The question is incomplete. Here is the complete question.
Nite Time Inn has a toll-free telephone number so that customers can call at any time to make a reservation. A typical call takes about 4 minutes to complete, and the time required follows an exponential distribution. find the probability that a call takes
a) 3 minutes or less
b) 4 minutes of less
c) 5 minutes of less
d) Longer than 5 minutes
e) Longer than 7 minutes
Answer: a) P(X<3) = 0.882
b) P(X<4) = 0.908
c) P(X<5) = 0.928
d) P(X>5) = 0.286
e) P(X>7) = 0.174
Step-by-step explanation: <u>Exponential</u> <u>distribution</u> is related with teh amount of time until some specific event happens.
If X is a continuous random variable, probability is calculated as:
in which:
m is decay parameter, given by:
For the Nite Time Inn calls:
m = 0.25
(a) P(X<3)
P(X < 3) = 0.882
<u>The probability the call takes less than 3 minutes is 0.882.</u>
(b) P(X<4)
P(X < 4) = 0.908
<u>The probability the call takes less tahn 4 minutes is 0.908.</u>
(c) P(X<5)
P(X < 5) = 0.928
<u>The probability of calls taking less than 5 minutes is 0.928.</u>
(d) P(X>5)
Knowing that the sum of probabilities of less than and more than has to equal 1:
P(X<x) + P(X>x) = 1
P(X>x) = 1 - P(PX<x)
For P(X>5):
P(X > 5) = 0.286
<u>The probability of calls taking more than 5 minutes is 0.286.</u>
(e) P(X>7)
P(X > 7) = 0.174
<u>The probability of calls taking more than 7 minutes is 0.174.</u>
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
Susie bought 434 pounds, and ate 58pounds
so, 434-58= 376
> 376pounds left
Answer:
see explanation
Step-by-step explanation:
Given the recursive formula = and
= 2 = , then
= ( multiply both sides by 4 )
a₃ = 4 × = 9
= 9 ( multiply both sides by 4 )
a₂ = 36
= 36 ( multiply both sides by 4 )
a₁ = 144
The first 4 terms are
144, 36, 9, 2