Question

Question 02: Past data from a soccer league suggests that 20% of new players sustain a serious injury within the first year of their arrival in a new club. Leeds United recruited 13 new payers this season. a. What is the probability that none of these players will sustain any serious injury this year? (1 Mark) b. What is the probability that exactly two of these players will sustain a serious injury this year? (1 Mark) C. Compute the mean and standard deviation of this probability distribution. (1 Mark]

Answer 1

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Given, P= 20% = 0.2 ;q=1-p= 0.8 n=13. XNB (13,0-2) P(x=x): nccp)(2)9-2 n-x. 13-x 13. & G (0.2) (0.8) pinone of the players): P(x=0) 35 (0:1)(0.8) - 13 0.05498 P(x=2) = 13. 1369 (0-2) + (0-8)" 0.2680 © In Binomial distribution Mean = Menp=13x0.2=2.6 Inpq 13x0.2 X0.8 - 1:4422 Studera

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