Adance studio teaches students a contemporary dance form. it is observed that the probability of students from this studio becoming dance teachers is 0.69. an event management company wants to use this studio for a show. they decide to observe it for a year before making the deal. they enroll 120 students of their own in this studio and decide that once 75 of them get jobs as dance teachers, they will sign the contract with them. what is the probability that the event management company will sign the contract with the dance studio?

The scenario that the event management enters a contract with the dance studio is bounded by binomial probability, such that the success of 75 random students is put on a trial. The probability that they sign the contract is 0.0238.

Given that:

-- all students that enrolled

--- the selected students

--- proportion that become dance teachers

The question is an illustration of binomial probability, and it is represented as:

The probability that 75 becomes dance teacher is represented as: P(75)

And it is calculated as follows:

--- Approximate

Hence, the probability that the event management signs the contract is: 0.0238

Read more about binomial probability at:

link

sine

step-by-step explanation:

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step-by-step explanation: