Answer to Question #840 in Statistics and Probability for jasmine




 A new Firestone tire is guaranteed to last for 40,000 miles. The actual mean life of the tires is 47,000 miles with a standard deviation of 4,000 miles.

a) What percent of the tires will last for at least 40,000 miles?
b) What percent of the tires will not last for at least 40,000 miles?
c) What is the probability that a tire will last for more than 50,000 miles?
d) The Firestone Company wants to advertise how long some of their tires last. They decide to state how long the top 3% of their tires will last. How many miles will the top 3% of their tires last?
a) Let's find z - score:  
z = (x-mu)/sigma = (40,000-47,000)/4,000 = - 1.75  
p-value for z = 1.75 is 0.0401, for estimating the percent of the tires which last for at least 40,000 miles we have to consider right side of the distribution:  
P(x > 40,000) = (1-P(x < 40,000))*100% = 95.99 %  
  
  
b) the percent of the tires which are not last for at least 40,000 miles would be equal to P (x < 40,000) = 0.0401*100% = 4.01 %;  
c) for more than 50,000 miles   
z = (50,000-40,000)/4,000 = 2.5  
the probability would be  
P(x>50,000) = 00.62 %
hii..

according to me,the cut off will be around 90-95 marks for general category,50-55 marks for obc category,35-40 marks for sc category and 25-30 marks for st category.so it is difficult to be predict now.

please see the table below for previous years trends:-

 

jee main cut off trends (2013-2017)

| s.no. | category | 2017 | 2016 | 2015 | 2014 | 2013 |
| 1 | general | 81 | 100 | 105 | 115 | 113 |
| 2 | obc-ncl | 49 | 70 | 70 | 74 | 70 |
| 3 | sc | 32 | 52 | 50 | 53 | 50 |
| 4 | st | 27 | 48 | 44 | 47 | 45 | "insurance companies view older, new drivers just as high risk as younger, new drivers. the reason why older drivers have better rates is typically because they've been driving longer. 
 
older drivers are often able to prove to insurance companies that they're reliable. a new driver hasn't had that experience, so insurance companies are taking on more risk by insuring them.
 
additionally, since you live in a large city, your rates will normally be higher than a suburb or smaller town. 
 
to find out what your rate will be, you'll want to request [car insurance quotes](https://getjerry.com/car-insurance) from different carriers. this will give you a good idea of how much you'll be paying in car insurance. 
 
while your rates may be high to begin with, your rates should begin to decrease if you maintain insurance and a clean driving record." it's very common for the tps to fail. their cheap and easy to fix.

mine went bad when my jeep was only 2 years old. i got a replacement one for around $40. this depends upon the type of trekking and which route your are going for trekking, but usually not more than seven hours per day. once you reach to 3000m you will walk for six hours. let a ≡ event that man who is 45 will be alive till age 70. b ≡ event that wife who is 40 will be alive till age 65. it is given that, p(a) = `5/12`, p(b) = `3/8` ∴ p(a') = 1 – p(a) = `1 - 5/12 = 7/12` ∴ p(b') = 1 – p(b) = `1 - 3/8 = 5/8` a, b are independent ∴ a, b'; a', b; a', b' are also independent p(none of them will be alive) =p(a' ∩ b') = p(a')·p(b') = `7/12*5/8` = `35/96`. v = (4/3)πr³ 

dv/dt = 4πr².dr/dt

so, when the diameter is 20 cm we have:

-4π = 4πr².dr/dt

hence, dr/dt = -1/r²

i.e. dr/dt = -1/10² => -1/100

now, d = 2r

so, d(d)/dt = 2.dr/dt

=> d(d)/dt = -1/50 cm/hour

or, -0.2 mm/hour

:)> let the speed of train = x km /hlet the speed of car = y km/hcase 1 : 120 km by train and 480 by cartime taken to travel 120 km by train = 120x hrstime taken to travel 120 km by car = 480x hrsaccording to first condition :120x + 480y = 8⇒1x + 4y = 115     
1case 2 : 200 km by train and 400 by cartime taken to travel 200 km by train = 200x hrstime taken to travel 400 km by car = 400x hrsaccording to second condition :    200x + 400y = 82060 = 813 = 253         as, 20 min = 2060 hr = 13 hr⇒1x + 2y = 124     
2subtracting 2 from 1, we get      2y = 115 - 124⇒2y = 8-5120⇒y = 80now, from 1, we get    1x + 480 = 115⇒1x = 11 - 120 = 160⇒x = 60so, speed of train = 60 km/hspeed of car = 80 km/h a thousand years from now, yes. a million years from now, probably not. I'll assume you mean how much actual time would be served on a particular sentence... it starts with "good time credits" that are applied to the sentence calculator a the beginning of the sentence. An inmate can only lose that good time by having behavior issues or breaking numerous rules. In federal you get 15%, state prison ranges from 15-30% good time. The difference with the state is that they're also dealing with a parole system too that can release an offender having done only one-third of their sentence. 1. the expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165.  so that's what the premium would have to be in order to get a profit of 0.
 
2. the profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.
 
3. the expected profit on 375 policies would be 375 * 185 = $69375