15 points) A random sample of 250 undergraduate students from a large university was found to contain 65 freshmen, 66 sophomores, 61 juniors, and 58 seniors. (a) What proportion of undergraduate students are freshmen? (b) What is the risk of being a sophomore?

Respuesta :

Answer:

a) 0.26

b) 0.264

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 250

Number of freshmen = 65

Number of sophomores = 66

Number of juniors = 61

Number of seniors = 58

(a) What proportion of undergraduate students are freshmen

[tex]p = \dfrac{\text{Number of freshmen}}{n} = \dfrac{65}{250}\\\\p = 0.26 = 26\%[/tex]

(b) What is the risk of being a sophomore

[tex]\text{Risk}= \dfrac{\text{Number of sophomores}}{n} = \dfrac{66}{250}\\\\\text{Risk} = 0.264[/tex]

a. The proportion of undergraduate students are freshmen is 0.26.

b. The risk of being a sophomore is 0.264.

Calculation of the proportion and risk:

Since  A random sample of 250 undergraduate students from a large university was found to contain 65 freshmen, 66 sophomores, 61 juniors, and 58 seniors.

a. here the proportion should be

[tex]= 65\div 250[/tex]

= 0.26

b. The risk should be

[tex]= 66\div 250[/tex]

= 0.264

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