SOLUTION: Hi please guide me here: A Cape Town courier service promises that 20%of Johannesburg-bound parcel deliveries will reach their destinations within 12 hours. What is the probabilit

Question 1112565: Hi please guide me here: A Cape Town courier service promises that 20%of Johannesburg-bound parcel deliveries will reach
their destinations within 12 hours. What is the probability that of the seven parcels sent at random
times by a particular client in Cape Town, only one is delivered late?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
use the binomial distribution
:
Probability ( P ) ( k successes in n trials ) = nCk * p^k * p^(n-k), where nCk = n! / (k! * (n-k)!)
:
for this problem, n=7, k=1, p = 1-0.20 = 0.80 (the probability of being late)
:
P ( 1 failure in 7 sent for delivery parcels ) = 7C1 * (0.80)^1 * (1-0.80)^(7-1)
:
P ( 1 failure in 7 sent for delivery parcels ) = 0.00036
:

RELATED QUESTIONS
A cape Town courier service promises that 20% of Johannesburg bound parcel deliveries... (answered by Boreal)

A Cape Town courier service promises that 80%of Johannesburg-bound parcel deliveries will (answered by Boreal)

A Cape Town courier service promises that 80%of Johannesburg-bound parcel deliveries will (answered by Theo)

goodday please help with this four(4) questions. 1. There are 23 clerks amongst the... (answered by ikleyn)

A courier service promises that 80% of deliveries will reach their destinations within... (answered by Theo)

A courier company, Weka Couriers, currently delivers four million packages per year and... (answered by advanced_Learner)

Sun Courier - a parcel delivery company - has found that the delivery time of parcels (answered by ewatrrr)

Hi, Could you please help me solve the below problem. Much appreciate your help. Thank... (answered by richwmiller,MathTherapy)

Sun Courier - a parcel delivery company - has found that the delivery time of parcels (answered by Theo)