Question

High temperatures in a certain city for the month of August follow a uniform distribution over...

High temperatures in a certain city for the month of August follow a uniform distribution over the interval 70 to 90 What is the probability that a randomly selected August day has a high temperature that exceeded 75

Homework Answers

Answer #1

Let X denote the temperature in a certain city for the month of August.

then, the pdf of X is given by,

     

  

  

Thus, the probability that a randomly selected August day has a high temperature that exceeded 75 is 0.75.

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
5. Suppose x is a random variable best described by a uniform probability distribution with C=30...
5. Suppose x is a random variable best described by a uniform probability distribution with C=30 and D=110 Find P(X > 94) 6. Suppose x is a random variable best described by a uniform probability distribution with C=40 and D=100 Find P(X < 88) 7. Suppose x is a uniform random variable with c = 30 and d = 110. Find P(x < 46). 11. High temperatures in a certain city for the month of August follow a uniform distribution...
The following data represent the high-temperature distribution for a summer month in a city for some...
The following data represent the high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c). Temperature: 50-59 60-69 70-79 80-89 90-99 100-109 Days: 2 306 1470 1529 311 9 mean = ___________ standard deviation = _______________ (b) Use the frequency histogram of the data to verify that the distribution is bell shaped. ____ No, the frequency histogram of the data is not bell...
Summer high temperatures are distributed normally with a mean of 99.9 and a standard deviation of...
Summer high temperatures are distributed normally with a mean of 99.9 and a standard deviation of 3.7. NOTE: Round your z − score to 2 decimal places before calculating a probability. What is the summer high temperature that is the 89 th percentile of this distribution? 95.4 104.4 96.6 103.2 None of the above What is the probability that a randomly selected summer day has a high temperature of 101? 0.3 0 -0.3 0.3821 0.6179 What is the probability that...
For the month of February in a certain​ city, 35​% of the days are cloudy. Also...
For the month of February in a certain​ city, 35​% of the days are cloudy. Also in the month of February in the same​ city, 24​% of the days are cloudy and rainy. What is the probability that a randomly selected day in February will be rainy if it is cloudy​?
Temperatures in LA. The average daily high temperature in March in Los Angeles is 70 degrees...
Temperatures in LA. The average daily high temperature in March in Los Angeles is 70 degrees Fahrenheit with a standard deviation of 5 degrees Fahrenheit. Suppose that the temperatures in March closely follow a normal distribution. Round calculated answers to 4 decimal places. 1. What is the probability of observing an 75 degrees Fahrenheit temperature or higher in Los Angeles during a randomly chosen day in March? .1586 2. How cold are the coldest 5% of the days during March...
The following data represent the​ high-temperature distribution for a summer month in a city for some...
The following data represent the​ high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts​ (a) through​ (c). Temperature ​50-59 ​60-69    ​70-79    ​80-89 ​90-99 ​    100-109    Days 4 301    1433    1520 355    14 a. approximate the mean and the standard deviation for temperature.
The following data represent the​ high-temperature distribution for a summer month in a city for some...
The following data represent the​ high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts​ (a) through​ (c). Temperature ​50-59 ​60-69 ​70-79 ​80-89 ​90-99 ​100-109 Days 3 315 1415 1494 449 13 ​(a) Approximate the mean and standard deviation for temperature.
The high temperature in Chicago for the month of August is normally distributed with a mean...
The high temperature in Chicago for the month of August is normally distributed with a mean of 80 degrees  F and a standard deviation of 8 degrees F. What is the probability that a random sample of 16 days in August will have an average high temperature below 75 degrees ?
In Matlab: A list of average monthly high temperatures for the city of Monroe Louisiana is...
In Matlab: A list of average monthly high temperatures for the city of Monroe Louisiana is given below: Month Temperature (in◦F) January 56 February 60 March 69 April 77 May 84 June 90 July 94 August 94 September 88 October 79 November 68 December 58 For convenience, label January as 1, February as 2, and so forth. Then fit a quadratic and fourth-degree polynomials through these data on the same figure window. Include the label and a legend. Based on...
The daily high temperature in Winnipeg during the month of January is known to follow a...
The daily high temperature in Winnipeg during the month of January is known to follow a normal distribution with a mean of −20◦C. It is also known that 95% of all daily high temperatures in Winnipeg during the month of January are between −32◦C and −8◦C. What is the approximate value of σ?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT