Given:
A city's population has increased 40% in the last 5 years and is now 53,782 people.
To find:
The population 5 years ago.
Solution:
Let x be the population 5 years ago.
A city's population has increased 40% in the last 5 years.
So, present population is
It is given that the present population is 53782.
Therefore, the population 5 years ago was about 38416.
Answer:
The x-intercept is
The y-intercept is
Step-by-step explanation:
Suppose you have a function f:
The x-intercept is the value of x when .
The x-intercept is the value of y when .
Solution
We have:
x-intercept
The x-intercept is the value of x when . So:
*(-1)
The x-intercept is
y-intercept
The y-intercept is the value of y when . So:
The y-intercept is
Answer:
(a) The value of P (None) is 0.062.
(b) The value of P(at least one) is 0.938.
(c) The value of P(at most one) is 0.253.
(d) The event is not unusual.
Step-by-step explanation:
Let <em>X</em> = number of households watching the show.
The probability of the random variable <em>x</em> is, P (X) = <em>p</em> = 0.18.
The sample selected for the survey is of size, <em>n</em> = 14
The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 14 and <em>p</em> = 0.18.
The probability of a Binomial distribution is computed using the formula:
(a)
Compute the probability that none of the households are tuned to CSI: Shoboygan as follows:
Thus, the value of P (None) is 0.062.
(b)
Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:
P (X ≥ 1) = 1 - P (X < 1)
= 1 - P (X = 0)
Thus, the value of P(at least one) is 0.938.
(c)
Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:
P (X ≤ 1) = P (X = 0) + P (X = 1)
Thus, the value of P(at most one) is 0.253.
(d)
An event that has a very low probability of occurrence is known as an unusual event.
The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.
This probability value is not low.
Hence, the event is not unusual.