Answer:
Step-by-step explanation:
Given
Required
Percentage that is not more than 3.24
The above implies that:
Calculate z score
So, the probability is represented s:
From z probability
Hence:
22. P(n > 3) = P(4)+P(5) = (4+5)/30 = 9/30 = 3/10
23. The game isn't fair because there as many even numbers as there are odd numbers on a die. You get double the points he gets at the same chance!
Answer:
T(a) =(a+2)/11
Step-by-step explanation:
The inverse of the inverse is the function
To find the inverse let T^-1(a) be y
y = 11a -2
Exchange y and a
a = 11y -2
Solve for y
Add 2 to each side
a+2 = 11y -2 +2
a+2 =11y
Divide each side by 11
(a+2)/11 =y
T(a) =(a+2)/11
Answer:
13.53% probability that no customers arrive in a five-minute period
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
They arrive at a rate of two every five minutes
This means that
What is the probability that no customers arrive in a five-minute period?
This is P(X = 0).
13.53% probability that no customers arrive in a five-minute period
Answer:
α = 27.9794744° ≈ 28.0 m (nearest tenth)
Step-by-step explanation:
Step 1:
Opposite (O) = 42.5 (the side opposite to the reference angle, α)
Adjacent (A) = 80
Hypotenuse (H) = the longest side opposite to the right angle
2. We are given the adjacent (A) and opposite (O) lengths, we would use TOA. Which is:
Tan α = Opp/Adj
Plug in the values
Tan α = 42.5/80
3. Make α stand alone
α =
4. α = 27.9794744° ≈ 28.0 m (nearest tenth)