Question

When Mendel experimented with crossing different types of peas, he noted both the color (green or yellow) and the shape (round or wrinkled) of the peas produced. The table below gives the predicted percentage of each type according to Mendelian genetics.

Round 0.1875 (green) 0.5625 (yellow)

Wrinkled 0.0625(green) 0.1875(yellow)

If one pea is drawn at random from the peas produced, what is the probability it is round?

If a simple random sample of 20 peas is drawn from those produced, what is the expected number of round peas?

If a simple random sample of 20 peas is drawn from those produced, what is the standard deviation of the number of round peas? (Round your answer to two decimal places.)

Answer #1

Consider the problem regarding the genetics of crossing two
types of peas. The Mendelian theory states that the probabilities
of the classifications (a) round and yellow, (b) wrinkled and
yellow, (c) round and green, and (d) wrinkled and green are 9=16 ;
3=16; 3=16; and 1=16, respectively. Suppose that from 160
independent observations, the observed frequencies of these
respective classifications are 85; 35; 27 and 13. Test at the 1%
level of significance if these data are consistent with the...

Gregor Johann Mendel, the Father of genetics, conducted his
groundbreaking experiments with peas. The table below shows the
results of one of his experiments (adapted from Cramer, 1999). With
a sample of peas, the characteristics were distributed as follows:
------------------------------- Phenotype Number
------------------------------- Round and Yellow 315 Round and
Green 108 Angular and yellow 101 Angular and Green 32
------------------------------- Test the hypothesis that the
distribution of characteristics in the sample points to a
population where phenotype distribution is random....

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