Question

A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 45% chance of hiring at least two candidates. There is only a 6% chance that it will not make any hires and a 11% chance that it will make all three hires. a. What is the probability that the firm will make at least one hire

Answer 1

Probability of making atleast one hire is 0.94

Explanation:

Given data:

Assuming X as random variable

`P(X \geq 2) = 45\%`

`P(X \geq 0 ) = 6\%`

`P(X \geq = 3) = 11\%`

Probability of making atleast one hire

`P(X \geq a) =1 - P(X < a)`

then

`P(X \geq 1 ) = 1 - P(X < 1)`

`= 1 - P(X = 0)`

= 1 - 0.06

=0.94