Statistics and Probability

1 After a genetics experiment on 54 pea plants, the number of plants having certain characteristics was tallied, with the results given to the right. Answer parts (a) through (c). 21 were tall; 27 had green peas; 37 had smooth peas; 10 were tall and had green peas; 18 had green peas and smooth peas; 5 had all three characteristics; 6 had none of the characteristics. (a) Find the number of plants that were tall and had smooth peas. (b) How many plants were tall and had peas that were neither smooth nor green? (c) How many plants were not tall but had peas that were smooth and green? Toward the middle of the harvesting season, 41 trucks went out carrying early peaches; IN peaches for canning come in three types, early, 65 carried late peaches; late, and extra late, depending on the expected 65 carried extra late peaches; date of ripening. During a certain week, the data 27 carried early and late; to the right were recorded at a fruit delivery 33 carried late and extra late; station. Complete parts (a) through (d) below. 13 carried early and extra late; 5 carried all three; 6 carried only figs (no peaches at all). (a) How many trucks carried only late variety peaches? (b) How many carried only extra late? (c) How many carried only one type of peach? 3 A marble is selected at random from a jar containing 2 red marbles, 5 yellow marbles, and 3 green marbles. What is the probability that the marble is red? The following table gives the number of years of Years of Service Number of Members service of members in a certain committee. Find 0-9 49 4 the probability that a randomly selected member of the committee had served 0-9 years. 10-19 27 20-29 15 30-39 Sickle cell anemia is an inherited disease in which red blood cells become distorted and 5 deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent the sickle cell gene, and s a healthy gene, the Second Parent table shows the four possibilities for the S children of two Ss parents. Find the probability First SS Ss that these parents give birth to a child who an un Parent SS SS has sickle cell anemia. Two cards are drawn without replacement from an ordinary deck. Find the probability that the second is 6 not a spade, given that the first is a spade