# Descriptive statistics and probability

See the attached file.

Question 1:

Gregor Mendel crossed two breeds of peas and examined the crop. He found 892 wrinkled green peas, 378 smooth green peas, 618 wrinkled yellow peas, and 241 smooth yellow peas.

a. If he picked a smooth pea at random from his crop, what is the probability that it was yellow?

b. If he picked a pea at random from his crop, what is the probability that it was yellow or smooth?

c. If he picked a pea at random from his crop, what is the probability that it was green and wrinkled?

Question 2:

Data set 28 shows the weight, in grams, of a sample of sugar packets.

a. What is the sample standard deviation?

b. What is the median of the sample?

c. Give a boxplot of the sample.

d. Give a histogram with seven classes for the sample.

e. Test whether the sample came from a normally-distributed population, and justify your conclusion.

f. Give a 92%-confidence interval for the mean of the population of packets from which this sample was drawn.

#### Solution Preview

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5. (8) Gregor Mendel crossed two breeds of peas and examined the crop. He found 892 wrinkled green peas, 378 smooth green peas, 618 wrinkled yellow peas, and 241 smooth yellow peas.

The given information can be put in a 2x2 table as

Wringed Smooth Total

Green 892 378 1270

Yellow 618 241 859

Total 1510 619 2129

a. If he picked a smooth pea at random from his crop, what is the probability that it was yellow?

Probability = Favorable cases / Total Number of cases = f/n= 859/2129

b. If he picked a pea at ...

#### Solution Summary

The solution provides step-by step method for the calculation of descriptive statistics and probability. Formula for the calculation and Interpretations of the results are also included.