1. Four car parts were subjected to a crash test with two potential outcomes: Fo

Question

1. Four car parts were subjected to a crash test with two potential outcomes: For S, where F is a falure and S is a success. What is the proportion of in the sample (F S, S, S)? a. 1/4 b, 2/4 d, 0 2. A sample of sizon 3 has mean z 0. The sum of squared deviations of the first observation and thg second ation from the mean isa the sum of squared deviations is (H, which of the following can be the value of the third data point rs? b, 3 c, 0 3. For any given sample of size m 3, which of tho following statements is a. Sample mean is always positive p. Sample varianco is always equal to or smaller than the sum of squared deviations from the mean c. Population variance is aMays smaller than the sample variance d. Sample mean is always greater than the sample standard devialion e. Sample variance can be negatve 4. Aprobability experimont consists of two indopendent stops: 1. Roll of a four sided die where each possible outcome (1,2,3, is equally likely, 2. Toss a lair coin with outcomes (Herud, Taill. What is the probabilty of getting an eren number in the die roll and a Tail in the coin toss? d ()(2) e. 1/2 1121 Use the following information to answer quessons 5 and 6. The cumulative distribution function (cDF) for a discrete random variable is given as P(x s zo 6, for r that can tako values (1,2,5 2

Explanation / Answer

1 ans)

given f is failure and s is sucess

{f, s , s ,s }

the porpotion of success is 3/4

2ans) \

given its a series of 2

2 ^3 =8

so answer is 2

3) b - because sample variance is always eusl or smaller than

4)

c

probability of even when four digit die = 2/4 =1/2

tail when a coin is tossed = 1/2

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