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Transportation officials tell us that 60% of drivers wear seat belts while driving. Find the probability that more than 562 drivers in a sample of 900 drivers wear seat belts.

Sagot :

The  probability that more than 562 drivers is 0.9328

What is probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given: p = 0.60

n = 900

Let X denote the number of drivers that wear a seat belt,

P(X > 562)

[tex]\mu[/tex] = n*p = 900(0.60) = 540

[tex]\sigma^{2}[/tex]= n*p*(1-p)

=900*0.60*0.40

=216

P(X >562) = Pr( Z > 1.4976)

                = 0.9328

Hence, the probability that more than 562 drivers is 0.9328

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