01:960:285 Lecture 5: Chapter 4 Expected Value pg 3
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The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season
x |
P(x) |
0 |
0.167 |
1 |
0.3289 |
2 |
0.2801 |
3 |
0.149 |
4 |
0.0382 |
5 |
0.0368
|
The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated?
a.Compute the theoretical mean of the random variable X for the given probability distribution.
Meu = ?
b. Compute the theoretical standard deviation of the random variable X for the given probability distribution.
Sigma =?
c.Approximate the mean of the random variable X based on the simulation for 25 games.
Xbar=?
d. Approximate the standard deviation of the random variable X based on the simulation for 25 games.
S=?
The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season x P(x) 0 0.167 1 0.3289 2 0.2801 3 0.149 4 0.0382 5 0.0368 The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated? a.Compute the theoretical mean of the random variable X for the given probability distribution. Meu = ? b. Compute the theoretical standard deviation of the random variable X for the given probability distribution. Sigma =? c.Approximate the mean of the random variable X based on the simulation for 25 games. Xbar=? d. Approximate the standard deviation of the random variable X based on the simulation for 25 games. S=?
QUESTION 1
If Plant 1 has a genotype of YY and Plant 2 has a genotype of yy, what is Plant 1's phenotype (the physical appearance of the plants' seeds)?
0.5 points
QUESTION 2
If Plant 1 has a genotype of YY and Plant 2 has a genotype of yy, what is Plant 2's phenotype (the physical appearance of the plants' seeds)?
0.5 points
QUESTION 3
What are the possible genotypes for offspring between Plant 1 and Plant 2?
1 points
QUESTION 4
What are the possible phenotypes for offspring between Plant 1 and Plant 2?
1 points
QUESTION 5
Now, trade one allele between plants such that each is heterozygous for the color trait. Fill in the Punnett Square below, with one plant's allele's in the dark boxes along the top, and the other plant's alleles in the dark boxes along the left.
1.5 points
QUESTION 6
What are the possible genotypes for offspring between Plant 1 and Plant 2?
, ,
0.5 points
QUESTION 7
What percentage of offspring would you expect to have each genotype?
YY %
Yy %
yy %
1 points
QUESTION 8
What are the possible phenotypes for offspring between these two plants?
,
1 points
QUESTION 9
What percentage of offspring would you expect to have each phenotype?
Yellow %
Green %
1 points
QUESTION 10
Mendel developed his Law of Segregation after observing two generations of crossed pea plants. His first generation plants were homozygous(as were yours). The second generation of crossing happened between two heterozygous plants (as in Question 5).
Imagine that the prevailing hypothesis of the time is that traits from the mother and father tend to blend together in offspring. Why did the results of Mendelâs experiment prompt him to come up with the Law of Segregation instead?