This take home exam is due on Monday November 6 Please read all instructions car

Question

This take home exam is due on Monday November 6 Please read all instructions carefully, write neatly and clearly note all answers. You are required to work alone on this exam. A text other reference materials can be used to assist you in completing this exam book, notes and The following distribution pertains to questions 1, 2, and 3. A graduate student in exercise science surveyed undergraduate students' weekly exercise habits. The following distribution in table 1 below gives the probability values for x, which is the number of days an undergraduate student exercised per week. 1. State the random variable for the exercise science distribution. 2. Identify the random variable as either discrete or continuous 3. Does P(x) represent a true probability distribution? Give a reason for your answer X P(x) 0.02 0.11 0 0.22 0.2 0.12 0.09 0.02 4 Table 1: Distribution table showing the number of days an undergraduate student exercised per week.

Explanation / Answer

Ans:

1)Random variable is number of days

2)Discrete variable

3)P(x) is not a true probability distribution as sum of p(x) values is not equal to 1 .

4)

possible number of ways=6C3*7C3*5C3

=20*35*10=7000

5)Binomial distribution with n=10,p=0.6

P(x=7)=10C7*0.67*(1-0.6)3

=0.2150

6)

Binomail distribution with n=5,p=0.5

P(x=4)=5C4*0.54*0.51

=0.1563

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