43
2.62
2.74
2.74
2.75
2.78
2.85
3.01
3.46
3.56
3.65
3.88
3.93
4.21
4.33
4.52

Hence, the median is the middle term, 9th term,

median = 3.01 [ANSWER]

****************************

c)      

Consider:

Thus, Sum(x - X)^2 =    7.948705882      
          
Thus, as           
          
s^2 = Sum(x - X)^2 / (n - 1)          
          
As n =    17      
          
s^2 =    0.496794118      
          
Thus,          
          
s =    0.704836235 [ANSWER, STANDARD DEVIATION]

*******************************************

Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!

x x - X (x - X)^2 2.75 -0.53235 0.2834 2.62 -0.66235 0.438711 2.74 -0.54235 0.294147 2.85 -0.43235 0.186929 2.34 -0.94235 0.888029 2.74 -0.54235 0.294147 3.93 0.647647 0.419447 4.21 0.927647 0.860529 3.88 0.597647 0.357182 4.33 1.047647 1.097564 3.46 0.177647 0.031558 4.52 1.237647 1.53177 2.43 -0.85235 0.726506 3.65 0.367647 0.135164 2.78 -0.50235 0.252358 3.56 0.277647 0.077088 3.01 -0.27235 0.074176

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.