The amount of time required for a mechanic to replace a clutch is normally distributed with mean 90 minutes and standard deviation of 15 minutes. A car is taken to the mechanic to have its clutch replaced. (a) Find the probability that the car will be ready in two hours. (b) Find the probability that the car will not be ready after 80 minutes. (c) Find the probability that the car is ready in between 85 to 95 minutes.

The amount of time required for a mechanic to replace a clutch is normally distributed with mean 90 minutes and standard deviation of 15 minutes. A car is taken to the mechanic to have its clutch replaced. (a) Find the probability that the car will be ready in two hours. (b) Find the probability that the car will not be ready after 80 minutes. (c) Find the probability that the car is ready in between 85 to 95 minutes.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 1. Find the probability that a person will walt for less than 7 minutes. Round your answer to four decimal places. Answer esc If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. 1 hp angle. q a Z F @ 2 W S 320 3 e d C $ 4 r f % 5 V t g Normal Table - to-z Normal Table - to z 6 O Oll b y hp h & 7 O n u J - * 8 N O i m 9 k * O : Tables ctrl Keypa Keyboard Shortc Submit Answer { D + = ? Oct 27 11 } 5:21 8 back 1 USE YOUR SMARTIN Reviews - Videog Spass Sun
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3335 grams and a standard deviation of 632 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 3840 grams. Round your answer to four decimal places.
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 26 hours and the mean lifetime of a bulb is 570. Find the probability of a bulb lasting for at least 603 hours (Round your answer to four decimal places) CS Scanned with CamScanner
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n = . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who the occupation of firefighter has very great prestige, so f = (0.6096 answer is incorrect.) .
A certain type of cancer is known to exist in 2 percent of the population of the males in their fifties. A test for the disease has been is advertised by a pharmaceutical company to have sensitivity 0.97 and specificity 0.95. A male is randomly selected from this population, and tested. The test result is negative. First determine the probability this male has the cancer.
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3811 grams and a standard deviation of 442 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be between 3590 and 4429 grams. Round your answer to four decimal places.
Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b) If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c) If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb
The scores in a large Algebra class are normally distributed with a mean of 65 and a standard deviation of 11. If a random sample of 25 students is selected, find the probability that the sample mean will be between 63 and 70.
The weights of steers in a herd are distributed normally. The variance is 40,000 and the mean steer weight is 1400lbs. Find the probability that the weight of a randomly selected steer is between 1537lbs and 1679lbs Round your answer to four decimal places.
An electrical firm manufactures incandescent light bulbs that have a length of life (in hours) that is normally distributed. If the mean and standard deviation length of life of all lightbulbs produced are 1250 hours and 300 hours respectively, find the probability that a randomly selected bulb will last less than 1100 hours. Do NOT round off until you arrive at the FINAL ANSWER. Round off final answer to 3 decimal places example: (1.234)
What is the answer