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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

Respuesta :

Answer:

Probability of making atleast one hire is 0.94

Step-by-step explanation:

Given data:

Assuming X as random variable

[tex]P(X \geq 2) = 45\%[/tex]

[tex]P(X \geq 0 ) = 6\%[/tex]

[tex]P(X \geq = 3) = 11\%[/tex]

Probability of making atleast one hire

[tex]P(X \geq a) =1 - P(X < a)[/tex]

then

[tex]P(X \geq 1 ) = 1 - P(X < 1)[/tex]

                   [tex]= 1 - P(X = 0)[/tex]

                    = 1 - 0.06

                    =0.94          

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