<p>Extra chi-square problems: complete all three to replace the points lost on the chapter 8 test</p><p>1. A poker-dealing machine is supposed to deal cards at random, as if from an infinite deck. </p><p>In a test, you counted 1600 cards, and observed the following:</p><p>Spades: 404</p><p>Hearts: 420</p><p>Diamonds: 400</p><p>Clubs: 376</p><p>Calculate the chi-square value for the null hypothesis that the dealing is random. Give your answer to the nearest tenth.</p><p>2. A genetics engineer was attempting to cross a tiger and a cheetah. She predicted a phenotypic outcome of the traits she was observing to be in the following ratio 4 stripes only: 3 spots only: 9 both stripes and spots. When the cross was performed and she counted the individuals she found 50 with stripes only, 41 with spots only and 85 with both. Calculate the chi-square value for the data and give your answer to the nearest tenth.</p><p>3. At a high school, students can choose to enter through one of three doors. Custodians have noticed that door #3 is more often broken than the other two and suggest that more students are using that door because it has a hands-free opener. Science minded students counted the number of students entering each door and record the following data:</p><p>Door #1: 60 students</p><p>Door #2: 66 students</p><p>Door #3: 80 students</p><p>Calculate the chi-square value for the null hypothesis that there is no student door preference. Give your answer to the nearest tenth. Extra genetic probability problems: complete all five to replace the points lost on the chapter 8 test.</p><p>1. What is the probability that a family will have five girls and no boys? Give your answer as a fraction or as a value between 0 and 1, to three decimal places.</p><p>2. A certain species of plant has four unlinked genetic loci, W, X, Y, and Z. Each genetic locus has one dominant allele and one recessive allele. For a plant with the genotype WwXxYyZz, what is the probability that the plant will produce a gamete with a haploid genotype of Wxyz ? Give your answer as a fraction or as a value between 0 and 1, to three decimal places.</p><p>3. Dystrophic epidermolysis bullosa (DEB) is an autosomal recessive disease. An Evansville family has three children and two suffer from DEB even though neither parent displays that condition. What is the probability of this? Give your answer as a fraction or as a value between 0 and 1, to three decimal places.</p><p>4. Huntington’s disease is autosomal dominant. What is the probability that a couple where the father is heterozygous for the Huntington gene and the mother is healthy will have two healthy children?</p><p>5. In dogs, the trait for a dark coat (D) is dominant to an albino coat (d) and the trait for short hair (S) is dominant to long hair (s). If you cross two dogs with the genotypes DdSS and DdSs, what is the probability that a single offspring will have a dark coat and long hair?</p>