Question

4. Let x be a random variable that represents the length of time it takes a student to complete a chemistry lab project. From

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

4)
P(X >= 4.5) = P(z <= (4.5 - 3.6)/0.5)
= P(z >= 1.8)
= 1 - 0.9641
= 0.0359

5)
Here, μ = 3.6, σ = 0.5/sqrt(6) = 0.2041 and x = 3.
We need to compute P(X >= 3). The corresponding z-value is calculated using Central Limit Theorem

z = (x - μ)/σ
z = (3 - 3.6)/0.2041 = -2.94

Therefore,
P(X >= 3) = P(z <= (3 - 3.6)/0.2041)
= P(z >= -2.94)
= 1 - 0.0016
= 0.9984

Add a comment
Know the answer?
Add Answer to:
4. Let x be a random variable that represents the length of time it takes a...
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
  • let x be the random variable that represent the lenght of time it takes a student...

    let x be the random variable that represent the lenght of time it takes a student to complete maths 23 exam. it was found that x has an approximately normal distribution with mean 1.5 hours and standard deviation =025 hours. (a) what is the probability that it takes at least 1.4 hours for a randomly selected student to complete the exam? (b) suppose 25 students are selected at random,what is the probability that the mean time x of completing the...

  • The random variable X is exponentially distributed, where X represents the time it takes for a...

    The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 25 minutes, what is the probability that X is less than 31 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)

  • The random variable X is exponentially distributed, where X represents the time it takes for a...

    The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 21 minutes, what is the probability that X is less than 26 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)

  • The random variable X is exponentially distributed, where X represents the time it takes for a...

    The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 22 minutes, what is the probability that X is less than 25 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)

  • The random variable X is exponentially distributed, where X represents the time it takes for a...

    The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes, what is the probability that X is less than 29 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)

  • The length of time it takes a car salesperson to close a deal on a car...

    The length of time it takes a car salesperson to close a deal on a car sale is assumed to be normally distributed. A random sample of 100 such times was selected which yielded a mean of 3 hours and variance of 0.5 hour. The 98 percent confidence interval for the mean length of time it takes a car salesperson to sell a car is

  • The time it takes Alice to commute to UCSD is a Gaussian random variable X with...

    The time it takes Alice to commute to UCSD is a Gaussian random variable X with a mean of 30 minutes and a standard deviation of 3 minutes. a. What is the probability that Alice’s commute to UCSD takes at least 36 minutes? P X > 36 = b. With probability 0.9, Alice’s commute to campus takes more than 30− ∆ minutes but less than 30 + ∆ minutes. What is the value of ∆? ∆ = Note: In this...

  • please help with all. In the following probability distribution, the random variable x represents the number...

    please help with all. In the following probability distribution, the random variable x represents the number of activities a parent of a 6th-to 8th grade student is involved in. Complete parts (a) through (1) below. * 1 0 1 2 3 4 5 P(x) 0.269 0 206 0.224 0.239 0.062 (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilities is and each probability is (6) Graph the discrete...

  • In the following probability distribution, the random variable x represents the number of activities a...

    In the following probability distribution, the random variable x represents the number of activities a parent of a 6 th- to 8th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.3670.1330.2090.1160.175(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______  and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...

  • Let x denote the time it takes to run a road race. Suppose x is approximately...

    Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 195 minutes and a standard deviation of 24 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 187 minutes? Round your answer to four decimal places. Attach File Browse My Computer Browse Dropbox Browse Content Collection QUESTION 5 The GPAs of all students enrolled...

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
Active Questions
ADVERTISEMENT