Answer:
2
Step-by-step explanation:
2k+3=7
2k=4
k=2
Numbers 2, 4 and 5 are the correct answers.
Hope this helps!
Answer:
0.0009
Step-by-step explanation:
9*10⁻⁴ = 0.0009
Answer:
1c
![n = 33](https://tex.z-dn.net/?f=n%20%3D%2033)
1d
![n = 19](https://tex.z-dn.net/?f=n%20%3D%2019)
Step-by-step explanation:
From the question we are told that
The probability of telesales representative making a sale on a customer call is ![p = 0.15](https://tex.z-dn.net/?f=p%20%3D%200.15)
The mean is ![\mu = 5](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%205)
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
![\mu = n* p](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%20n%2A%20%20p)
=> ![5= n * 0.15](https://tex.z-dn.net/?f=5%3D%20n%20%2A%20%200.15)
=> ![n = 33](https://tex.z-dn.net/?f=n%20%3D%2033)
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
![P( X \ge 1) = 1 - P( X < 1 ) > 0.95](https://tex.z-dn.net/?f=P%28%20X%20%5Cge%201%29%20%3D%201%20-%20P%28%20X%20%3C%201%20%29%20%3E%200.95)
=> ![P( X \ge 1) = 1 - P( X =0 ) > 0.95](https://tex.z-dn.net/?f=P%28%20X%20%5Cge%201%29%20%3D%201%20-%20P%28%20X%20%3D0%20%29%20%3E%200.95)
=> ![P( X \ge 1) = 1 - [ ^{n}C_0 * (0.15 )^0 * (1- 0.15)^{n-0}] > 0.95](https://tex.z-dn.net/?f=P%28%20X%20%5Cge%201%29%20%3D%201%20-%20%5B%20%5E%7Bn%7DC_0%20%2A%20%20%280.15%20%29%5E0%20%2A%20%20%281-%200.15%29%5E%7Bn-0%7D%5D%20%3E%200.95)
=> ![1 - [1 * 1* (0.85)^{n}] > 0.95](https://tex.z-dn.net/?f=%201%20-%20%5B1%20%20%2A%20%201%2A%20%20%280.85%29%5E%7Bn%7D%5D%20%3E%200.95)
=> ![[(0.85)^{n}] > 0.05](https://tex.z-dn.net/?f=%20%20%5B%280.85%29%5E%7Bn%7D%5D%20%3E%200.05)
taking natural log of both sides
![n = \frac{ln(0.05)}{ln(0.85)}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7Bln%280.05%29%7D%7Bln%280.85%29%7D)
=> ![n = 19](https://tex.z-dn.net/?f=n%20%3D%2019)