ALTERNATE EXAMPLE (page 395) Who will win? Combining Normal random variables PROBLEM: A match of Hoop Fever gives each player 60 seconds to make as many baskets as possible. Morgan and Tim play...


ALTERNATE EXAMPLE (page 395)<br>Who will win?<br>Combining Normal random variables<br>PROBLEM:<br>A match of Hoop Fever gives each player 60 seconds to make as many baskets as possible.<br>Morgan and Tim play head-to-head every Tuesday. Suppose that M = the number of baskets<br>made by Morgan in a randomly selected match follows an approximately Normal<br>distribution with uM = 39.8 and uM = 5.7. Suppose that T= the number of baskets made by<br>Tim in a randomly selected match follows an approximately Normal distribution with<br>31.2 and o, = 10.3. Assume that these two random variables are independent and<br>%3D<br>%3D<br>%3D<br>Hy =<br>define D = M -T.<br>(a) Describe the distribution of D.<br>(b) What is the probability that Morgan will make more baskets than Tim in a randomly<br>selected match?<br>

Extracted text: ALTERNATE EXAMPLE (page 395) Who will win? Combining Normal random variables PROBLEM: A match of Hoop Fever gives each player 60 seconds to make as many baskets as possible. Morgan and Tim play head-to-head every Tuesday. Suppose that M = the number of baskets made by Morgan in a randomly selected match follows an approximately Normal distribution with uM = 39.8 and uM = 5.7. Suppose that T= the number of baskets made by Tim in a randomly selected match follows an approximately Normal distribution with 31.2 and o, = 10.3. Assume that these two random variables are independent and %3D %3D %3D Hy = define D = M -T. (a) Describe the distribution of D. (b) What is the probability that Morgan will make more baskets than Tim in a randomly selected match?

Jun 04, 2022
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