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In a certain population of the freshwater sculpin. the distribution of the numbe

ID: 3206103 • Letter: I

Question

In a certain population of the freshwater sculpin. the distribution of the number of tail vertebrae as shown in the table. Find the probability that the number of tail vertebrae in a fish randomly chosen from the population equals 21. is less than or equal to 22. is greater than 21. is no more than 21. The following table shows the distribution of ages of Americans. Age distribution in reference population Find the probability that the age of a randomly chosen American is less than 20. is between 20. is between 20 and 49. is greater than 49. is greater than 29.

Explanation / Answer

3.2.1)

(a) Probability that the number of tail vertebrac in a fish randomly chosen from population equals 21 =3/100=0.03

(b) Probability that the number of tail vertebrac in a fish randomly chosen from population

is less than or equal to 22=(3+51+44) /100 =94/100 =0.94

(c)

Probability that the number of tail vertebrac in a fish randomly chosen from population

is greater than 21 =(40+6)/100 =46/100 =0.46

(d)

Probability that the number of tail vertebrac in a fish randomly chosen from population

is no more than 21 =(3+51)/100 =54/100=0.54

3.2.2)

(a) Probability that the age of randomly chosen American is less than 20 =0.27

(b)Probability that the age of randomly chosen American is between 20 to 49 =(0.14+0.13+0.14)=0.41

(c)Probability that the age of randomly chosen American is greater than 49 =(0.19+0.13)=0.32

(d) Probability that the age of randomly chosen American is greater than 29 is =(0.13+0.14+0.19+0.13)=0.59