Explanation Given: Snapdragons have no color dominance. A snapdragon with two red genes will have red flowers, a snapdragon with one red gene and one white gene will have pink flowers, and a snapdragon with two white genes will have white flowers. A commercial nursery crosses many snapdragons (some with red flowers, some with pink flowers, and some with white flowers) with pink flowered plants. Approach: The probability of the events E with respect to a sample space S is given below. P ( E ) = n ( E ) n ( S ) Where, n ( E ) is the number of time the event E occurs and n ( S ) is the total number of events. Calculation: Let R denote a red flower, W denote a white flower and P denote a pink flower. Let E 1 be the event of obtaining a red flower, E 2 be the event of obtaining a pink flower, E 3 be the event of obtaining a white flower and S denote the sample space. The Punnett square for cross of red flower with pink flower is given below. The first row contains the red parent genes and the first column contains the pink parent genes. R R R R , R R , R W R , W R , W Therefore, the sample space is given below. S = { ( R , R ) , ( R , R ) , ( R , W ) , ( R , W ) } The event of getting red flower is given below. E 1 = { ( R , R ) , ( R , R ) } The event of getting pink flower is given below. E 2 = { ( R , W ) , ( R , W ) } The event of getting white flower is given below. E 3 = { ∅ } The probabilities of the events E 1 is given below. P ( E 1 ) = n ( E 1 ) n ( S ) = 2 4 = 0.5 The probabilities of the events E 2 is given below. P ( E 2 ) = n ( E 2 ) n ( S ) = 2 4 = 0.5 The probabilities of the events E 3 is given below. P ( E 3 ) = n ( E 3 ) n ( S ) = 0 4 = 0 The Punnett square for cross of pink flower with pink flower is given below. The first row contains the pink parent genes and the first column contains the pink parent genes. R W R R , R R , W W R , W W , W Therefore, the sample space is given below. S = { ( R , R ) , ( R , W ) , ( R , W ) , ( W , W ) } The event of getting red flower is given below. E 1 = { ( R , R ) } The event of getting pink flower is given below. E 2 = { ( R , W ) , ( R , W ) } The event of getting white flower is given below. E 3 = { ( W , W ) } The probabilities of the events E 1 is given below To determine (b) To find: The percentages at which the snapdragon will stabilize.

Bundle: Mathematics: A Practical Odyssey + WebAssign Printed Access Card for Johnson/Mowry's Mathematics: A Practical Odyssey, 8th Edition, Single-Term

8th Edition

ISBN: 9781305621336

Author: Johnson

Publisher: CENGAGE L

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Chapter 11.5, Problem 10E

To determine

(a)

To create:

The transition matrix by using Punnett squares.

To determine

(b)

To find:

The percentages at which the snapdragon will stabilize.

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Chapter 11 Solutions

Bundle: Mathematics: A Practical Odyssey + WebAssign Printed Access Card for Johnson/Mowry's Mathematics: A Practical Odyssey, 8th Edition, Single-Term

Ch. 11.0A - In Exercises 1-10, a find the dimensions of the...Ch. 11.0A - Prob. 2E Ch. 11.0A - Prob. 3E Ch. 11.0A - Prob. 4E Ch. 11.0A - Prob. 5E Ch. 11.0A - Prob. 6E Ch. 11.0A - Prob. 7E Ch. 11.0A - Prob. 8E Ch. 11.0A - Prob. 9E Ch. 11.0A - In Exercises 1-10, a find the dimensions of the...

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(a) To create: The transition matrix by using Punnett squares.

Solution Summary: The author explains that Snapdragons have no color dominance. A commercial nursery crosses many snapdragons with pink flowers.

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(a) To create: The transition matrix by using Punnett squares.

(b) To find: The percentages at which the snapdragon will stabilize.

Chapter 11 Solutions

(a)

To create:

The transition matrix by using Punnett squares.

(b)

To find:

The percentages at which the snapdragon will stabilize.