3% x 10 years is 30%. 47 - 30% is 14.1 or 14
Answer:
The required probability is, 0.78
Step-by-step explanation:
There are, (52 - 13) = 39 cards which are not spade
5 cards can be chosen from the deck of 52 cards in
ways
and out of these 5 choices, none of them will be spade in,
ways
So,
P(None of the chosen cards is spade)
= 
Hence,
P(out of these 5 choices, at least one card is spade)
= 0.78
Answer:
7 daisies
Step-by-step explanation:
76 ÷ 4 =19
19 - 12 = 7
7 daisies
The equation is 2x (or x multiplied by 2) because if you divided 32/16 or 20/10 and so on, all answers will give you the number 2
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
