Answer:
0.36427
Step-by-step explanation:
Mean = λ = 18 messages per hour
P(X = x) = (e^-λ)(λ⁻ˣ)/x!
P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)
But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)
P(15 < X < 20) = P(X < 20) - P(X ≤ 15)
These probabilities will be evaluated using a cumulative frequency calculator.
P(X < 20) = 0.65092
P(X ≤ 15) = poissoncdf(18, 15) = 0.28665
P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.
You can use the Poisson distribution calculator here
https://stattrek.com/online-calculator/poisson.aspx
Answer:
D) 20 in
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
Substituting what we know
980 pi = pi (7)^2 h
Divide each side by pi
980 pi /pi= pi 49 h/pi
980 = 49h
Divide each side by 49
980/49 = 49h/49
20 =h
Answer:
74%
Step-by-step explanation:
37/50= 0.74x100= 74%
Answer:
63/5 or 12 (3/5)
Step-by-step explanation:
It is 8 whole (1 ÷ 5) plus 4 whole (2 ÷ 5)
So,we can write it as 8 (1/5) + 4 (2/5)
Then we will take those mixed fractions to improper fractions by using the rule of multiplication.
8 will be multiplied by 5 and then the value will be added to 1. Same rule will be applied for the second fraction.
(41÷5) + (22÷5)
Now we will take L.C.M. (Least common multiple) for both denominators 5 and 5. The L.C.M of 5 and 5 = 5
(41 + 22)/5
= 63/5
It is the answer. Also we can make this improper fraction into mixed fraction by dividing the whole number by 5.
12 (3/5)
