Answer:
he will spend all his money on gas and not make it down the block
The different probabilities and number of callers expected to be waiting are;
A) P(x = 3) = 0.0286
B) P(x = 13) = 0.1056
C) 8 will be waiting
D) P(x = 0) = 0.0003
E) P(x = 0) = 0.0067
<h3>How to find probability using Poisson distribution?</h3>
We are given the rate of 48 phone calls per hour.
Thus, we will use poisson's distribution formula;
P(x) = (λˣ × e^(-λ))/x!
A) Probability of receiving three calls in a 10-minute interval of time which is P(x = 3). Thus;
λ = 48 * (10/60)
λ = 8
P(x = 3) = (8³ × e⁻⁸)/3!
P(x = 3) = 0.0286
B) Probability of receiving exactly 13 calls in 15 minutes is P(x = 13). Thus;
λ = 48 * (15/60)
λ = 12
P(x = 13) = (12¹³ × e⁻¹²)/13!
P(x = 13) = 0.1056
C) No calls are currently on hold and it takes 10 minutes to complete one call. Thus;
λ = 48 * (10/60)
λ = 8
Thus, 8 will be waiting after 10 minutes.
D) Probability that no one will be waiting is;
P(x = 0) = (8⁰ × e⁻⁸)/0!
P(x = 0) = 0.0003
E) No calls being processed and it takes 5 minutes for a personal time without being interrupted by a call. Thus;
λ = 48 * (5/60)
λ = 4
P(x = 0) = (4⁰ × e⁻⁵)/0!
P(x = 0) = 0.0067
Read more about probability with poisson's distribution at; brainly.com/question/7879375
The answer is <span>A.) F(x) = 10(2.5)^x</span><span>.
</span>Since our base (2.5) is greater than 1, our graph would be increasing, hence it matches the given graph (it increases to the right, or towards quadrant I). Now all we need to do is solve for the y-intercept:
F(x) = 10(2.5)^x
F(0) = 10(2.5)^0 [substitute 0 in for x]
F(0) = 10(1) [any number raised to 0 would always equal 1]
y-intercept: 10
Now does it match the graph? <span><em>Yes, it does.</em>
</span>
Thus, our exponential function for this graph would be F(x) = 10(2.5)^x.
<em /><u>Tip for life</u>: When solving for the y-intercept of exponential functions, our y-intercept is always the number in front of the base (in this case, <u /><u><em>10</em></u>(2.5)^x).
<em>Hope this helps.</em>
Answer:
-1.4335
Step-by-step explanation:
