Question

2) A basketball player scores 70% of his shots on average. What is the probability that he scores at least 18 successful shots tonight if he gets 20 shots?

Answer 1

20 20 20-X Answer (2) let X be the no. of successful shots out of n=20 shots. Then x n Binomial (n=20, P=0.70) with pmf of a is PlX=X) = 60)(0.7)*(0,3,20-2 ; x 20, 19.,20 The prob that player scoses atleast 18 successful shots is PLX218)= [ (0,7) (0.3) = P(X218) + P(x=19) + P(X= 20) 18)(0.7380.312+ ) 0,7,'9(0.31+ (20)6.7;20(0.33º 0.0 278 +0.0068 + 0.0008 0.0355 x=18 20 7

or = 6 11 ΟΥ evenj go - 9 PC X=0) = e (51 let & be the no. of customers receiving throuugh drive Then x follows poisson distribution with average 1 = 3 customer every 30 minutes ago an hour (60 minuters every minutes with pmf of X is P(XFX) = ēdy? X70,1; 2,.. (9) The expected value of customers fer them in an hour in Elx) = 1= 6 customers UD (6) The prob that they receive exactly 5 customers in the next go minutes will be PL x = 5) = ē°91 = 0.0607 V 5! (c) The prob that they do not receive any customies in the next to minutes will be 0! The prob that they receive exachy s customers in the next 30 minutes will be -3 P(X= 5) = ē 0.1008 The 5! Droo - 95 0 6. (d) خان اداکاری 3 5