A certain gene controls plant height. There are two alleles: B, the dominant allele, which produces tall plants, and b, the recessive allele, which produces short plants.Two heterozygous plants cross, producing 100 offspring. Assume each offspring's genotype is independent, and that each parent's allele is equally likely. Let S denote the discrete random variable which counts the number of short offspring. a. What is the probability that a randomly chosen offspring is short? b. What type of distribution does S have? What are the parameters of this distribution? c. What is the expected number of short offspring? d. What is the probability that among all 100 offspring, between 10 and 30 (both inclusive) are short? NEED HELP WITH A-D
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
A certain gene controls plant height. There are two alleles: B, the dominant allele, which produces tall plants, and b, the recessive allele, which produces short plants.Two heterozygous plants cross, producing 100 offspring. Assume each offspring's genotype is independent, and that each parent's allele is equally likely. Let S denote the discrete random variable which counts the number of short offspring.
a. What is the probability that a randomly chosen offspring is short?
b. What type of distribution does S have? What are the parameters of this
distribution?
c. What is the expected number of short offspring?
d. What is the probability that among all 100 offspring, between 10 and 30
(both inclusive) are short?
NEED HELP WITH A-D
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
