statistics

John drives to work each morning and the trip takes an average of  = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of  = 5 minutes. For a randomly selected morning, what is the probability that John's drive to work will take between 36 and 40 minutes?

  1. 👍
  2. 👎
  3. 👁
  1. Use z-scores.
    Find two z-scores using this formula:
    z = (x - mean)/sd

    Mean = 38
    Sd = 5

    Use 36 for x to determine first z-score.
    Use 40 for x to determine second z-score.

    Once you have both z-scores, check a z-table for the probability between the two scores.

    I hope this will help get you started.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Statistics

    John drives to work each morning and the trip takes an average of μ = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of σ = 5 minutes. For a randomly selected morning, what is the

  2. math

    John drives to work each morning and the trip takes an average of µ = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of σ = 5 minutes. For a randomly selected morning, what is the

  3. Math

    When Sarah takes the bus to work, the trip takes 30 minutes. When she takes the train to work, the trip takes 20 minutes. The average speed to the train is 15 mph faster than the speed of the bus. Find the distance to work.

  4. Algebra Continued

    2)A motorboat leaves a dock and travels at an average speed of 15mi/h toward an island. The average speed on the return trip is 10mi/h. How far is the island from the harbor if the total trip takes 5h? (HInt-first find the 2

  1. Science

    Two drivers start at the same time to make a 100- km trip. Driver 1 takes 2 hrs to complete the trip. Driver 2 Thames 3 hrs, but stops for an hour at the halfway point. Which driver had a greater average speed for the whole trip?

  2. physics

    A commuting student leaves home and drives to school at an average speed of 41.0 km/h. After 24.0 min she realizes that she has forgotten her homework and returns home to get it at the same average speed. It takes 9.0 min to find

  3. physics

    A commuting student leaves home and drives to school at an average speed of 42.0 km/h. After 20.0 min he realizes that he has forgotten his homework and returns home to get it at the same average speed. It takes 7.0 min to find

  4. Science

    On page 111 of your reading material there is a problem that requires you to calculate the average speed for a daylong bus trip. The rest stops the driver made are included in the calculations because that is how the problem is

  1. physics

    You normally drive on the free way between kidapawan and davao at an average speed of 105km/hr (65mi/hr) and the trip takes 2hr and 20minutes on a friday afternoon,however heavy traffic slows you down and you drive the same

  2. Precalculus

    Rosea drives her car 30 kilometers to the train station, where she boards a train to complete her trip. The total trip is 120 kilometers. The average speed of the train is 20 kilometers per hour faster than that of the car. At

  3. english

    it is a conversation between two friends about their journey to London. John asked Lee what he talked with the travel agent regarding their journey to London. Then, Lee told that the agent informed him that it takes some more

  4. physics

    A person takes a trip, driving with a constant speed 94 km/h except for a 83 min rest stop. If the person's average speed is 70 km/h, how far is the trip? Answer in units of km

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