A type of chocolate bar does contain a prize voucher with probability p, 0 k, >...

 

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A type of chocolate bar does contain a prize voucher with probability p, 0 <ps 1. Whether or not a bar does contain a prize voucher is independent of other bars. A hungry student buys 8 chocolate bars. Let X denote the number of bars without prize vouchers that she finds and its probability mass function (pmf) is given below: 2 3 5 6. k2 1 4 7 X:x Pr(X: x) k4 k3 k2 k k k1 k3 k4 What sort of distribution does X have? Write down its pmf form. Draw the above pmf where 0 < k > k, > kz > kz > k, s 1. How likely is it that the she finds seven or more bar without prize voucher? What is the most likely numbers of vouchers that she finds? (i) [1+l+1+l] (ii) (iii) (iv) A type of chocolate bar does contain a prize voucher with probability p, 0 <ps 1. Whether or not a bar does contain a prize voucher is independent of other bars. A hungry student buys 8 chocolate bars. Let X denote the number of bars without prize vouchers that she finds and its probability mass function (pmf) is given below: 2 3 5 6. k2 1 4 7 X:x Pr(X: x) k4 k3 k2 k k k1 k3 k4 What sort of distribution does X have? Write down its pmf form. Draw the above pmf where 0 < k > k, > kz > kz > k, s 1. How likely is it that the she finds seven or more bar without prize voucher? What is the most likely numbers of vouchers that she finds? (i) [1+l+1+l] (ii) (iii) (iv)