Question

Consider this experiment. Roll a die. If the outcome is four, select a number at random from the interval (0,2). If the outcome is not a four, select a number at random from the interval (2,3). Let X= the value of the # selected.

draw a histogram of this random variable. Assuming X is rounder down to 1 decimal place.

Answer 1

The random variable X represents the value of the number selected in the experiment. To draw a histogram of this random variable, you need to determine the probabilities of each interval and represent them as the heights of the bars in the histogram.

Step-by-step explanation:

The random variable X represents the value of the number selected in the experiment described. In this experiment, a die is rolled, and if the outcome is four, a number is selected at random from the interval (0,2). If the outcome is not four, a number is selected at random from the interval (2,3). To draw a histogram of this random variable, you need to determine the probabilities of each interval. The probability of rolling a four is 1/6, and the probability of selecting a number from the interval (0,2) is 1/2. Therefore, the probability of X being in that interval is (1/6) * (1/2) = 1/12.

The probability of not rolling a four is 5/6, and the probability of selecting a number from the interval (2,3) is 1/2. Therefore, the probability of X being in that interval is (5/6) * (1/2) = 5/12. Based on these probabilities, you can now draw a histogram with two bars representing the intervals (0,2) and (2,3), and the heights of the bars representing the probabilities 1/12 and 5/12 respectively.