Answer:
The probability of exactly 2 breakdowns next month = 0.08422
Step-by-step explanation:
To calculate the probability of exactly 2 breakdowns next month, we use Poisson distribution formula.
P(X = x) = (e^-λ)(λˣ)/x!
Mean = λ = 5 breakdowns per month
x = 2 breakdowns per month
P(X = 2) = (e⁻⁵)(5²)/2!
P(X = 2) = 0.08422
Answer: option D
Step-by-step explanation:
Remember the cosine identity:
Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:
Now you can substitute values into and then reduce the fraction.
THerefore you get:
Answer:
x ≈ 11.7
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos26° = = ( multiply both sides by 13 )
13 × cos26° = x , then
x ≈ 11.7 ( to the nearest tenth )
1/2 probability of 1 flip
1/2 x 1/2 x 1/2 x 1/2 = 1/16 probability