Question
3. The length of time required by students to complete a 1 hour exam is a random variable with a pdf given
by:
f (x) = ca + for 0 < x <1
a. Find c. Enter c as a reduced fraction.
C =
b. Find F(x). Enter coefficients as reduced fractions and use ^ to denote powers.
Expand
Transcribed Image Text

3. The length of time required by students to complete a 1 hour exam is a random variable with a pdf given by: f (x) = ca + for 0 < x <1 a. Find c. Enter c as a reduced fraction. C = b. Find F(x). Enter coefficients as reduced fractions and use ^ to denote powers.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Probability

Probability Distributions

Related Probability Q&A

Find answers to questions asked by students like you.

Q: Could you help me solve this? A golfer putts the ball into the hole 48.7% of the time (If within 10 ...

A: Let us assume X= number of times he put the ball in the hole. Number of trials = n= 7 Probability of...

Q: Here is a table showing all  52  cards in a standard deck.   Face cards Color Suit Ace Two T...

A: The probability that the card drawn is a club can be calculated as:  

Q: Use this data set to answer the following questions. (CSLO 1,2,7) 115 184 191 216 153 185 194 183 23...

A: Given data: 115, 191, 153, 194, 236, 184, 216, 185, 183, 202 Interquartile range is a measure of whe...

Q: $5.2 .11 .$ Let $p=0.95$ be the probability that a man, in a certain age group, lives at least 5 yea...

A: Let p=0.95 is the probability that man leaves 5 or more years and sample size n=60. Let find the pro...

Q: nut Is the probability that the construction stage is over budget? I IIi the event the construction ...

A: Given: State Number of companies California 53 Illinois 32 New Jersey 21 New York 50 Oh...

Q: A restaurant critic has 10 new food trucks to try. If she tries half of them this week, what is the ...

A: The probability formula is, Probability=Number of favourable outcomesTotal outcomes A restaurant cri...

Q: Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time...

A: Given that, P(On time| A) =0.80 P(On time| B) =0.85 P(On time| C) =0.90 Airline A has twice as many ...

Q: For the following distribution -1,0,1, what is the sample variance?

A: Here the sample size is N=3 The mean of the sample is, μ=1N∑i=1NXi=-1+0+13=0

Q: Calculate a point estimate of the strength valuethat sep arates the weakest 50% of all such beamsfro...

A: Median: The median is the middle-most observation in an ordered (in an ascending or descending order...

Q: Based on the data from six students, the regression equation relating number of hours of preparation...

A: Given, Regression equation is,             y^=67.3+1.07x And Want to predict for 120 minutes, means ...

Q: A motorcycle drives from Welcome Rotonda to Fairview and back using the same course everyday. There ...

A: Hey, since there are multiple subparts posted, we will answer first three question. If you want any ...

Q: Phil Dunphy, a real estate agent, is considering whether he should list an unusual $888,891 house fo...

A: The formula for calculating the profit is  Profit =  Amount received - cost incurred  If the agent s...

Q: Are X and Y independent? Justify your answer.

A: Intuitively, two random variables X and Y are independent if knowing the value of one of them does n...

Q: The mean incubation time for a type of fertilized egg kept at a certain temperature is 24 days. Supp...

A: Let "X" be the fertilized egg that hatches.

Q: Find: (a) Give the marginal probability distribution of fx (0). (b) Give the marginal probability di...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Kaja has a dog walking business that serves 9 dogs. If she chooses 4 of the dogs at random to take a...

A: Kaja serves 9 dogs out of which 4 dogs named Cherish, Taffy, Haunter, and Maverick have to be chosen...

Q: It is known that 9 out of 10 people are right handed. Would 35 right handed people out of group of 9...

A: Let us denote X= number of right-handed people. Number of trials= n= 93 Probability of a success= p=...

Q: ABC Builder decides to apply a veneer to an external part of the building in order to protect it fro...

A: Click to see the answer

Q: In the manufacture of light emitting diode (LED), different layers of ink are on the optic lens. The...

A: Let X1 and X2 denote the thickness of two different layers of ink. Let X1~N (µ1, σ1) and X2~N (µ2, σ...

