statistics

The time it takes Jessica to bicycle to school is normally distributed with an average of a third of an hour and a variance of 9 minutes. Jessica has to be at school at 8:15 am. What time should she leave the house so she will be late on 5% of the time?

  1. 👍 0
  2. 👎 0
  3. 👁 253
  1. Z = (score-mean)/SD

    1/3 hour = 20 minutes

    Variance = SD^2

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion .05 and insert its Z score in the equation above with the other data. Find difference from 8:15.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calc 3

    Jessica and Matthew are running toward the point P along the straight paths that make a fixed angle of θ (Figure 1). Suppose that Matthew runs with velocity va (m/s) and Jessica with velocity vb (m/s). Let f(x,y) be the distance

    asked by ally on October 3, 2018
  2. college algebra

    Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per bicycle is given by​ C(x) =0.1x^2−1.4x+8.096​, where​ C(x) is in hundreds of dollars. How many bicycles should the shop

    asked by marie on March 24, 2017
  3. math

    A group of 10 students are on a field trip when their bus breaks down 40 miles away from the school. A teacher takes 5 of them back to school in her car, travelling at an average speed of 40 miles per hour. The other 5 students

    asked by JP on June 30, 2020
  4. algebra

    Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle =0.9x^2-1.7x+10.861, when C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average

    asked by Becky on March 5, 2008
  5. Algebra

    Maria bicycles 6km/h faster than Praedup. In the same time it takes Praedup to bicycle 54km, Maria can bicycle 72km. How fast does each bicyclist travel?

    asked by Sandi on March 2, 2013
  1. ALGEBRA

    Maria bicycles 7 km/h faster than Carlos. In the same time, it takes Carlos to bicycle 42km, Maria can bicycle 63km. How fast does each bicyclist travel?

    asked by GGIFT on March 10, 2010
  2. math

    Jodie bicycles 6 km/h faster than Javier. In the same time it takes Javier to bicycle 42km, Jodie can bicycle 60 km. How fast is each bicyclist traveling?

    asked by Terry on March 11, 2012
  3. Physics

    1. A rabbit and a turtle are practicing for their big race. The rabbit covers a 30.0 m practice course in 5.00 seconds; the turtle covers the same distance in 120 seconds. If the actual race is run on a 96.0 m course, by how many

    asked by Piper on June 18, 2014
  4. math

    in a primary school 70% of the boys and 55% of the girls can ride a bicycle. if a boy and a girl are chosen at random what is the probability that both of them can ride a bicycle

    asked by unice on September 12, 2018
  5. math

    Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ (lambda) = 0.5. What's the probability that a repair takes less than 5 hours? AND what's the

    asked by raksha on October 28, 2007

You can view more similar questions or ask a new question.