Determine whether the number line represents a discrete random variable or a con

Question

Determine whether the number line represents a discrete random variable or a continuous random variable. Explain your reasoning. The length of time college students study each week A) Discrete, time is a random variable that is countable. B) Continuous: Time is a random variable that must be measured The environment protection Agency must visit nine factories for complaints of air pollution in how many different ways can a representative visit five of these to investigate this week? A) 362,880 B) 126 C) 15,120 D) 5 Assume that the random variable X is normally distributed with mean mu = 60 and standard deviation sigma = 8, compute the probability P(38

Explanation / Answer

11) B. Continous - Time is a random variable that must be measured

12) 9C5 ways = 126 (B)

13) P(38 < X < 70) = P(X < 70) - P(X < 38)

= P(Z < (70-60)/8) - P(Z < (38-60)/8)

= P(Z < 1.25) - P(Z < -2.75)

= 0.8944 - 0.0030

= 0.8914 (A)

15) Area to left of z = 1 is 0.8413

So, area to right = 1 - 0.8413 = 0.1587 (A)

16) P(Z <2.11) - P(Z < -0.45) = 0.9826 - 0.3264

= 0.6562 (C)

NB -Please post different questions separately

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