1. The probability of telesales representative making a sale on a customer call is 0.15. Representatives are required to achieve a mean of at least 5 sales each day.
(C) Find the least number oftcalls each day a representative should make to achieve this
requirement

(d) Calculate the least number of calls that need to be made by a representative for the
probability of at least 1 sale to exceed 0.95

1c

1d

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  

     The mean is  

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

and the probability distribution function for binomial  distribution is  

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

=>  

=>  

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

=>    

=>    

=>    

=>    

taking natural  log of both sides

=>  

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis