Answer:
Proportionality constant =
Step-by-step explanation:
From the graph attached,
Data set representing the relation between seeing lightning and the hearing thunder is,
{(15, 3), (25, 5), (35, 7), (45, 9)}
Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)
d = kt
Here k = proportionality constant
k =
From the data set one point is (15, 3).
k =
k = miles per second
Therefore, proportionality constant is miles per second.
Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is
Where
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula
Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50