The life expectancy of a female whose current age is x years old is f(x)=0.0069502x2−1.6357x+93.76 60≤x≤75) years.Whose current age is 75?

The yield strength of CP titanium welds was measured for welds cooled at rates of \(10^{\circ}C/s,15^{\circ}C/s\ \text{and}\ 28^{\circ}C/s\). The results are presented in the following table. (Based on the article “Advances in Oxygen Equivalence Equations for Predicting the Properties of Titanium Welds,” D. Harwig, W. Ittiwattana, and H. Castner, The Welding Journal, 2001:126s-136s.)

\(\begin{array}{} \hline \text{Cooling Rate}&\text{Yield Strenghts}\\ \hline 10&71.00&75.00&79.67&81.00&75.50&72.50&73.50&78.50\\ 15&63.00&68.00&73.00&76.00&79.67&81.00\\ 28&68.65&73.70&78.40&84.40&91.20&87.15&77.20&80.70&84.85&88\\ \hline \end{array}\)
a. Construct an ANOVA table. You may give a range for the P-value. b. Can you conclude that the yield strength of CP titanium welds varies with the cooling rate?

At a High school, 70% of the seniors have taken an advance calculus course. Of those who have taken Advanced Calculus, 60% will apply for a Pre-Health science major when they apply for college admission. Of those who have not taken advanced calculus, 40% will apply for a Pre-Health science major when they apply for college admission. A senior is selected at random. What is the probability that the senior have taken advanced calculus, given that the senior will apply for a pre-health science major?

At a certain university 523 of the seniors are history majors or math majors(or both).There are 100 senior math majors, and 33 seniors are majoring in both history and math. How many seniors are majoring in history?

Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a male whose current age is x years old is $f(x)=0.0069502x^2-1.6357x+93.76(60\le x\le 75)$ years. What is the life expectancy of a male whose current age is 65? A male whose current age is 75?

There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. Assume that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines.
Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?

During a given week, the museum had attendance as shown in the table at right. a. Numerically summarize the center and spread of attendance by finding the median and interquartile range (IQR). b. The museum management needs to tell the staff members their work schedules a week in advance. The museum wants to have approximately one staff member for every 150 visitors. How many staff members should be scheduled to workeach week? Explain your reasoning. c. Why is a scatterplot not an appropriate display of this data?
$\begin{array}{cc}Day& Attendance\\ 1& 870\\ 2& 940\\ 3& 731\\ 4& 400\\ 5& 861\\ 6& 680\\ 7& 593\end{array}$

Using the Mathematical Induction to prove that: ${\displaystyle 3^{2n}-1}$ is divisible by 4, whenever n is a positive integer.