Formulate the following questions

The interquartile range (IQR) is defined as the difference between the first and third quartiles (O3 - Q,). What feature of the box-and whisker plot does the IQR describe? A O the median of the data set O the full length of the box-and-whisker plot O the length of the box of the box-and-whisker plot O the average length of the two whiskers of the box-and-whisker plotO 70 80 90 100 The second box-and-whisker plot is shifted to the right and less spread out (10% less). Lower extreme = 81, lower Q = 64,median = 74,upper Q = 85, upper extreme = 94 O 60 70 80 90 The second box-and-whisker plot is shifted to the right and less spread out (10% less). Lower extreme = 64,lower Q = 74,median = 81,upper Q = 85, upper extreme = 94 O 80 90 100 The second box-and-whisker plot is shifted to the right and more spread out (10% more). Lower extreme = 64,lower Q = 74,median = 81,upper Q = 85, upper extreme = 94 O 60 70 90 The second box-and-whisker plot is shifted to the right and less spread out (10% less). Lower extreme = 85,lower Q = 74,median = 81,upper Q = 64,upper extreme = 94 O 70 90 100 The second box-and-whisker plot is shifted to the right and more spread out (10% more).15. QUESTION: I have in my pocket ten coins. Nine of them are ordinary coins with equal chances of coming up head and tail when tossed and the tenth has two heads. (a) If I take one of the coins at random from my pocket, what is the probability that it is the coin with two heads ? (b) If I toss the coin and it comes up heads, what is the probability that it is the coin with two heads ? (e) If I toss the coin one further time and it comes up tails, what is the probability that it is one of the nine ordinary coins ?2. QUESTION: A fair coin is tossed, and a fair die is thrown. Write down sample spaces for (a) the toss of the coin; (b) the throw of the die; (c) the combination of these experiments. Let A be the event that a head is tossed, and B be the event that an odd number is thrown. Directly from the sample space, calculate P(An B) and P(AUB)