The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable that is uniformly distributed) between 27 and 60 minutes. One student is selected at random. Find the probability of the following events. A. The student requires more than 55 minutes to complete the quiz. B. The student completes the quiz in a time between 33 and 37 minutes. C. The student completes the quiz in exactly 41.34 minutes.

The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable that is uniformly distributed) between 27 and 60 minutes. One student is selected at random. Find the probability of the following events. A. The student requires more than 55 minutes to complete the quiz. B. The student completes the quiz in a time between 33 and 37 minutes. C. The student completes the quiz in exactly 41.34 minutes.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Predict whether the given scenario/computation shown below is certain, likely, even chance, unlikely, or impossible to occur. Use the provided probability scale to plot the given items. There should be THREE ANSWERS each number Note: The probability, the term (certain, likely, etc.) and the probability scale. 1. In rolling two dice, what is the probability of landing same numbers? 2. A jar contains 12 marbles: 4 red, 5 blue, and 3 orange. If you pull 3 marbles without replacement, what is the probability of getting all three colors in the order of blue, orange, red? What is the probability of getting all orange? 3. Find the probability of getting 53 Sunday in a leap year. 4. A lot of 24 bulbs contains 25% defective bulbs. A bulb is drawn at random from the lot. It is found to be not defective and it is not put back. Now, one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?
A pair of fair dice is rolled. Let X the random variable representing the sum of numbers that appear.
Find the mean of the given probability distribution. A police department reports that the probabilities that 0,1,2 and 3 burglaries will be reported in a given day are 0.48,0.41,0.10,and 0.01 respectively.
Construct a probability distribution for tossing two coins. Let x represents the number of tails.
Every business day, Michael's alarm goes off at 06:30. The probability he hits the snooze button is 20%. a. Give the discrete probability distribution for the event that Michael's alarm does or does not go off on a business day. What type of random variable is this? Explain. b. In 8 business days, what is the probability Michael hits the snooze button at least one time? c. In 80 business days, how many times would we expect Michael to hit the snooze button? What is the associated variance?
The table shows the distribution, by age and gender, of the 28.5 million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone. Male Female Total Attempted Ages Ages Ages Ages Ages Ages 18-24 25-34 35-44 45-64 65-74 275 Total 0.9 2.3 2.4 0.7 1.5 1.2 1.6 3.8 3.6 4.6 1.4 1.5 4.8 6.3 5.0 2.2 9.6 3.6 BECER 13.1 15.4 28.5 The probability is (Type an integer or decimal rounded to the nearest hundredth as needed.)
George buys six lottery tickets for $2 each. In addition to the grand prize, there is a 20% chance that each lottery ticket gives a prize of $4. Assume that these tickets are not grand prize winners. a.What is the probability that the tickets are winners more than the average that George expected? b.What is the probability that none of the tickets are winners? c.What is the probability that at least one of the tickets is a winner?
Construct a probability distribution curve for the experiment and random variable. a. EXPERIMENT: Randomply picking 3 children in an orphanage with equal number of boys and girls to join a family. (B = boy ; G = girl) b. RV: Y which represents the number of girl to be picked.
IV. Solve the problem. (don't forget to attached the solution) The Xiaomi brand releases three cellphones that are tested at random. a. Construct the probability distribution of the random variable X (number of defective cellphones). Let G represent non-defective cellphones and, Let F be the defective cellphones. b. Create a histogram representing the distribution
Warren tosses 5 coins. Let A be the random variables representing the number of tails. Construct the probability distribution and draw the histogram.
1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…
The difference between a random variable and a probability distribution is that Select one: O a. a random variable include the probability of an event O b. a random variable does not include the probability of an event O c. a probability distribution can only assume whole numbers O d. a random variable can only assume whole numbers