For a certain animal species, the probability that a female will have a certain number of offspring in a given year is given in the table below. Find the expected number of offspring per year.

Number of Offspring: 0
Probability: 0.31

Number of Offspring: 1
Probability: 0.21

Number of Offspring: 2
Probability: 0.19

Number of Offspring: 3
Probability: 0.17

Number of Offspring: 4
Probability: 0.12

Solution Summary

This shows how to find the expected number of offspring per year.

In a genetics experiment on peas, one sample of offspring contained 410 green peas and 121 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
The probability of getting a green pea is approximately _____

The accompanying table describes results from eight offspring peas. The random variable x represents the number of offspring peas with green pods.
Table
Probabilities of Numbers of Peas with
Green Pods Among 8 Offspring Peas
x(Number of Peas with Green Pods) P(x)
0

Hi. Here's the problem:
In Zebrafish, 3 genes have been mapped on the third chromosome, in the order
fiz--6 m.u.---myob----14 m.u.-------sufi
The wild-type allele of each gene is dominant.
A strain that is
fiz myob sufi/+++
is testcrossed, and there are 1000 offspring fish.
1. How many fiz

Assume that a trait is determined by a single pair of genes where one allele is dominant and the other is recessive.
In a population, 30% of the females are pure dominant, 60% are hybrid, and 10% are pure recessive. If a pure recessive male mates with a random female and their first offspring has the dominant trait, what is th

Markov chains. I am finding the continuous case a bit unintuitive. This problem concerns martingales and branching processes, but it is supposedly not hard. I just need a detailed solution to this problem, so that I can see what concepts are used to solve it.

In the cross AaBbCcDd x aaBbccDd, each of the 4 genes is inherited independently from the other 3 genes (the genes are all unlinked), and each of the four genes exhibits complete dominance.
a.What is the probability that an individual offspring will be phenotypically identical to the first parent?
b.What is the probability t

In order to get the expected Mendelian ratio in a monohybrid cross, it is important to be able to observe:
a. four offspring
b. one for each box in the Punnett square
c. many offspring
d. one phenotype for each genotype that is expected
e. more recessive phenotypes than dominant phenotypes

Fur colour in the babbit, a furry little animal and popular pet, is determined by a pair of alleles, B and b. B/B and B/b babbits are black, and b/b babbits are white. A farmer wants to breed babbits for sale. True breeding white (b/b) female babbits breed poorly. The farmer purchases a pair of black babbits, and these mate and

A1. (i) Let X be a random variable with probability mass function ( pmf )
.....
Determine the probability generating function of X.
(ii) Suppose that the probability generating function of a random variable X is given by
....
Determine the probability mass function of X. [5 marks]
(Hint: You may use the formula: P1
...
A