Example 2.9 Suppose that a particular trait of a person (such as eye color or left handedness) is classified on the basis of one pair of genes and suppose that d represents a dominant gene and r a recessive gene. Thus a person with dd genes is pure dominance, one with rr is pure recessive, and one with rd is hybrid. The pure dominance and the hybrid are alike in appearance. Chil- dren receive one gene from each parent. If, with respect to a particular trait, two hybrid parents have a total of four children, what is the probability that exactly three of the four children have the outward appearance of the dominant gene?

A sample of 4 different calculators selected from a group containing 10 that are defective and 38 that have no defects. What is the possibility that at least one of the calculator is defective?

An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail with the word “free” in the subject line (version A) to a group of 1,500 customers and another version of the e-mail with word “discount” in the subject line (version B) to a different group of 1500 customers.  After tracking the responses to the two versions of the e-mail advertising, the retailer finds that 75 responded to version A and 105 responded to version B. At 0.05 significance level, can it be concluded that the response rate for version B is higher than the response rate to version A What is your decision? Enter “R” if your decision is to reject the null hypotheses.  Enter “F” if the decision is fail to/do not reject the null hypotheses. Your answer (R/F) is:    Which of the followings is the most appropriate conclusion for the hypotheses test?  Enter the number corresponding to the most appropriate conclusion in the answer box. For example, if statement number 2 is the most…

A computer store sells three types of microcomputers, brand A, brand B, and brand C. Of the computers they sell, 60% are brand A, 25% are brand B, and 15% are brand C. They have found that 20% of the brand A computers, 15% of the brand B computers, and 10% of brand C computers are returned for service during the warranty period. If a computer is returned for service during the warranty period, what is the probability that it is a brand A computer? A brand B computer? A brand C computer? The probability that it is a brand A computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand B computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand C computer is (Type a decimal. Round to three decimal places if needed.)

Flowering plant species can be subject to inbreeding, through self-fertilization.  Some species have adaptations that help to avoid this inbreeding, through asymmetric flower structures.  If the flower structures are “right-handed”, then a pollinator visiting the right-handed flower will get pollen on its left side, and thus, only be able to deposit the pollen on a left-handed flower that it visits later on.  [Similarly, pollinator visits to left-handed plants will result in pollen deposits on right-handed plants.]  You are interested in studying a particular plant species called Lupinus perennis, that demonstrates handedness, and you wish to know whether one type of handedness is more prevalent than the other (e.g., are left-handed plants more prevalent than right-handed plants?)  You sample 30 L. perennis plants, and find that 20 plants are right-handed, and 10 plants are left-handed.  Is one type of handedness more prevalent than the other?  What is your null hypothesis?  Report the…

The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine. The Coca-Cola Data and a MINITAB Output of a Randomized Block ANOVA of the Data: Building 4 41 15 36 ok 1. 46 4. 27 3 6. 35 10 43 8 217 146 130 9 Coke Classic New Coke Pepsi 133 114 82 10 86 143 98 123 152 48 52 62 39 62 122 53 71 64 110 at Two-way ANOVA: Cans versus Drink Building nces Source Drink Building DF 2 9. SS 8,147.4 4,073.70 53,434.8 5,937.20 12,914.6 MS F 5.68 8.28 .012 .000 Error 18 717.48 Total 29 74,496.8 Descriptive Statistics:…

1. A realtor sells houses in three different neighborhoods in the city—A, B and C. He sells ranch style homes and two-story homes. Last year, 60% of his sales were in neighborhood A, while neighborhood B made up 25% and neighborhood C was 15% of the sales. Only 10% of the houses in neighborhood A were ranches, compared with 40% for neighborhood B and 50% for neighborhood C. Suppose we randomly select one of the homes he sold in one of these three neighborhoods. (1) What’s the probability that the home is a ranch? (Enter a decimal as your answer, round to the nearest thousandth when necessary) (2) If the home is a ranch, what’s the probability that it is in neighborhood C? (Enter a decimal as your answer, round to the nearest thousandth when necessary)