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If Joey has cystic fibrosis (an autosomal recessive disorder) But neither of his parents do. What is the chances that his sister would also have CF? SHOW ALL WORK FOR CREDIT. To insert a table(square) use the “+” icon and then insert table.

The following data have been collected from 500 students on whether they are Male or Female, and whether they have a car or not: Have a car Don’t have a car Total Male 125 25 150 Female 200 150 350 Total 325 175 500 If a randomly selected student have a car, what is the probability that the student is a male?   

The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In each class interval, the left endpoint but not the right is included, so the class intervals are [10, 15), {15, 20) etc. What percentage of universities had acceptance rates less than 25%?

State whether each of the below statement is either a True or a False statement. If X has a Binomial distribution with n = 20 and p = 0.5, then

In a large high school, a poll of students showed that 68% of students think that Mathematics is difficult, 37% think that Spanish is difficult, and 76% find at least one of these two subjects difficult. If a randomly selected student has difficulty in Spanish, what is the probability that the student struggles with Mathematics too?

Using the following five-number summary, indicate whether each statement below is true or false.  Minimum Q1 Median Q3 Maximum 18 36.5 55 72.9 99  

A nutritionist wants to see whether a new diet will help reduce weight for women. He randomly selects 15 women and assigns them to the new diet program (length of the program is one month). For each woman, he records their weights as they start the diet and after they complete the diet program. To test whether mean reduction in weight is significant, we would do:

Please note that this question consists of three parts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question.  In a used car dealership that post cars for sale, 85% of the cars have automatic transmission, 20% are all-wheel drive and 15% have both features. For a randomly chosen car from this website: Are having these two features:  “automatic transmission” and “all-wheel drive” mutually exclusive? Explain your answer.  What is the probability that it has neither features? What is the probability of having the feature of “all-wheel drive”, if it has “automatic transmission”? 

A study wants to explore if the proportion of students who drive after drinking more than safe limit has decreased over the past ten years.  Suppose that a survey was given to students in 2014 asking them to report driving after drinking within the past week.  The same survey was given to students in 2024.  What is the correct interpretation of the probability of making a Type II error in the context of this problem?

Please note that this question consists of four parts. You may use MINITAB to double check your final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question.   A study was conducted to determine the percentage of adults in United States who are afraid to fly. Of the 1075 adults in United States surveyed, 292 were afraid to fly. Give a point estimate for the true proportion of adults in United States who are afraid to fly. The study wants to release an interval estimate for the true proportion of adults in United States who are afraid to fly. What are the conditions that need to be satisfied in order to calculate a confidence interval? Are they satisfied?  Calculate a 95% confidence interval for the true proportion of adults in United States who are afraid to fly. Interpret the interval calculated in part 3.