The time GWU students in G-Street gym is normally distributed with of 50 minutes

Question

The time GWU students in G-Street gym is normally distributed with of 50 minutes and a standard deviation of 9 minutes. What is the probability of time a selected student spending more than 60 minutes in the gym? _____ Suppose 45 of 55 students in our class regularly go to G-Street Gym is the probability that between 10 to 20 students spend more than 60 minutes in the gym? _____ You are one of students who regularly go to G-Street gym. If you spend 40 minutes in gym what is your percentile ranking? _____ When you went to gym, your friend in the dorm said that she will wait exactly 70 you before going to a movie alone. What is the probability that she went to the movie alone? _____ A radar unit is used to measure speeds of cars on Route 66. The speeds are normally distributed with a mean of 60 miles/hr and a standard deviation of 10 miles/hr. What is the probability that a car picked at random is travelling at more than 75 miles/hr? A) 0.66 B) 0.50 C) 0.0.067 D) 0.00 E) _____

Explanation / Answer

3)P(X>60)=P(Z>1.1111)=0.1333

4)from, binomial P(10<X<20) =0.06899

5)P(X<40) =P(Z<-1.1111)=0.1333 hence 13.33 perncentile

7)P(X>75) =P(Z>1.5)=0.067

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