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Question

Answers must be correct. Or else it will be flagged. All sub-parts need to be answered with step by step process showing all work and reasoning.

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DON'T PROVIDE WRONG ANSWERS AND DON'T ANSWER IF YOU DON'T WANT TO ANSWER ALL SUB-PARTS. INCOMPLETE ANSWERS WILL BE FLAGGED

Statistics:

The number of bus rides taken by Dalhousie students on a weekday is a random variable X with probability distribution given below: P(x) a) What is the probability that at least one ride is taken. Answer to 2 b) What is the probability that at most one ride is taken? Answer to 0 2 0.2 0.7 0.1 2 digits past the decimal. c) Find the mean number of bus rides taken by Dalhousie students on weekdays. Answer to 2 digits past the decimal. d) Find the variance of X. Answer to 2 digits past the decima.

Explanation / Answer

a) P(at least one ride is taken) = P(1) + P(2)

= 0.1 + 0.2

= 0.3

b) P(at most one ride is taken) = P(0) + P(1)

= 0.7 + 0.1

= 0.8

c) Mean = Sum of {xP(x)}

= {0x0.7 + 1x0.1 + 2x0.2}

= 0.5

d) Variance = Sum of {(x - mean)2P(x)}

= (0 - 0.5)2x0.7 + (1 - 0.5)2x0.1 + (2 - 0.5)2x0.2

= 0.65

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