A bicycle-rental store has ten bicycles available forrent. On the average day ,6

Question

A bicycle-rental store has ten bicycles available forrent. On the average day ,60 % of the bicycles are rentedout. Answer the following questions 1) Find the probability(in percent form) that on one day, only four of the ten bicyclesare rented out 2) Find the probablity that on one day, all ten ofthe bicycles are rented out. Thanks you so much. A bicycle-rental store has ten bicycles available forrent. On the average day ,60 % of the bicycles are rentedout. Answer the following questions 1) Find the probability(in percent form) that on one day, only four of the ten bicyclesare rented out 2) Find the probablity that on one day, all ten ofthe bicycles are rented out. Thanks you so much.

Explanation / Answer

Step 1: Define terms andvariables.

Let X = # of bikes rented out.

X ~ Binomial(n = 10, p = 0.60)

Binomial Formula: P(X = x) =nCx * px *q1-x

    wherenCx = n! / [x! * (n – x)!] and q = 1– p

Step 2: Find the probabilitydistribution.

P(X = 4) = 10C4 *(0.6)4 * (0.4)6 = 0.1115

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