the probability that a man who is 45 years old will be alive till he becomes 70 is `5/12`. the probability that his wife who is 40 years old will be alive till she becomes 65 is `3/8`. what is the probability that, 25 years hence, none of them will be alive
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`.
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 % heart transplant recipients can now days expect nearly a 90% 1 yr survival and 75% at 5 years. this therapy is for patients with end stage heart failure who otherwise have a poor quality of life and limited prognosis without transplant or lvad. see more... Total no. of possible outcomes = 30 {1, 2, 3, … 30}  

  

E ⟶ event of getting no. divisible by 3.  

  

No. of favourable outcomes = 10 {3, 6, 9, 12, 15, 18, 21, 24, 27, 30}  

  

Probability, P(E) = (No.of favorable outcomes)/(Total no.of possible outcomes)  

  

P(E) = 10/30 = 1/3  

  

Bar E ⟶ event of getting no. not divisible by 3.  

  

P(Bar E) = 1 – P(E)  

  

= 1 - 1/3 = 2/3 a thousand years from now, yes. a million years from now, probably not. 25 years as per the question:
modal class = 35 -45
l = 35
h = 10
f1 = 23
f0 = 21
f2 = 14

= 

= 36.8
the above given data can be represented in the form of table as below:



= 35.37
the mode of the data shows that maximum number of patients in the age group of 36.8, whereas the average age of all the patients is 35.37. the ratio of present ages of raman and salman is 4 : 5. after 5 years the ratio of ages of salman and karan will be 5 : 4. what is the difference (in years) in present age of raman and karan?रमन और सलमान की वर्तमान आयु का अनुपात 4 : 5 है। 5 वर्ष बाद, सलमान और करन की आयु का अनुपात 5 : 4 होगा। रमन और करन की वर्तमान आयु (वर्षों में) में अंतर कितना है?&nbsp; given : let a , b and c be three students whose chances of solving a problem is given i.e , p(a) = , p(b) = and p(c) = . p() = , p() = and p()= to find: the probability that the problem is solved .here , p(the problem is solved) = 1 - p(the problem is not solved)= 1- p( )= 1 – [p( ) p( ) p( )]= 1- []= 1 - = therefore , the probability that the problem is solved is . go and see him, it can be fatal. infections can lead to septicaemia... having had surgery his immunity will be weak, you really should go and see him if you want to. i don't want to be pessimistic, but at the age of 80 he's not going to bounce back. How new and fresh is the relationship? That shouldn't decide this answer but for me it does. I can't wait to see the woman again if its after a good 1st date. Towards the end of my five year marriage, she couldn't stay away long enough. Sad but true.