Q: A poker hand is defined as drawing 5 cards at random without replacement from a deck of 52 playing c...

A: Click to see the answer

Q: A bucket contains 10 tennis balls, 7 baseball and 9 golf ball. Suppose you pick 5 balls at random. (...

A: Given,  A bucket contains 10 tennis balls, 7 baseball and 9 golf ball. =&gt; we have 26 balls in tot...

Q: Let S={1,2,3,4} be a sample space with P(x)=kx where x is a member of {1,3}, and P(x)=k(x−1) where x...

A: Given Data: *Given sample space is: S=1,2,3,4 The given expression for the probability, when x=1,3 i...

Q: Find an approximation to the probability that the number of 2s obtained in12,000 rolls of a die are ...

A: Given : n = 12000 p = 1/6 q = 5/6  X is event that 2's obtained after rolling a die X follows binomi...

Q: 1. A fund is established for the benefit of 500 workers all age 35 with independent future life- tim...

A: GivenThe initial fund balance =FAll employees are of age 35, so number of years for them to be 65 ye...

Q: To the nearest dollar

A: The price 5 years from Today can be calculated as:   The price after 5 years will $669

Q: i just need #4. Thanks 3) You go out and collect the following estimates of earthworms / acre: 54,27...

A: Construct a 99% confidence interval for mean: The sample mean is y-bar = 58766. The sample standard ...

Q: Find the mode(s) for this lists of numbers.    7 12 14 21 23 28 28 39 45 60 7...

A: The mode of any list of numbers is the number that repeated most frequently. If there are two number...

Q: We are playing a game. I randomly say a whole number and if you guess its parity(odd or even) correc...

A: Click to see the answer

Q: You store brown stock in one-gallon batches. One serving of braised ribs requires 1.5 cups of brown ...

A: Click to see the answer

Q: On a busy day, you are heading to the office and want to reach early. You are on the wrong side of t...

A: Introduction to poisson distribution: A random variable X is said to have a poisson distribution wit...

Q: The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.If A = {0, 7, 8, 9} and B = {3, 7, 8, 9}, fi...

A: Given, The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.A = {0, 7, 8, 9} and  B = {3, 7, 8, 9...

Q: Draw a tree diagram to illustrate the sample space for rolling a six sided die and then rolling a 4 ...

A:   1)  Total number of outcomes = 6*4  Total number of outcomes = 24    

Q: Question 13

A: Click to see the answer

Q: A state makes license plates with 3 letters followed by 5 numbers. If repetitions are permitted, how...

A: Given Information: A state makes license plates with 3 letters followed by 5 numbers. If repetitions...

Q: For a standard normal distribution, find: P(z > c) = 0.9543 Find c.

A: P(z&gt;c)=0.95431-P(z≤c)=0.9543P(z≤c)=0.0457Φ(c)=0.0457c=Φ-1(0.0457)c=-1.688

Q: If you roll a fair 8-sided die 11 times, what is the probability that a 1 is rolled at least once?

A: Total number of outcomes for rolling 8 side die 11 times = 811 To determine the probability that 1 i...

Q: The mayor of a town has decided to support the development of a new highway by their town. The vote ...

A: Click to see the answer

Q: The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: You think of a number from the first twenty negative integers.What is the probability that the integ...

A: Click to see the answer

Q: Course: Artificial Intelligence Material: Probabilistic Reasoning (Bayesian Believe in Networks) *NO...

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment. Pro...

Q: 4. Assume the below life table was constructed from following individuals who were diagnosed with a ...

A: Given information: The life table for the individuals who were diagnosed with a slow-progressing for...

Q: Answer the question, considering an event to be "unusual" if its probability is less than or equal t...

A: Probability: The formula for probability of an event E is as follows:   P(E) = (number of favorable ...

Q: Exercise 2.4 (Multiplication and Total Probability Rule) Customers are used to evaluate preliminary ...

A: The law of total probability breaks up probability calculations into distinct parts. It’s used to fi...

Q: uops Solve the problem. Suppose that 4 out of 12 liver transplants done at a hospital will fail with...

A: Given , 4 out of 12 liver transplants done at a hospital will fail within a year . Probability p of ...