Concept explainers
Genetics: Pea plants contain two genes for seed color, each of which may be Y (for yellow seeds) or G (for green seeds). Plants that contain one of each type of gene are called heterozygous. According to the Mendelian theory of genetics, if two heterozygous plants are crossed, each of their offspring will have
- Approximate the probability that more than 30 have green seeds.
- Approximate the probability that 80 or fewer have yellow seeds.
- Approximate the probability that the number with green seeds is between 30 and 35, inclusive.
a.
The approximated probability that more than
Answer to Problem 22E
The approximated probability that more than
Explanation of Solution
Given Information:
According to the Mendelian theory of genetics, if two heterozygous plants are crossed, each of their offspring will have probability
Formula used:
Calculation:
The sample size issize is
Since,
And
This means normal approximation can be used.
The standard deviation is,
Since the probability is
Calculating the
The required probability is,
Hence, the approximated probability that more than
b.
The approximated probability that
Answer to Problem 22E
The approximated probability that
Explanation of Solution
Given Information:
The sample size is
Calculation:
The sample size issize is
Since,
And
This means normal approximation can be used.
The standard deviation is,
Since the probability is
Calculating the
The required probability is,
Hence, the approximated probability that
c.
The approximated probability that the number with green seeds is between
Answer to Problem 22E
The approximated probability that the number with green seeds is between
Explanation of Solution
Given Information:
The sample size is
Calculation:
Since, the probability is
Calculating the
Calculating the
The required probability is
Hence, the approximated probability that the number with green seeds is between
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Chapter 7 Solutions
Elementary Statistics
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