Probability problems based on normal distribution

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Reference no: EM1321068

Question: It has been found that times taken by people to complete a particular tax form follow a normal distribution with a mean of 100 minutes & a standard deviation of 30 minutes.
[A] Four people are chosen at random. Find the probability that exactly two of them take longer than an hour to complete this form?
[B] For a randomly chosen person, state in which of the following ranges [expressed in minutes] the time to complete the form is most likely to lie. 70-89, 90-109, 100-129, 130-149
[C] For a randomly chosen person, state in which of the following ranges [expressed in minutes] the time to complete the form is least likely to lie. 70-89, 90-109, 110-129, 130-149
[D] What is the probability that a randomly chosen person takes less than eighty-five minutes to complete this form?
[E] What is the probability that a randomly chosen person takes between 70 and 130 minutes to complete this form?
[F] 5% of all people take more than how many minutes to complete this form?
[G] 2 people are chosen at random. What is the probability that at least one of them takes more than an hour to complete this form?

Reference no: EM1321068

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