Question

Today, the waves are crashing onto the beach every 4.4 seconds. The times from when a...

Today, the waves are crashing onto the beach every 4.4 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.4 seconds. Round to 4 decimal places where possible. e. The probability that it will take longer than 1.58 seconds for the wave to crash onto the beach after the person arrives is P(x > 1.58) = f. Suppose that the person has already been standing at the shoreline for 0.9 seconds without a wave crashing in. Find the probability that it will take between 1.5 and 3 seconds for the wave to crash onto the shoreline. g. The longest 42% percent of the time a person will wait before the wave crashes is at least how long? seconds. h. nd the minimum for the upper quartile. seconds. ??

Homework Answers

Answer #1

Let X be the time until a crashing wave is observed. T ~ Unif(0, 4.4)

e.

P(X > 1.58) = (4.4 - 1.58) / (4.4 - 0) = 0.6409091

f.

P(1.5 < X < 3 | X > 0.9) = P(1.5 < X < 3 and X > 0.9) / P(X > 0.9)

= P(1.5 < X < 3) / P(X > 0.9)

= [(3 - 1.5)/(4.4 - 0)] / [(4.4 - 0.9) / (4.4 - 0)]

= 1.5 / 3.5

= 0.4285714

g.

P(X > x) = 0.42

(4.4 - x)/(4.4 - 0) = 0.42

4.4 - x = 0.42 * 4.4

x = 4.4 - 1.848 =  2.552 seconds

h.

For upper quartile, Q3

P(X < x) = 0.75

(x - 0) / (4.4 - 0) = 0.75

x = 0.75 * 4.4 =  3.3 seconds

Know the answer?
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
Similar Questions
Today, the waves are crashing onto the beach every 6 seconds. The times from when a...
Today, the waves are crashing onto the beach every 6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 6 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 3.3 seconds after the person arrives is P(x = 3.3) = d. The probability...
Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a...
Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible. The mean of this distribution is_______ The standard deviation is_______ The probability that wave will crash onto the beach exactly 2.4 seconds after the person arrives is P(x = 2.4) = _______ The probability that the wave...
Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a...
Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible. The standard deviation is ______ it is not (1.529) the mean is 2.65 The probability that it will take longer than 3.66 seconds for the wave to crash onto the beach after the person arrives is P(x...
1)Today, the waves are crashing onto the beach every 5.6 seconds. The times from when a...
1)Today, the waves are crashing onto the beach every 5.6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.6 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is   c. The probability that wave will crash onto the beach exactly 0.4 seconds after the person arrives is P(x = 0.4) =   d. The probability...
A bus comes by every 11 minutes. The times from when a person arives at the...
A bus comes by every 11 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 11 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. The mean of this distribution is 5.50 Correct The standard deviation is 3.1754 Correct The probability that the person will wait more than 4 minutes is 0.6364 Correct Suppose that the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT