Question 32. There are 8 socks in your drawer: 4 black and 4 red. You take 3 of them with you in the dark. Which statements are correct? a) It is sure that you get at least two socks (a pair) of the same colour. b) It is sure that you get a pair of reds. c) The probability to get 3 of the same colour is .

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Question 31. Let the coefficient of correlation of two variables X and Y be larger than zero. What will be the
effect on it, if the data of X are multiplied by the factor of 2?
a) The effect depends on the data of X.
b) It depends on Y.
c) The coefficient will be doubled.
d) It will be increased fourfold.
3.2 Probability
Question 32. There are 8 socks in your drawer: 4 black and 4 red. You take 3 of them with you in the dark.
Which statements are correct?
a) It is sure that you get at least two socks (a pair) of the same colour.
b) It is sure that you get a pair of reds.
c) The probability to get 3 of the same colour is .
9
d) The probability to get 3 of the same colour is 4.
Transcribed Image Text:Question 31. Let the coefficient of correlation of two variables X and Y be larger than zero. What will be the effect on it, if the data of X are multiplied by the factor of 2? a) The effect depends on the data of X. b) It depends on Y. c) The coefficient will be doubled. d) It will be increased fourfold. 3.2 Probability Question 32. There are 8 socks in your drawer: 4 black and 4 red. You take 3 of them with you in the dark. Which statements are correct? a) It is sure that you get at least two socks (a pair) of the same colour. b) It is sure that you get a pair of reds. c) The probability to get 3 of the same colour is . 9 d) The probability to get 3 of the same colour is 4.
Question 33. In the sports injuries unit of a hospital, 40% of the patients are rugby players, 20% are swimmers
and the remaining 40% play soccer. For a rugby player, the probability to be released on the first day is 10%; for
a swimmer, it is 20%; for a soccer player, it is 80%. Which of the following statements are correct?
a) 40% of all patiets are released on the first day.
b) Given a patient is released on the first day, the probability of her/him being a soccer player is 80%.
c) 80% of the non-swimmers have to stay for more than one day.
Question 34. Let X be a random variable with probability density function
f(2) = {, r€ [0,3),
else.
Which of the following statements are correct?
a) The expected value of X is .
b) The probability of X < 1 is .
c) The probability of X € [0,0.5) is .
d) The probability of X = 1 is zero.
Transcribed Image Text:Question 33. In the sports injuries unit of a hospital, 40% of the patients are rugby players, 20% are swimmers and the remaining 40% play soccer. For a rugby player, the probability to be released on the first day is 10%; for a swimmer, it is 20%; for a soccer player, it is 80%. Which of the following statements are correct? a) 40% of all patiets are released on the first day. b) Given a patient is released on the first day, the probability of her/him being a soccer player is 80%. c) 80% of the non-swimmers have to stay for more than one day. Question 34. Let X be a random variable with probability density function f(2) = {, r€ [0,3), else. Which of the following statements are correct? a) The expected value of X is . b) The probability of X < 1 is . c) The probability of X € [0,0.5) is . d) The probability of X = 1 is zero.
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