Question

A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after

0 0
Add a comment Improve this question Transcribed image text
Answer #1

(d)

Question asked:

What is the probability that the lecture continues for at least 90 seconds beyond the end of the hour?

Answer:

90 seconds = 1.5 minutes

Р(X > 1.5)— 0.375л? da 1.5

=\frac{x^{3}}{8},

between limits 1.5 to 2

Applying limits, we get:

P(X\geq 1.5)=\frac{1}{8}(2^{3}-1.5^{3})=\frac{1}{8}(8-3.375)=0.5781

So,

Answer is:

0.5781

Add a comment
Know the answer?
Add Answer to:
A college professor never finishes his lecture before the end of the hour and always finishes...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1. A college professor never finishes his lectures before the end of the hour but always...

    1. A college professor never finishes his lectures before the end of the hour but always finishes his lectures within 5 minutes after the hour. Let X = the amount of over-time the professor lectures for, with pdf (probability density function) kx2 0 < x < 5 otherwise a. Find the value of k and draw the corresponding density curve between 0 and 5. (Remember that the total area under the graph of f(x) is 1.) b. Which of the...

  • Suppose a professor never finishes his lecture before the end of the hour but always finishes...

    Suppose a professor never finishes his lecture before the end of the hour but always finishes within 4 minutes after the end of the hour. Let X - (elapsed time between end of hour and end of lecture) have the following probability density function: f(x) = kx for (0 SXS 4) with f(x) = 0 otherwise. a.) Determine the value of k. (Give decimal answer to three places past decimal.) Submit Answer Tries 0/2 b.) What is the probability the...

  • Prof. Alil lways finishes his lectures within 2 min after the official cdass end tme. Let...

    Prof. Alil lways finishes his lectures within 2 min after the official cdass end tme. Let X be a RV denotes the time that elapses between the official 0 otherwise Find the probability that Prof. Ali finishes his dlass within 1 he finishes his class within 1 min only one time. min? And,if Prof. Alil has 4 lectures this month, find the probability that within this month O 0.125 and 0.335 0.037 and 0.1323 0 0016 and 0.0596 O 0.008...

  • "Time headway" in traffic flow is the elapsed time between the time that one car finishes...

    "Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X = the time headway for two randomly chosen consecutive cars on a freeway during a period of heavy flow (sec). Suppose that in a particular traffic environment, the distribution of time headway has the following form. k. X > 1 f(x) = 6 10 X51 (a)...

  • Let X denote the amount of time a book on two-hour reserve is actually checked out,...

    Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following:\(F(x)= \begin{cases}0 & x<0 \\ \frac{x^{2}}{4} & 0 \leq x \leq 2 \\ 1 & 2 \leq x\end{cases}\)Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 1).(b) Calculate P(0.5 ≤ x ≤ 1).(c) Calculate P(x>1.5).(d) What is the median checkout duration \tilde{μ} ?...

  • Will rate! Let X denote the amount of time a book on two-hour reserve is actually...

    Will rate! Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following F(x) - Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places) (a) Calculate P(X s 1). (b) Calculate P(0.5 s X s 1). (c) Calculate P(x > 1.5). (d) what is the median checkout duration μ? [.olve o.s-r(p)]. (e) Obtain the probability density...

  • Let X denote the amount of time a book on two-hour reserve is actually checked out

    Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. \(F(x)= \begin{cases}0 & x<0 \\ \frac{x^{2}}{25} & 0 \leq x<5 \\ 1 & 5 \leq x\end{cases}\)Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 2)(b) Calculate P(1.5 ≤ x ≤ 2).(c) Calculate P(X>2.5).(d) What is the median checkout duration \tilde{μ} ? [solve 0.5=F(\tilde{μ})].(e) Obtain the density function f(x).f(x)=F'(x)=(f)...

  • You roll a six-sided die. Find the probability of each of the following scenarios. (a) Rolling...

    You roll a six-sided die. Find the probability of each of the following scenarios. (a) Rolling a 6 or a number greater than 3 (b) Rolling a number less than 4 or an even number (c) Rolling a 4 or an odd number (a) P(6 or number> 3)- (Round to three decimal places as needed) (b) P/1 or 2 or 3 or 4 or 6)-( Round to three decimal places as needed.) (c) P(4 or 1 or 3 or 5)...

  • rate 1. True or False? Explain: a. If a car's speedometer is constant, then the car...

    rate 1. True or False? Explain: a. If a car's speedometer is constant, then the car cannot be accelerating. b. Ifan =0 for a moving object, then the object cannot be accelerating. c. The arc length of a space curve depends on the parameterization. d. The curvature of a circle is the same as its radius. e. The normal component of acceleration is a function of both speed and curvature. 2. Projectile Motion: A projectile is launched with an initial...

  • Page 1 Question 1 Suppose we take repeated random samples of size 20 from a population...

    Page 1 Question 1 Suppose we take repeated random samples of size 20 from a population with a Select all that apply. mean of 60 and a standard deviation of 8. Which of the following statements is 10 points true about the sampling distribution of the sample mean (x)? Check all that apply. A. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. B. The distribution will be normal as...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT