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
Answer:
1 and 22/28 = 1 and 11/14
Step-by-step explanation:
<h2>6/4= 42/28</h2><h2>2/7= 8/28</h2><h2 /><h2>8/28 + 42/28 = 50/28</h2><h2 /><h2>50/28= 1 and 22/28 simplifies to 1 and 11/14</h2>
Answer:
-2 * 3 is equal to 43
Step-by-step explanation:
Time taken by Ella is 0.6 hour
<u>Solution:</u>
Lily finished a task in 
hour
Ella finished it in 
of time Lily took
<em><u>To find: time taken by Ella to finish the task</u></em>
Let "L" be the time taken by Lily
Time taken by Lily = L = 
From given statement,
Time taken by Ella to finish the task is of time Lily took
Therefore,
Time taken by Ella = of time taken by Lily
Thus time taken by Ella is 0.6 hour
Speed of tsunami = sqrt (9.8d) m/s where d is the depth of the ocean.
Given speed of tsunami to be 320 m/s, depth of the ocean is calculated as follows:
320=sqrt (9.8d) => 320^2 = 9.8d => d= (320^2)/9.8 = 10448.98 m
To nearest meter, d=10449 m
